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Showing 1 - 200 of 1720 Journals sorted alphabetically
AAPS Journal     Hybrid Journal   (Followers: 20)
Achievements in the Life Sciences     Open Access   (Followers: 4)
ACS Synthetic Biology     Full-text available via subscription   (Followers: 21)
Acta Biologica Colombiana     Open Access   (Followers: 7)
Acta Biologica Hungarica     Full-text available via subscription   (Followers: 4)
Acta Biologica Sibirica     Open Access  
Acta Biomaterialia     Hybrid Journal   (Followers: 25)
Acta Biotheoretica     Hybrid Journal   (Followers: 5)
Acta Chiropterologica     Full-text available via subscription   (Followers: 6)
acta ethologica     Hybrid Journal   (Followers: 4)
Acta Limnologica Brasiliensia     Open Access   (Followers: 3)
Acta Médica Costarricense     Open Access   (Followers: 2)
Acta Musei Silesiae, Scientiae Naturales : The Journal of Silesian Museum in Opava     Open Access  
Acta Neurobiologiae Experimentalis     Open Access  
Acta Parasitologica     Hybrid Journal   (Followers: 9)
Acta Scientiarum. Biological Sciences     Open Access   (Followers: 2)
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Actualidades Biológicas     Open Access   (Followers: 1)
Advanced Health Care Technologies     Open Access   (Followers: 4)
Advanced Studies in Biology     Open Access  
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 3)
Advances in Bioinformatics     Open Access   (Followers: 19)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4)
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Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 12)
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Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 5)
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Advances in Environmental Sciences - International Journal of the Bioflux Society     Open Access   (Followers: 21)
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Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3)
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Advances in Structural Biology     Full-text available via subscription   (Followers: 8)
Advances in Virus Research     Full-text available via subscription   (Followers: 5)
African Journal of Range & Forage Science     Hybrid Journal   (Followers: 6)
AFRREV STECH : An International Journal of Science and Technology     Open Access   (Followers: 1)
Ageing Research Reviews     Hybrid Journal   (Followers: 8)
Aging Cell     Open Access   (Followers: 11)
Agrokémia és Talajtan     Full-text available via subscription   (Followers: 2)
Agrokreatif Jurnal Ilmiah Pengabdian kepada Masyarakat     Open Access  
AJP Cell Physiology     Full-text available via subscription   (Followers: 13)
AJP Endocrinology and Metabolism     Full-text available via subscription   (Followers: 23)
AJP Lung Cellular and Molecular Physiology     Full-text available via subscription   (Followers: 3)
Al-Kauniyah : Jurnal Biologi     Open Access  
Alasbimn Journal     Open Access   (Followers: 1)
AMB Express     Open Access   (Followers: 1)
Ambix     Hybrid Journal   (Followers: 3)
American Biology Teacher     Full-text available via subscription   (Followers: 13)
American Fern Journal     Full-text available via subscription   (Followers: 1)
American Journal of Agricultural and Biological Sciences     Open Access   (Followers: 10)
American Journal of Bioethics     Hybrid Journal   (Followers: 10)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Human Biology     Hybrid Journal   (Followers: 12)
American Journal of Medical and Biological Research     Open Access   (Followers: 6)
American Journal of Plant Sciences     Open Access   (Followers: 19)
American Journal of Primatology     Hybrid Journal   (Followers: 15)
American Malacological Bulletin     Full-text available via subscription   (Followers: 3)
American Naturalist     Full-text available via subscription   (Followers: 72)
Amphibia-Reptilia     Hybrid Journal   (Followers: 6)
Anaerobe     Hybrid Journal   (Followers: 4)
Analytical Methods     Full-text available via subscription   (Followers: 10)
Anatomical Science International     Hybrid Journal   (Followers: 2)
Animal Cells and Systems     Hybrid Journal   (Followers: 4)
Annales de Limnologie - International Journal of Limnology     Hybrid Journal   (Followers: 1)
Annales françaises d'Oto-rhino-laryngologie et de Pathologie Cervico-faciale     Full-text available via subscription   (Followers: 3)
Annales Henri Poincaré     Hybrid Journal   (Followers: 3)
Annales UMCS, Biologia     Open Access   (Followers: 1)
Annals of Applied Biology     Hybrid Journal   (Followers: 7)
Annals of Biomedical Engineering     Hybrid Journal   (Followers: 18)
Annals of Human Biology     Hybrid Journal   (Followers: 4)
Annual Review of Biomedical Engineering     Full-text available via subscription   (Followers: 17)
Annual Review of Biophysics     Full-text available via subscription   (Followers: 25)
Annual Review of Cancer Biology     Full-text available via subscription   (Followers: 1)
Annual Review of Cell and Developmental Biology     Full-text available via subscription   (Followers: 38)
Annual Review of Food Science and Technology     Full-text available via subscription   (Followers: 15)
Annual Review of Genomics and Human Genetics     Full-text available via subscription   (Followers: 20)
Annual Review of Phytopathology     Full-text available via subscription   (Followers: 10)
Anthropological Review     Open Access   (Followers: 24)
Anti-Infective Agents     Hybrid Journal   (Followers: 3)
Antibiotics     Open Access   (Followers: 9)
Antioxidants     Open Access   (Followers: 4)
Antioxidants & Redox Signaling     Hybrid Journal   (Followers: 8)
Antonie van Leeuwenhoek     Hybrid Journal   (Followers: 5)
Anzeiger für Schädlingskunde     Hybrid Journal   (Followers: 1)
Apidologie     Hybrid Journal   (Followers: 4)
Apmis     Hybrid Journal   (Followers: 1)
APOPTOSIS     Hybrid Journal   (Followers: 8)
Applied Bionics and Biomechanics     Open Access   (Followers: 8)
Applied Vegetation Science     Full-text available via subscription   (Followers: 9)
Aquaculture Environment Interactions     Open Access   (Followers: 2)
Aquaculture International     Hybrid Journal   (Followers: 22)
Aquaculture Reports     Open Access   (Followers: 3)
Aquaculture, Aquarium, Conservation & Legislation - International Journal of the Bioflux Society     Open Access   (Followers: 6)
Aquatic Biology     Open Access   (Followers: 5)
Aquatic Ecology     Hybrid Journal   (Followers: 32)
Aquatic Ecosystem Health & Management     Hybrid Journal   (Followers: 14)
Aquatic Science and Technology     Open Access   (Followers: 3)
Aquatic Toxicology     Hybrid Journal   (Followers: 20)
Archaea     Open Access   (Followers: 3)
Archiv für Molluskenkunde: International Journal of Malacology     Full-text available via subscription   (Followers: 3)
Archives of Biomedical Sciences     Open Access   (Followers: 7)
Archives of Microbiology     Hybrid Journal   (Followers: 8)
Archives of Natural History     Hybrid Journal   (Followers: 8)
Archives of Oral Biology     Hybrid Journal   (Followers: 2)
Archives of Virology     Hybrid Journal   (Followers: 5)
Archivum Immunologiae et Therapiae Experimentalis     Hybrid Journal   (Followers: 2)
Arid Ecosystems     Hybrid Journal   (Followers: 3)
Arquivos do Instituto Biológico     Open Access   (Followers: 1)
Arquivos do Museu Dinâmico Interdisciplinar     Open Access  
Arthropod Structure & Development     Hybrid Journal   (Followers: 2)
Arthropods     Open Access   (Followers: 1)
Artificial DNA: PNA & XNA     Hybrid Journal   (Followers: 2)
Artificial Photosynthesis     Open Access   (Followers: 1)
Asian Bioethics Review     Full-text available via subscription   (Followers: 2)
Asian Journal of Biodiversity     Open Access   (Followers: 5)
Asian Journal of Biological Sciences     Open Access   (Followers: 3)
Asian Journal of Cell Biology     Open Access   (Followers: 6)
Asian Journal of Developmental Biology     Open Access   (Followers: 2)
Asian Journal of Medical and Biological Research     Open Access   (Followers: 2)
Asian Journal of Nematology     Open Access   (Followers: 3)
Asian Journal of Poultry Science     Open Access   (Followers: 4)
Australian Life Scientist     Full-text available via subscription   (Followers: 2)
Australian Mammalogy     Hybrid Journal   (Followers: 6)
Autophagy     Hybrid Journal   (Followers: 2)
Avian Biology Research     Full-text available via subscription   (Followers: 4)
Avian Conservation and Ecology     Open Access   (Followers: 12)
Bacteriology Journal     Open Access   (Followers: 2)
Bacteriophage     Full-text available via subscription   (Followers: 4)
Bangladesh Journal of Bioethics     Open Access  
Bangladesh Journal of Plant Taxonomy     Open Access  
Bangladesh Journal of Scientific Research     Open Access   (Followers: 2)
Berita Biologi     Open Access   (Followers: 1)
Between the Species     Open Access   (Followers: 1)
Bio Tribune Magazine     Hybrid Journal  
BIO Web of Conferences     Open Access  
BIO-Complexity     Open Access  
Bio-Grafía. Escritos sobre la Biología y su enseñanza     Open Access  
Bioanalytical Reviews     Hybrid Journal   (Followers: 2)
Biocatalysis and Biotransformation     Hybrid Journal   (Followers: 6)
Biochemistry and Cell Biology     Hybrid Journal   (Followers: 14)
Biochimie     Hybrid Journal   (Followers: 7)
BioControl     Hybrid Journal   (Followers: 5)
Biocontrol Science and Technology     Hybrid Journal   (Followers: 5)
Biodemography and Social Biology     Hybrid Journal   (Followers: 1)
Biodiversity : Research and Conservation     Open Access   (Followers: 27)
Biodiversity and Natural History     Open Access   (Followers: 5)
Biodiversity Data Journal     Open Access   (Followers: 3)
Biodiversity Informatics     Open Access   (Followers: 1)
Bioedukasi : Jurnal Pendidikan Biologi FKIP UM Metro     Open Access  
Bioeksperimen : Jurnal Penelitian Biologi     Open Access  
Bioelectrochemistry     Hybrid Journal   (Followers: 2)
Bioelectromagnetics     Hybrid Journal   (Followers: 1)
Bioenergy Research     Hybrid Journal   (Followers: 2)
Bioengineering and Bioscience     Open Access   (Followers: 1)
BioEssays     Hybrid Journal   (Followers: 10)
Bioethics     Hybrid Journal   (Followers: 14)
BioéthiqueOnline     Open Access  
Biofabrication     Hybrid Journal   (Followers: 3)
Biogeosciences (BG)     Open Access   (Followers: 10)
Biogeosciences Discussions (BGD)     Open Access   (Followers: 1)
Bioinformatics     Hybrid Journal   (Followers: 311)
Bioinformatics and Biology Insights     Open Access   (Followers: 15)
Bioinspiration & Biomimetics     Hybrid Journal   (Followers: 7)
Biointerphases     Open Access   (Followers: 1)
Biojournal of Science and Technology     Open Access  
Biologia     Hybrid Journal  
Biologia on-line : Revista de divulgació de la Facultat de Biologia     Open Access  
Biological Bulletin     Partially Free   (Followers: 5)
Biological Control     Hybrid Journal   (Followers: 4)
Biological Invasions     Hybrid Journal   (Followers: 16)
Biological Journal of the Linnean Society     Hybrid Journal   (Followers: 16)
Biological Letters     Open Access   (Followers: 4)
Biological Procedures Online     Open Access  
Biological Psychiatry     Hybrid Journal   (Followers: 42)
Biological Psychology     Hybrid Journal   (Followers: 6)
Biological Research     Open Access  
Biological Rhythm Research     Hybrid Journal   (Followers: 2)
Biological Theory     Hybrid Journal   (Followers: 1)
Biological Trace Element Research     Hybrid Journal  
Biologicals     Full-text available via subscription   (Followers: 9)
Biologics: Targets & Therapy     Open Access   (Followers: 1)
Biologie Aujourd'hui     Full-text available via subscription  
Biologie in Unserer Zeit (Biuz)     Hybrid Journal   (Followers: 42)
Biologija     Open Access  
Biology     Open Access   (Followers: 5)
Biology and Philosophy     Hybrid Journal   (Followers: 17)
Biology Bulletin     Hybrid Journal   (Followers: 1)
Biology Bulletin Reviews     Hybrid Journal  
Biology Direct     Open Access   (Followers: 7)

        1 2 3 4 5 6 7 8 | Last

Journal Cover Annales Henri Poincaré
  [SJR: 1.377]   [H-I: 32]   [3 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1424-0637 - ISSN (Online) 1424-0661
   Published by Springer-Verlag Homepage  [2352 journals]
  • The Neumann Isospectral Problem for Trapezoids
    • Authors: Hamid Hezari; Zhiqin Lu; Julie Rowlett
      Pages: 3759 - 3792
      Abstract: We show that non-obtuse trapezoids with identical Neumann spectra are congruent up to rigid motions of the plane. The proof is based on heat trace invariants and some new wave trace invariants associated to certain diffractive billiard trajectories. We use the method of reflections to express the Dirichlet and Neumann wave kernels in terms of the wave kernel of the double polygon. Using Hillairet’s trace formulas for isolated diffractive geodesics and one-parameter families of regular geodesics with geometrically diffractive boundaries for Euclidean surfaces with conical singularities (Hillairet in J Funct Anal 226(1):48–89, 2005), we obtain the new wave trace invariants for trapezoids. To handle the reflected term, we use another result of Hillairet (J Funct Anal 226(1):48–89, 2005), which gives a Fourier integral operator representation for the Keller and Friedlander parametrix (Keller in Proc Symp Appl Math 8:27–52, 1958; Friedlander in Math Proc Camb Philos Soc 90(2):335–341, 1981) of the wave propagator near regular diffractive geodesics. The reason we can only treat the Neumann case is that the wave trace is “more singular” for the Neumann case compared to the Dirichlet case. This is a new observation which is of independent interest.
      PubDate: 2017-11-08
      DOI: 10.1007/s00023-017-0617-7
      Issue No: Vol. 18, No. 12 (2017)
  • Universality of Single-Qudit Gates
    • Authors: Adam Sawicki; Katarzyna Karnas
      Pages: 3515 - 3552
      Abstract: We consider the problem of deciding if a set of quantum one-qudit gates \(\mathcal {S}=\{g_1,\ldots ,g_n\}\subset G\) is universal, i.e. if \({<}\mathcal {S}{>}\) is dense in G, where G is either the special unitary or the special orthogonal group. To every gate g in \(\mathcal {S}\) we assign the orthogonal matrix \(\mathrm {Ad}_g\) that is image of g under the adjoint representation \(\mathrm {Ad}:G\rightarrow SO(\mathfrak {g})\) and \(\mathfrak {g}\) is the Lie algebra of G. The necessary condition for the universality of \(\mathcal {S}\) is that the only matrices that commute with all \(\mathrm {Ad}_{g_i}\) ’s are proportional to the identity. If in addition there is an element in \({<}\mathcal {S}{>}\) whose Hilbert–Schmidt distance from the centre of G belongs to \(]0,\frac{1}{\sqrt{2}}[\) , then \(\mathcal {S}\) is universal. Using these we provide a simple algorithm that allows deciding the universality of any set of d-dimensional gates in a finite number of steps and formulate a general classification theorem.
      PubDate: 2017-11-01
      DOI: 10.1007/s00023-017-0604-z
      Issue No: Vol. 18, No. 11 (2017)
  • On the Radius of Spatial Analyticity for the Quartic Generalized KdV
    • Authors: Sigmund Selberg; Achenef Tesfahun
      Pages: 3553 - 3564
      Abstract: Lower bound on the rate of decrease in time of the uniform radius of spatial analyticity of solutions to the quartic generalized KdV equation is derived, which improves an earlier result by Bona, Grujić and Kalisch.
      PubDate: 2017-11-01
      DOI: 10.1007/s00023-017-0605-y
      Issue No: Vol. 18, No. 11 (2017)
  • Veiled Singularities for the Spherically Symmetric Massless
           Einstein–Vlasov System
    • Authors: Alan D. Rendall; Juan J. L. Velázquez
      Pages: 3565 - 3631
      Abstract: This paper continues the investigation of the formation of naked singularities in the collapse of collisionless matter initiated in Rendall and Velázquez (Annales Henri Poincaré 12:919–964, 2011). There the existence of certain classes of non-smooth solutions of the Einstein–Vlasov system was proved. Those solutions are self-similar and hence not asymptotically flat. To obtain solutions which are more physically relevant it makes sense to attempt to cut off these solutions in a suitable way so as to make them asymptotically flat. This task, which turns out to be technically challenging, will be carried out in this paper.
      PubDate: 2017-11-01
      DOI: 10.1007/s00023-017-0607-9
      Issue No: Vol. 18, No. 11 (2017)
  • A Geometric Invariant Characterising Initial Data for the
           Kerr–Newman Spacetime
    • Authors: Michael J. Cole; Juan A. Valiente Kroon
      Pages: 3651 - 3693
      Abstract: We describe the construction of a geometric invariant characterising initial data for the Kerr–Newman spacetime. This geometric invariant vanishes if and only if the initial data set corresponds to exact Kerr–Newman initial data, and so characterises this type of data. We first illustrate the characterisation of the Kerr–Newman spacetime in terms of Killing spinors. The space-spinor formalism is then used to obtain a set of four independent conditions on an initial Cauchy hypersurface that guarantee the existence of a Killing spinor on the development of the initial data. Following a similar analysis in the vacuum case, we study the properties of solutions to the approximate Killing spinor equation and use them to construct the geometric invariant.
      PubDate: 2017-11-01
      DOI: 10.1007/s00023-017-0606-x
      Issue No: Vol. 18, No. 11 (2017)
  • Fock Representation of Gravitational Boundary Modes and the Discreteness
           of the Area Spectrum
    • Authors: Wolfgang Wieland
      Pages: 3695 - 3717
      Abstract: In this article, we study the quantum theory of gravitational boundary modes on a null surface. These boundary modes are given by a spinor and a spinor-valued two-form, which enter the gravitational boundary term for self-dual gravity. Using a Fock representation, we quantise the boundary fields and show that the area of a two-dimensional cross section turns into the difference of two number operators. The spectrum is discrete, and it agrees with the one known from loop quantum gravity with the correct dependence on the Barbero–Immirzi parameter. No discrete structures (such as spin network functions, or triangulations of space) are ever required—the entire derivation happens at the level of the continuum theory. In addition, the area spectrum is manifestly Lorentz invariant.
      PubDate: 2017-11-01
      DOI: 10.1007/s00023-017-0598-6
      Issue No: Vol. 18, No. 11 (2017)
  • Area Operator in Loop Quantum Gravity
    • Authors: Adrian P. C. Lim
      Pages: 3719 - 3735
      Abstract: A hyperlink is a finite set of non-intersecting simple closed curves in \(\mathbb {R} \times \mathbb {R}^3\) . Let S be an orientable surface in \(\mathbb {R}^3\) . The dynamical variables in general relativity are the vierbein e and a \(\mathfrak {su}(2)\times \mathfrak {su}(2)\) -valued connection \(\omega \) . Together with Minkowski metric, e will define a metric g on the manifold. Denote \(A_S(e)\) as the area of S, for a given choice of e. The Einstein–Hilbert action \(S(e,\omega )\) is defined on e and \(\omega \) . We will quantize the area of the surface S by integrating \(A_S(e)\) against a holonomy operator of a hyperlink L, disjoint from S, and the exponential of the Einstein–Hilbert action, over the space of vierbeins e and \(\mathfrak {su}(2)\times \mathfrak {su}(2)\) -valued connections \(\omega \) . Using our earlier work done on Chern–Simons path integrals in \(\mathbb {R}^3\) , we will write this infinite dimensional path integral as the limit of a sequence of Chern–Simons integrals. Our main result shows that the area operator can be computed from a link-surface diagram between L and S. By assigning an irreducible representation of \(\mathfrak {su}(2)\times \mathfrak {su}(2)\) to each component of L, the area operator gives the total net momentum impact on the surface S.
      PubDate: 2017-11-01
      DOI: 10.1007/s00023-017-0600-3
      Issue No: Vol. 18, No. 11 (2017)
  • Local Versus Global Temperature Under a Positive Curvature Condition
    • Authors: Ko Sanders
      Pages: 3737 - 3756
      Abstract: For a massless free scalar field in a globally hyperbolic space-time we compare the global temperature \(T=\beta ^{-1}\) , defined for the \(\beta \) -KMS states \(\omega ^{(\beta )}\) , with the local temperature \(T_{\omega }(x)\) introduced by Buchholz and Schlemmer. We prove the following claims: (1) whenever \(T_{\omega ^{(\beta )}}(x)\) is defined, it is a continuous, monotonically decreasing function of \(\beta \) at every point x. (2) \(T_{\omega }(x)\) is defined when M is ultra-static with compact Cauchy surface and non-trivial scalar curvature \(R\ge 0\) , \(\omega \) is stationary, and a few other assumptions are satisfied. Our proof of (2) relies on the positive mass theorem. We discuss the necessity of its assumptions, providing counter-examples in an ultra-static space-time with non-compact Cauchy surface and \(R<0\) somewhere. Our results suggest that under suitable circumstances (in particular in the absence of acceleration, rotation and violations of the weak energy condition in the background space-time) both notions of temperature provide qualitatively similar information, and hence the Wick square can be used as a local thermometer.
      PubDate: 2017-11-01
      DOI: 10.1007/s00023-017-0603-0
      Issue No: Vol. 18, No. 11 (2017)
  • Generalized Wentzell Boundary Conditions and Quantum Field Theory
    • Authors: Jochen Zahn
      Abstract: We discuss a free scalar field subject to generalized Wentzell boundary conditions. On the classical level, we prove well posedness of the Cauchy problem and in particular causality. Upon quantization, we obtain a field that may naturally be restricted to the boundary. We discuss the holographic relation between this boundary field and the bulk field.
      PubDate: 2017-11-11
      DOI: 10.1007/s00023-017-0629-3
  • The Complexity of Translationally Invariant Spin Chains with Low Local
    • Authors: Johannes Bausch; Toby Cubitt; Maris Ozols
      Abstract: We prove that estimating the ground state energy of a translationally invariant, nearest-neighbour Hamiltonian on a 1D spin chain is \(\textsf {QMA}_{{\textsf {EXP}}}\) -complete, even for systems of low local dimension ( \(\approx 40\) ). This is an improvement over the best previously known result by several orders of magnitude, and it shows that spin-glass-like frustration can occur in translationally invariant quantum systems with a local dimension comparable to the smallest-known non-translationally invariant systems with similar behaviour. While previous constructions of such systems rely on standard models of quantum computation, we construct a new model that is particularly well-suited for encoding quantum computation into the ground state of a translationally invariant system. This allows us to shift the proof burden from optimizing the Hamiltonian encoding a standard computational model, to proving universality of a simple model. Previous techniques for encoding quantum computation into the ground state of a local Hamiltonian allow only a linear sequence of gates, hence only a linear (or nearly linear) path in the graph of all computational states. We extend these techniques by allowing significantly more general paths, including branching and cycles, thus enabling a highly efficient encoding of our computational model. However, this requires more sophisticated techniques for analysing the spectrum of the resulting Hamiltonian. To address this, we introduce a framework of graphs with unitary edge labels. After relating our Hamiltonian to the Laplacian of such a unitary labelled graph, we analyse its spectrum by combining matrix analysis and spectral graph theory techniques.
      PubDate: 2017-10-29
      DOI: 10.1007/s00023-017-0609-7
  • Semiclassical Szegö Limit of Eigenvalue Clusters for the Hydrogen
           Atom Zeeman Hamiltonian
    • Authors: Misael Avendaño-Camacho; Peter D. Hislop; Carlos Villegas-Blas
      Abstract: We prove a limiting eigenvalue distribution theorem (LEDT) for suitably scaled eigenvalue clusters around the discrete negative eigenvalues of the hydrogen atom Hamiltonian formed by the perturbation by a weak constant magnetic field. We study the hydrogen atom Zeeman Hamiltonian \({H_V(h,B) = (1/2)( - \imath h {{\nabla }} - {{\mathbf {A}}}(h))^2 - \mathbf{x} ^{-1}}\) , defined on \(L^2 (\mathbb {R}^3)\) , in a constant magnetic field \({\mathbf {B}}(h) = {{\nabla }} \times {{\mathbf {A}}}(h)=(0,0,\epsilon (h)B)\) in the weak field limit \(\epsilon (h) \rightarrow 0\) as \(h\rightarrow {0}\) . We consider the Planck’s parameter h taking values along the sequence \(h=1/(N+1)\) , with \(N=0,1,2,\ldots \) , and \(N\rightarrow \infty \) . We prove a semiclassical \(N \rightarrow \infty \) LEDT of the Szegö-type for the scaled eigenvalue shifts and obtain both (i) an expression involving the regularized classical Kepler orbits with energy \(E=-1/2\) and (ii) a weak limit measure that involves the component \(\ell _3\) of the angular momentum vector in the direction of the magnetic field. This LEDT extends results of Szegö-type for eigenvalue clusters for bounded perturbations of the hydrogen atom to the Zeeman effect. The new aspect of this work is that the perturbation involves the unbounded, first-order, partial differential operator \(w(h, B) = \frac{(\epsilon (h)B)^2}{8} (x_1^2 + x_2^2) - \frac{ \epsilon (h)B}{2} hL_3 ,\) where the operator \(hL_3\) is the third component of the usual angular momentum operator and is the quantization of \(\ell _3\) . The unbounded Zeeman perturbation is controlled using localization properties of both the hydrogen atom coherent states \({\Psi _{{\varvec{\alpha }},N}}\) , and their derivatives \({L_3(h)\Psi _{{\varvec{\alpha }},N}}\) , in the large quantum number regime \(N\rightarrow \infty \) .
      PubDate: 2017-10-26
      DOI: 10.1007/s00023-017-0618-6
  • Correction to: Fluctuations of the Free Energy of the Spherical
           Sherrington–Kirkpatrick Model with Ferromagnetic Interaction
    • Authors: Jinho Baik; Ji Oon Lee
      Abstract: In Theorem 1.4 (iii) of the original article, we stated that 1 $$\begin{aligned} \sqrt{N} (F_N - F(\beta )) \Rightarrow \mathcal {N}(0, \alpha _2) \end{aligned}$$ in the ferromagnetic regime \(J > 1\) and \(\beta > \frac{1}{2J}\) . The proof was based on Theorem 1.5 (iii), which we proved in the paper, and a known random matrix theory result, given in the second part of (1.19) which reads 2 $$\begin{aligned} N^{1/2} \left( \mu _1 - \left( J + \frac{1}{J}\right) \right) \Rightarrow \mathcal {N}\left( 0, 2\left( 1- \frac{1}{J^2}\right) \right) \end{aligned}$$ for \(J>1\) .
      PubDate: 2017-10-25
      DOI: 10.1007/s00023-017-0613-y
  • Quantitative Mixing for Locally Hamiltonian Flows with Saddle Loops on
           Compact Surfaces
    • Authors: Davide Ravotti
      Abstract: Given a compact surface \(\mathcal {M}\) with a smooth area form \(\omega \) , we consider an open and dense subset of the set of smooth closed 1-forms on \(\mathcal {M}\) with isolated zeros which admit at least one saddle loop homologous to zero and we prove that almost every element in the former induces a mixing flow on each minimal component. Moreover, we provide an estimate of the speed of the decay of correlations for smooth functions with compact support on the complement of the set of singularities. This result is achieved by proving a quantitative version for the case of finitely many singularities of a theorem by Ulcigrai (Ergod Theory Dyn Syst 27(3):991–1035, 2007), stating that any suspension flow with one asymmetric logarithmic singularity over almost every interval exchange transformation is mixing. In particular, the quantitative mixing estimate we prove applies to asymmetric logarithmic suspension flows over rotations, which were shown to be mixing by Sinai and Khanin.
      PubDate: 2017-10-25
      DOI: 10.1007/s00023-017-0619-5
  • Pure Point Diffraction and Poisson Summation
    • Authors: Christoph Richard; Nicolae Strungaru
      Abstract: We show that the diffraction formula for regular model sets and the Poisson Summation Formula for the underlying lattice can be derived from one another. This is achieved using Fourier analysis of unbounded Radon measures on locally compact abelian groups, as developed by Argabright and de Lamadrid. We also discuss related diffraction results for certain classes of non-regular so-called weak model sets.
      PubDate: 2017-10-23
      DOI: 10.1007/s00023-017-0620-z
  • Linear Waves in the Interior of Extremal Black Holes II
    • Authors: Dejan Gajic
      Abstract: We consider solutions to the linear wave equation in the interior region of extremal Kerr black holes. We show that axisymmetric solutions can be extended continuously beyond the Cauchy horizon and, moreover, that if we assume suitably fast polynomial decay in time along the event horizon, their local energy is finite. We also extend these results to non-axisymmetric solutions on slowly rotating extremal Kerr–Newman black holes. These results are the analogues of results obtained in Gajic (Commun Math Phys 353(2), 717–770, 2017) for extremal Reissner–Nordström and stand in stark contrast to previously established results for the subextremal case, where the local energy was shown to generically blow up at the Cauchy horizon.
      PubDate: 2017-10-22
      DOI: 10.1007/s00023-017-0614-x
  • Maximal Hypersurfaces in Spacetimes with a Nonvanishing Spacelike Killing
    • Authors: Andrew Bulawa
      Abstract: We consider four-dimensional vacuum spacetimes which admit a nonvanishing spacelike Killing field. The quotient with respect to the Killing action is a three-dimensional quotient spacetime (M, g). We establish several results regarding maximal hypersurfaces (spacelike hypersurfaces of zero mean curvature) in such quotient spacetimes. First, we show that a complete noncompact maximal hypersurface must either be a cylinder \(S^1 \times {\mathbb {R}}\) with flat metric or else conformal to the Euclidean plane \({\mathbb {R}}^2\) . Second, we establish positivity of mass for certain maximal hypersurfaces, referring to a analogue of ADM mass adapted for the quotient setting. Finally, while lapse functions corresponding to the maximal hypersurface gauge are necessarily bounded in the four-dimensional asymptotically Euclidean setting, we show that nontrivial quotient spacetimes admit the maximal hypersurface gauge only with unbounded lapse.
      PubDate: 2017-10-20
      DOI: 10.1007/s00023-017-0610-1
  • Effective Potentials Generated by Field Interaction in the Quasi-Classical
    • Authors: Michele Correggi; Marco Falconi
      Abstract: We study the quasi-classical limit of a quantum system composed of finitely many nonrelativistic particles coupled to a quantized field in Nelson-type models. We prove that, as the field becomes classical and the corresponding degrees of freedom are traced out, the effective Hamiltonian of the particles converges in resolvent sense to a self-adjoint Schrödinger operator with an additional potential, depending on the state of the field. Moreover, we explicitly derive the expression of such a potential for a large class of field states and show that, for certain special sequences of states, the effective potential is trapping. In addition, we prove convergence of the ground-state energy of the full system to a suitable effective variational problem involving the classical state of the field.
      PubDate: 2017-10-17
      DOI: 10.1007/s00023-017-0612-z
  • Efimov Effect for a Three-Particle System with Two Identical Fermions
    • Authors: Giulia Basti; Alessandro Teta
      Abstract: We consider a three-particle quantum system in dimension three composed of two identical fermions of mass one and a different particle of mass m. The particles interact via two-body short range potentials. We assume that the Hamiltonians of all the two-particle subsystems do not have bound states with negative energy and, moreover, that the Hamiltonians of the two subsystems made of a fermion and the different particle have a zero-energy resonance. Under these conditions and for \(m<m_* = (13.607)^{-1}\) , we give a rigorous proof of the occurrence of the Efimov effect, i.e., the existence of infinitely many negative eigenvalues for the three-particle Hamiltonian H. More precisely, we prove that for \(m>m_*\) the number of negative eigenvalues of H is finite and for \(m<m_*\) the number N(z) of negative eigenvalues of H below \(z<0\) has the asymptotic behavior \(N(z) \sim \mathcal {C}(m) \log z \) for \(z \rightarrow 0^-\) . Moreover, we give an upper and a lower bound for the positive constant \(\mathcal {C}(m)\) .
      PubDate: 2017-10-14
      DOI: 10.1007/s00023-017-0608-8
  • Cyclotomic Gaudin Models, Miura Opers and Flag Varieties
    • Authors: Sylvain Lacroix; Benoît Vicedo
      Abstract: Let \(\mathfrak {g}\) be a semisimple Lie algebra over \(\mathbb {C}\) . Let \(\nu \in \hbox {Aut}\, \mathfrak {g}\) be a diagram automorphism whose order divides \(T \in \mathbb {Z}_{\ge 1}\) . We define cyclotomic \(\mathfrak {g}\) -opers over the Riemann sphere \(\mathbb {P}^1\) as gauge equivalence classes of \(\mathfrak {g}\) -valued connections of a certain form, equivariant under actions of the cyclic group \(\mathbb {Z}/ T\mathbb {Z}\) on \(\mathfrak {g}\) and \(\mathbb {P}^1\) . It reduces to the usual notion of \(\mathfrak {g}\) -opers when \(T = 1\) . We also extend the notion of Miura \(\mathfrak {g}\) -opers to the cyclotomic setting. To any cyclotomic Miura \(\mathfrak {g}\) -oper \(\nabla \) , we associate a corresponding cyclotomic \(\mathfrak {g}\) -oper. Let \(\nabla \) have residue at the origin given by a \(\nu \) -invariant rational dominant coweight \(\check{\lambda }_0\) and be monodromy-free on a cover of \(\mathbb {P}^1\) . We prove that the subset of all cyclotomic Miura \(\mathfrak {g}\) -opers associated with the same cyclotomic \(\mathfrak {g}\) -oper as \(\nabla \) is isomorphic to the \(\vartheta \) -invariant subset of the full flag variety of the adjoint group G of \(\mathfrak {g}\) , where the automorphism \(\vartheta \) depends on \(\nu \) , T and \(\check{\lambda }_0\) . The big cell of the latter is isomorphic to \(N^\vartheta \) , the \(\vartheta \) -invariant subgroup of the unipotent subgroup
      PubDate: 2017-10-13
      DOI: 10.1007/s00023-017-0616-8
  • Quivers, Line Defects and Framed BPS Invariants
    • Authors: Michele Cirafici
      Abstract: A large class of \({\mathcal {N}}=2\) quantum field theories admits a BPS quiver description, and the study of their BPS spectra is then reduced to a representation theory problem. In such theories the coupling to a line defect can be modeled by framed quivers. The associated spectral problem characterizes the line defect completely. Framed BPS states can be thought of as BPS particles bound to the defect. We identify the framed BPS degeneracies with certain enumerative invariants associated with the moduli spaces of stable quiver representations. We develop a formalism based on equivariant localization to compute explicitly such BPS invariants, for a particular choice of stability condition. Our framework gives a purely combinatorial solution to this problem. We detail our formalism with several explicit examples.
      PubDate: 2017-10-13
      DOI: 10.1007/s00023-017-0611-0
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