for Journals by Title or ISSN
for Articles by Keywords
help
  Subjects -> PHYSICS (Total: 798 journals)
    - ELECTRICITY AND MAGNETISM (9 journals)
    - MECHANICS (19 journals)
    - NUCLEAR PHYSICS (49 journals)
    - OPTICS (85 journals)
    - PHYSICS (581 journals)
    - SOUND (23 journals)
    - THERMODYNAMICS (32 journals)

PHYSICS (581 journals)

The end of the list has been reached or no journals were found for your choice.
Journal Cover Reviews in Mathematical Physics
  [SJR: 1.092]   [H-I: 36]   [0 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0129-055X - ISSN (Online) 1793-6659
   Published by World Scientific Homepage  [118 journals]
  • Superradiance initiated inside the ergoregion
    • Authors: Gregory Eskin
      Abstract: Reviews in Mathematical Physics, Volume 28, Issue 10, November 2016.
      We consider the stationary metrics that have both the black hole and the ergoregion. The class of such metric contains, in particular, the Kerr metric. We study the Cauchy problem with highly oscillatory initial data supported in a neighborhood inside the ergoregion with some initial energy [math]. We prove that when the time variable [math] increases this solution splits into two parts: one with the negative energy [math] ending at the event horizon in a finite time, and the second part, with the energy [math], escaping, under some conditions, to the infinity when [math]. Thus we get the superradiance phenomenon. In the case of the Kerr metric the superradiance phenomenon is “short-lived”, since both the solutions with positive and negative energies cross the outer event horizon in a finite time (modulo [math]) where [math] is a large parameter. We show that these solutions end on the singularity ring in a finite time. We study also the case of naked singularity.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-11-15T08:26:10Z
      DOI: 10.1142/S0129055X16500252
       
  • The Wasserstein geometry of nonlinear [math] models and the
           Hamilton–Perelman Ricci flow
    • Authors: Mauro Carfora
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      Nonlinear sigma models are quantum field theories describing, in the large deviation sense, random fluctuations of harmonic maps between a Riemann surface and a Riemannian manifold. Via their formal renormalization group analysis, they provide a framework for possible generalizations of the Hamilton–Perelman Ricci flow. By exploiting the heat kernel embedding introduced by Gigli and Mantegazza, we show that the Wasserstein geometry of the space of probability measures over Riemannian metric measure spaces provides a natural setting for discussing the relation between nonlinear sigma models and Ricci flow theory. In particular, we analyze the embedding of Ricci flow into a heat kernel renormalization group flow for dilatonic nonlinear sigma models, and characterize a non-trivial generalization of the Hamilton–Perelman version of the Ricci flow. We discuss in detail the monotonicity and gradient flow properties of this extended flow.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-11-17T01:50:35Z
      DOI: 10.1142/S0129055X17500015
       
  • Generalized Connes–Chern characters in [math]-theory with an application
           to weak invariants of topological insulators
    • Authors: Emil Prodan, Hermann Schulz-Baldes
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      We use constructive bounded Kasparov [math]-theory to investigate the numerical invariants stemming from the internal Kasparov products [math], [math], where the last morphism is provided by a tracial state. For the class of properly defined finitely-summable Kasparov [math]-cycles, the invariants are given by the pairing of [math]-theory of [math] with an element of the periodic cyclic cohomology of [math], which we call the generalized Connes–Chern character. When [math] is a twisted crossed product of [math] by [math], [math], we derive a local formula for the character corresponding to the fundamental class of a properly defined Dirac cycle. Furthermore, when [math], with [math] the algebra of continuous functions over a disorder configuration space, we show that the numerical invariants are connected to the weak topological invariants of the complex classes of topological insulators, defined in the physics literature. The end products are generalized index theorems for these weak invariants, which enable us to predict the range of the invariants and to identify regimes of strong disorder in which the invariants remain stable. The latter will be reported in a subsequent publication.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-11-02T10:34:41Z
      DOI: 10.1142/S0129055X16500240
       
  • Trace formulas for a class of non-Fredholm operators: A review
    • Authors: Alan Carey, Fritz Gesztesy, Harald Grosse, Galina Levitina, Denis Potapov, Fedor Sukochev, Dmitriy Zanin
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      Take a one-parameter family of self-adjoint Fredholm operators [math] on a Hilbert space [math], joining endpoints [math]. There is a long history of work on the question of whether the spectral flow along this path is given by the index of the operator [math] acting in [math], where [math] denotes the multiplication operator [math] for [math]. Most results are about the case where the operators [math] have compact resolvent. In this article, we review what is known when these operators have some essential spectrum and describe some new results. Using the operators [math], [math], an abstract trace formula for Fredholm operators with essential spectrum was proved in [23], extending a result of Pushnitski [35], although, still under strong hypotheses on [math]: trL2(ℝ;ℋ)((H2 − zI)−1 − (H 1 − zI)−1) = 1 2ztrL2(ℋ)(gz(A+) − gz(A−)), where [math], [math], [math]. Associated to the pairs [math] and [math] are Krein spectral shift functions [math] and [math], respectively. From the trace formula, it was shown that there is a second, Pushnitski-type, formula: ξ(λ; H2,H1) = 1 π∫−λ1/2λ1/2 ξ(ν; A+,A−)dν (λ − ν2)1/2 for a.e. λ > 0. This can be employed to establish the desired equality, Fredholm index = ξ(0; A+,A−) = spectral flow. This equality was generalized to non-Fredholm operators in [14] in the form Witten index = [ξR(0; A+,A−) + ξL(0; A+,A−)]/2, replacing the Fredholm index on the left-hand side by the Witten index of [math] and [math] on the right-hand side by an appropriate arithmetic mean (assuming [math] is a right and left Lebesgue point for [math] denoted by [math] and [math], respectively). But this applies only under the restrictive assumption that the endpoint [math] is a relatively trace class perturbation of [math] (ruling out general differential operators). In addition to reviewing this previous work, we describe in this article some extensions using a [math]-dimensional setup, where [math] are non-Fredholm differential operators. By a careful analysis we prove, for a class of examples, that the preceding trace formula still holds in this more general situation. Then we prove that the Pushnitski-type formula for spectral shift functions also holds and this then gives the equality of spectral shift functions in the form ξ(λ; H2,H1) = ξ(ν; A+,A−)for a.e. λ > 0 and a.e. ν ∈ ℝ, for the [math]-dimensional model operator at hand. This shows that neither the relatively trace class perturbation assumption nor the Fredholm assumption are required if one works with spectral shift functions. The results support the view that the spectral shift function should be a replacement for the spectral flow in certain non-Fredholm situations and also point the way to the study of higher-dimensional cases. We discuss the connection with summability questions in Fredholm modules in an appendix.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-10-25T03:38:31Z
      DOI: 10.1142/S0129055X16300028
       
  • Notes on topological insulators
    • Authors: Ralph M. Kaufmann, Dan Li, Birgit Wehefritz-Kaufmann
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      This paper is a survey of the [math]-valued invariant of topological insulators used in condensed matter physics. The [math]-valued topological invariant, which was originally called the TKNN invariant in physics, has now been fully understood as the first Chern number. The [math] invariant is more mysterious; we will explain its equivalent descriptions from different points of view and provide the relations between them. These invariants provide the classification of topological insulators with different symmetries in which K-theory plays an important role. Moreover, we establish that both invariants are realizations of index theorems which can also be understood in terms of condensed matter physics.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-10-25T03:38:29Z
      DOI: 10.1142/S0129055X1630003X
       
  • He–McKellar–Wilkens-type effect, quantum holonomies and
           Aharonov–Bohm-type effect for bound states from the Lorentz symmetry
           breaking effects
    • Authors: A. G. de Lima, H. Belich, K. Bakke
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of the Standard Model Extension determined by a tensor background [math], we establish a possible scenario where an analogue of the He–McKellar–Wilkens effect can stem from. Besides, we build quantum holonomies associated with the analogue of the He–McKellar–Wilkens effect and discuss a possible analogy with the geometric quantum computation. Finally, we investigate the dependence of the energy levels on the He–McKellar–Wilkens geometric phase induced by Lorentz symmetry breaking effects when the particle is confined to a hard-wall confining potential.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-10-07T03:58:38Z
      DOI: 10.1142/S0129055X16500239
       
  • He–McKellar–Wilkens-type effect, quantum holonomies and
           Aharonov–Bohm-type effect for bound states from the Lorentz symmetry
           breaking effects
    • Authors: A. G. de Lima, H. Belich, K. Bakke
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of the Standard Model Extension determined by a tensor background [math], we establish a possible scenario where an analogue of the He–McKellar–Wilkens effect can stem from. Besides, we build quantum holonomies associated with the analogue of the He–McKellar–Wilkens effect and discuss a possible analogy with the geometric quantum computation. Finally, we investigate the dependence of the energy levels on the He–McKellar–Wilkens geometric phase induced by Lorentz symmetry breaking effects when the particle is confined to a hard-wall confining potential.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-10-07T03:58:38Z
      DOI: 10.1142/S0129055X16500239
       
  • Stability of gas measures under perturbations and discretizations
    • Authors: Roberto Fernández, Pablo Groisman, Santiago Saglietti
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      For a general class of gas models — which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles — we determine a diluteness condition that implies: (1) uniqueness of the infinite-volume equilibrium measure; (2) stability of this measure under perturbations of parameters and discretization schemes, and (3) existence of a coupled perfect-simulation scheme for the infinite-volume measure together with its perturbations and discretizations. Some of these results have previously been obtained through methods based on cluster expansions. In contrast, our treatment is purely probabilistic and its diluteness condition is weaker than existing convergence conditions for cluster expansions.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-10-04T09:28:48Z
      DOI: 10.1142/S0129055X16500227
       
 
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
 
Home (Search)
Subjects A-Z
Publishers A-Z
Customise
APIs
Your IP address: 54.205.176.107
 
About JournalTOCs
API
Help
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-2016