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 Russian Journal of Nondestructive Testing       (Followers: 1) Russian Physics Journal Samuel Beckett Today/Aujourd'hui       (Followers: 2) Science and Technology of Nuclear Installations       (Followers: 1) Science China : Physics, Mechanics & Astronomy       (Followers: 1) Science Foundation in China       (Followers: 2) Scientific Reports       (Followers: 10) Selected Topics in Applied Earth Observations and Remote Sensing, IEEE Journal of       (Followers: 17) Sensor Letters       (Followers: 1) Sensors and Actuators A: Physical       (Followers: 64) Services Computing, IEEE Transactions on       (Followers: 3) Shock and Vibration       (Followers: 7) Shock Waves       (Followers: 5) Small       (Followers: 10) Software Engineering, IEEE Transactions on       (Followers: 25) Solid State Physics Solid-State Circuits Magazine, IEEE       (Followers: 4) South African Journal for Research in Sport, Physical Education and Recreation       (Followers: 4) Space Research Journal       (Followers: 2) Space Weather       (Followers: 3) Spectral Analysis Review Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy       (Followers: 8) Spectrochimica Acta Part B: Atomic Spectroscopy       (Followers: 7) Spectroscopy       (Followers: 3) Spectroscopy and Spectral Analysis Spectroscopy Letters: An International Journal for Rapid Communication       (Followers: 3) Sri Lankan Journal of Physics Strain       (Followers: 2) Strength of Materials       (Followers: 5) Strength, Fracture and Complexity       (Followers: 1) Structural Dynamics Studies In Applied Mathematics       (Followers: 1) Superconductor Science and Technology       (Followers: 1) Surface Engineering       (Followers: 3) Surface Review and Letters       (Followers: 1) Surface Science Reports       (Followers: 14) Surface Science Spectra Surface Topography : Metrology and Properties Synchrotron Radiation News       (Followers: 2) Synthetic Metals       (Followers: 3) Technical Physics Technical Physics Letters Tectonics       (Followers: 9) The Astronomy and Astrophysics Review       (Followers: 2) The Chemical Physics of Solid Surfaces The European Physical Journal H       (Followers: 1) The European Physical Journal Plus The International Journal of Multiphysics       (Followers: 2) The Physics of Metals and Metallography       (Followers: 4) The Physics Teacher       (Followers: 5) Theoretical and Computational Fluid Dynamics       (Followers: 7) Theoretical and Mathematical Physics       (Followers: 4) Topological Quantum Matter Transport Theory and Statistical Physics       (Followers: 4) Tribology International       (Followers: 32) Tribology Letters       (Followers: 5) Tribotest       (Followers: 1) Turkish Journal of Physics Ultrasonics       (Followers: 4) Ultrasonics Sonochemistry       (Followers: 2) Ultrasound in Medicine & Biology       (Followers: 6) Universal Journal of Physics and Application Western Journal of Communication       (Followers: 4) Women & Performance: a journal of feminist theory       (Followers: 3) Women in Engineering Magazine, IEEE       (Followers: 8) World Journal of Condensed Matter Physics X-Acoustics: Imaging and Sensing : Photoacoustics, Thermoacoustics, Magnetoacoustics Zeitschrift für angewandte Mathematik und Physik       (Followers: 1) Zeitschrift für Naturforschung A : A Journal of Physical Sciences
 Reviews in Mathematical Physics   [SJR: 0.985]   [H-I: 32]   Follow         Hybrid journal (It can contain Open Access articles)    ISSN (Print) 0129-055X - ISSN (Online) 1793-6659    Published by World Scientific  [120 journals]
• Topological T-duality for torus bundles with monodromy
• Authors: David Baraglia
Abstract: Reviews in Mathematical Physics, Volume 27, Issue 03, April 2015.
We give a simplified definition of topological T-duality that applies to arbitrary torus bundles. The new definition does not involve Chern classes or spectral sequences, only gerbes and morphisms between them. All the familiar topological conditions for T-duals are shown to follow. We determine necessary and sufficient conditions for existence of a T-dual in the case of affine torus bundles. This is general enough to include all principal torus bundles as well as torus bundles with arbitrary monodromy representations. We show that isomorphisms in twisted cohomology, twisted K-theory and of Courant algebroids persist in this general setting. We also give an example where twisted K-theory groups can be computed by iterating T-duality.
Citation: Reviews in Mathematical Physics
PubDate: Tue, 05 May 2015 06:11:58 GMT
DOI: 10.1142/S0129055X15500087

• Polymer measure: Varadhan's renormalization revisited
• Authors: Wolfgang Bock, Maria João Oliveira, José Luís da Silva, Ludwig Streit
Abstract: Reviews in Mathematical Physics, Ahead of Print.
Through chaos decomposition, we improve the Varadhan estimate for the rate of convergence of the centered approximate self-intersection local time of planar Brownian motion.
Citation: Reviews in Mathematical Physics
PubDate: Mon, 27 Apr 2015 03:01:57 GMT
DOI: 10.1142/S0129055X15500099

• Wegner estimate and localization for alloy-type models with sign-changing
exponentially decaying single-site potentials
• Authors: Karsten Leonhardt, Norbert Peyerimhoff, Martin Tautenhahn, Ivan Veselić
Abstract: Reviews in Mathematical Physics, Ahead of Print.
We study Schrödinger operators on L2(ℝd) and ℓ2(ℤd) with a random potential of alloy-type. The single-site potential is assumed to be exponentially decaying but not necessarily of fixed sign. In the continuum setting, we require a generalized step-function shape. Wegner estimates are bounds on the average number of eigenvalues in an energy interval of finite box restrictions of these types of operators. In the described situation, a Wegner estimate, which is polynomial in the volume of the box and linear in the size of the energy interval, holds. We apply the established Wegner estimate as an ingredient for a localization proof via multiscale analysis.
Citation: Reviews in Mathematical Physics
PubDate: Mon, 20 Apr 2015 07:09:38 GMT
DOI: 10.1142/S0129055X15500075

• High-velocity estimates for Schrödinger operators in two dimensions:
Long-range magnetic potentials and time-dependent inverse scattering
• Authors: Miguel Ballesteros, Ricardo Weder
Abstract: Reviews in Mathematical Physics, Ahead of Print.
We introduce a general class of long-range magnetic potentials and derive high velocity limits for the corresponding scattering operators in quantum mechanics, in the case of two dimensions. We analyze the high velocity limits that we obtain in the presence of an obstacle and we uniquely reconstruct from them the electric potential and the magnetic field outside the obstacle, that are accessible to the particles. We additionally reconstruct the inaccessible fluxes (magnetic fluxes produced by fields inside the obstacle) modulo 2π, which give a proof of the Aharonov–Bohm effect. For every magnetic potential A in our class, we prove that its behavior at infinity ($A_{\infty}(\hat{{\bf v}}), \hat{{\bf v}} \in {\mathbb S}^1$) can be characterized in a natural way; we call it the long-range part of the magnetic potential. Under very general assumptions, we prove that $A_{\infty}(\hat{{\bf v}}) + A_{\infty}(-\hat{{\bf v}})$ can be uniquely reconstructed for every $\hat{{\bf v}} \in {\mathbb S}^{1}$. We characterize properties of the support of the magnetic field outside the obstacle that permit us to uniquely reconstruct $A_{\infty}(\hat{{\bf v}})$ either for all $\hat{{\bf v}} \in {\mathbb S}^{1}$ or for $\hat{{\bf v}}$ in a subset of ð•Š1. We also give a wide class of magnetic fields outside the obstacle allowing us to uniquely reconstruct the total magnetic flux (and $A_{\infty}(\hat{{\bf v}})$ for all $\hat{{\bf v}} \in {\mathbb S}^{1}$). This is relevant because, as it is well-known, in general the scattering operator (even if is known for all velocities or energies) does not define uniquely the total magnetic flux (and $A_{\infty}(\hat{{\bf v}})$). We analyze additionally injectivity (i.e. uniqueness without giving a method for reconstruction) of the high velocity limits of the scattering operator with respect to $A_{\infty}(\hat{{\bf v}})$. Assuming that the magnetic field outside the obstacle is not identically zero, we provide a class of magnetic potentials for which injectivity is valid.
Citation: Reviews in Mathematical Physics
PubDate: Wed, 25 Mar 2015 03:12:09 GMT
DOI: 10.1142/S0129055X15500063

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