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Journal Cover Reviews in Mathematical Physics
  [SJR: 0.985]   [H-I: 32]   [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]
  • A unified approach to infinite-dimensional integration
    • Authors: S. Albeverio, S. Mazzucchi
      Abstract: Reviews in Mathematical Physics, Volume 28, Issue 02, March 2016.
      An approach to infinite-dimensional integration which unifies the case of oscillatory integrals and the case of probabilistic type integrals is presented. It provides a truly infinite-dimensional construction of integrals as linear functionals, as much as possible independent of the underlying topological and measure theoretical structure. Various applications are given, including, next to Feynman path integrals, Schrödinger and diffusion equations, as well as higher order hyperbolic and parabolic equations.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-04-11T07:32:36Z
      DOI: 10.1142/S0129055X16500057
  • A non-commutative framework for topological insulators
    • Authors: C. Bourne, A. L. Carey, A. Rennie
      Abstract: Reviews in Mathematical Physics, Ahead of Print.
      We study topological insulators, regarded as physical systems giving rise to topological invariants determined by symmetries both linear and anti-linear. Our perspective is that of non-commutative index theory of operator algebras. In particular, we formulate the index problems using Kasparov theory, both complex and real. We show that the periodic table of topological insulators and superconductors can be realized as a real or complex index pairing of a Kasparov module capturing internal symmetries of the Hamiltonian with a spectral triple encoding the geometry of the sample’s (possibly non-commutative) Brillouin zone.
      Citation: Reviews in Mathematical Physics
      PubDate: 2016-04-04T06:33:29Z
      DOI: 10.1142/S0129055X16500045
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