Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians

Details Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians

2010-03-16

arxiv.org/abs/1003.3149v1

Mathematics

Functional Analysis

20 pages

Scientific paper

We use the functorial properties of Rieffel's pseudodifferential calculus to
study families of operators associated to topological dynamical systems acted
by a symplectic space. Information about the spectra and the essential spectra
are extracted from the quasi-orbit structure of the dynamical system. The
semi-classical behavior of the families of spectra is also studied.

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