Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians
Functional Analysis
2014-06-30 v1 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1003.3149,
title = {Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians},
author = {Marius Mantoiu},
journal= {arXiv preprint arXiv:1003.3149},
year = {2014}
}
Comments
20 pages