Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians

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.

20 pages

References in corpus (3)

• Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory
• On the continuity of spectra for families of magnetic pseudodifferential operators
• Magnetic pseudodifferential operators with coefficients in C*-algebras