Marius Mantoiu
Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians
(380K, pdf)

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.