10-51 Marius Mantoiu

Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians (380K, pdf) Mar 16, 10

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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.

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