Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction

• Main Author: Parmeggiani, Alberto (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1992
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Physics.; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.; Theoretical, Mathematical and Computational Physics.

This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic...