Spectral Theory of Non-Commutative Harmonic Oscillators : an Introduction
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...
Gardado en:
| Autor Principal: | |
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| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2010. |
| Series: | Lecture Notes in Mathematics
1992 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 259 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral theory of non-commutative harmonic oscillators, an introduction, Alberto Parmeggiani, Heidelberg, Springer, 2010, 1 vol. (XI-254 p.), Lecture notes in mathematics, 978-3-642-11921-7 |
Table des matières:
- The Harmonic Oscillator The Weyl Hörmander Calculus The Spectral Counting Function N(?) and the Behavior of the Eigenvalues: Part 1 The Heat-Semigroup, Functional Calculus and Kernels The Spectral Counting Function N(?) and the Behavior of the Eigenvalues: Part 2 The Spectral Zeta Function Some Properties of the Eigenvalues of Some Tools from the Semiclassical Calculus On Operators Induced by General Finite-Rank Orthogonal Projections Energy-Levels, Dynamics, and the Maslov Index Localization and Multiplicity of a Self-Adjoint Elliptic 2.2 Positive NCHO in