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...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2010. |
| Colecção: | Lecture Notes in Mathematics
1992 |
| Assuntos: | |
| Acesso em linha: | 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 |
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| 100 | 1 | |a Parmeggiani, Alberto, |d 1963-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Spectral Theory of Non-Commutative Harmonic Oscillators : |b an Introduction |c Alberto Parmeggiani. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 1992 |x 1617-9692 | |
| 500 | |a L'impression du document génère 259 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of classical invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Oscillateurs harmoniques | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Physique mathématique | ||
| 776 | 0 | |0 14496435X |t Spectral theory of non-commutative harmonic oscillators |o an introduction |f Alberto Parmeggiani |c Heidelberg |n Springer |d 2010 |p 1 vol. (XI-254 p.) |s Lecture notes in mathematics |z 978-3-642-11921-7 | |
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