Autour de l'approximation semi-classique / Didier Robert
Type de document : MonographieCollection : Progress in mathematics, 68Langue : français.Pays: Etats Unis.Éditeur : Boston : Birkhauser, 1987Description : 1 vol. (IX-328 p.) ; 24 cmISBN: 0817633545.ISSN: 0743-1643.Bibliographie : Bibliography: p. [317]-328.Sujet MSC : 81Q10, General mathematical topics and methods in quantum theory, Selfadjoint operator theory, including spectral analysis35P20, Spectral theory and eigenvalue problems for PDEs, Asymptotic distributions of eigenvalues in context of PDEs
35J10, PDEs - Elliptic equations and elliptic systems, Schrödinger operator, Schrödinger equation
58J37, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Perturbations of PDEs on manifolds; asymptotics
58J40, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Pseudodifferential and Fourier integral operators on manifolds
81Q15, General mathematical topics and methods in quantum theory, Perturbation theories for operators and differential equationsEn-ligne : sur Numir | Zentralblatt | MathSciNet
Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie | CMI Salle 2 | 81 ROB (Browse shelf(Opens below)) | Available | 10283-01 |
This book is devoted to mathematical investigation of the quasi-classical limit of quantum mechanics. In Chapter I a short introduction into the principles of non-relativistic quantum theory is presented. In Chapter II "h-admissible operators" calculus of scalar admissible h-pseudo- differential operators and of Fourier integral operators are developed. In Chapter III "Functional calculus for h-admissible operators" a class of selfadjoint admissible h-pseudo-differential operators is introduced and it is proved that admissible functions of operators of this class are admissible h-pseudo-differential operators too; in particular resolvents and complex powers of operators are considered. Appendix 1 "Essentially selfadjoint operators" and Appendix 2 "Essential spectrum" contain certain classical functional-analytic results. (Zentralblatt)
Bibliography: p. [317]-328
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