Spectral asymptotics in the semi-classical limit /

Semiclassical approximation addresses the important relationship between quantum and classical mechanics. There has been a very strong development in the mathematical theory, mainly thanks to methods of microlocal analysis. This book develops the basic methods, including the WKB-method, stationary p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dimassi, Mouez
Otros Autores: Sjöstrand, J. (Johannes)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, U.K. ; New York : Cambridge University Press, 1999.
Colección:London Mathematical Society lecture note series ; 268.
Temas:
Microlocal analysis.
Quantum theory.
Approximation theory.
Spectral theory (Mathematics)
Mathematical physics.
Quantum Theory
Analyse microlocale.
Théorie quantique.
Théorie de l'approximation.
Spectre (Mathématiques)
Physique mathématique.
SCIENCE > Physics > Mathematical & Computational.
Quasiklassische Näherung
Analyse (wiskunde)
Operadores microlocais.
Approximation, Théorie de l'.
Physique mathématique > Théorie asymptotique.
Théorie spectrale (Mathématiques)
Valeurs propres.
Mécanique.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Local symplectic geometry
  • The WKB-method
  • The WKB-method for a potential minimum
  • Self-adjoint operators
  • The method of stationary phase
  • Tunnel effect and interaction matrix
  • @h-pseudodifferential operators
  • Functional calculus for pseudodifferential operators
  • Trace class operators and applications of the functional calculus
  • More precise spectral asymptotics for non-critical Hamiltonians
  • Improvement when the periodic trajectories form a set of measure 0
  • A more general study of the trace
  • Spectral theory for perturbed periodic problems
  • Normal forms for some scalar pseudodifferential operators
  • Spectrum of operators with periodic bicharacteristics.

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