M. Dimassi, Mouez Dimassi, J. Sjostrand

Spectral Asymptotics in the Semi-Classical Limit

• Broschiertes Buch

Produktbeschreibung

This book presents the basic methods and applications in semiclassical approximation in the light of developments.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 240
• Erscheinungstermin: 24. Januar 2007
• Englisch
• Abmessung: 229mm x 152mm x 14mm
• Gewicht: 396g
• ISBN-13: 9780521665445
• ISBN-10: 0521665442
• Artikelnr.: 21630910

Inhaltsangabe

Introduction
1. Local symplectic geometry
2. The WKB-method
3. The WKB-method for a potential minimum
4. Self-adjoint operators
5. The method of stationary phase
6. Tunnel effect and interaction matrix
7. h-pseudodifferential operators
8. Functional calculus for pseudodifferential operators
9. Trace class operators and applications of the functional calculus
10. More precise spectral asymptotics for non-critical Hamiltonians
11. Improvement when the periodic trajectories form a set of measure 0
12. A more general study of the trace
13. Spectral theory for perturbed periodic problems
14. Normal forms for some scalar pseudodifferential operators
15. Spectrum of operators with periodic bicharacteristics
References
Index
Index of notation.