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.
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.
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