Chapter 1. Introduction ......................................... 1
Chapter 2. Assumptions and Main Results ......................... 7
Chapter 3. A Modified Operator ................................. 13
Chapter 4. Twisted h-Admissible Operators ...................... 17
Chapter 5. Twisted Partial Differential Operators .............. 27
Chapter 6. Construction of a Quasi-Invariant Subspace .......... 33
Chapter 7. Decomposition of the Evolution for the Modified
Operator ............................................ 39
Chapter 8. Proof of Theorem 2.1 ................................ 45
Chapter 9. Proof of Corollary 2.6 .............................. 47
Chapter 10.Computing the Effective Hamiltonian ................. 51
Chapter 11.Propagation of Wave-Packets ......................... 59
Chapter 12.Application to Polyatomic Molecules ................. 65
Appendix A.Smooth Pseudodifferential Calculus with Operator-
Valued Symbol ....................................... 73
Appendix B.Propagation of the Support .......................... 75
Appendix C.Two Technical Lemmas ................................ 79
Appendix. Bibliography ......................................... 81
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