02971nam 2200661 450 991078885550332120170822144258.01-4704-0550-4(CKB)3360000000465120(EBL)3114174(SSID)ssj0000889281(PQKBManifestationID)11488399(PQKBTitleCode)TC0000889281(PQKBWorkID)10875182(PQKB)10344080(MiAaPQ)EBC3114174(RPAM)15642895(PPN)195418255(EXLCZ)99336000000046512020150416h20092009 uy 0engur|n|---|||||txtccrTwisted pseudodifferential calculus and application to the quantum evolution of molecules /André Martinez, Vania SordoniProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (96 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 200, Number 936"Volume 200, Number 936 (first of 6 numbers)."0-8218-4296-X Includes bibliographical references.""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Assumptions and Main Results""; ""Chapter 3. A Modified Operator""; ""Chapter 4. Twisted h-Admissible Operators""; ""Chapter 5. Twisted Partial Differential Operators""; ""Chapter 6. Construction of a Quasi-Invariant Subspace""; ""Chapter 7. Decomposition of the Evolution for the Modified Operator""; ""Chapter 8. Proof of Theorem 2.1""; ""Chapter 9. Proof of Corollary 2.6""; ""Chapter 10. Computing the Effective Hamiltonian""; ""Chapter 11. Propagation of Wave-Packets""; ""Chapter 12. Application to Polyatomic Molecules""""Appendix A. Smooth Pseudodifferential Calculus with Operator-Valued Symbol""""Appendix B. Propagation of the Support""; ""Appendix C. Two Technical Lemmas""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 200, Number 936.Pseudodifferential operatorsBorn-Oppenheimer approximationWave packetsEvolution equationsEvolution (Biology)Mathematical modelsQuantum theoryMathematicsPseudodifferential operators.Born-Oppenheimer approximation.Wave packets.Evolution equations.Evolution (Biology)Mathematical models.Quantum theoryMathematics.515/.7242Martinez André352371Sordoni VaniaMiAaPQMiAaPQMiAaPQBOOK9910788855503321Twisted pseudodifferential calculus and application to the quantum evolution of molecules3836169UNINA