ENGLISH

Twisted pseudodifferential calculus and application to the quantum evolution of molecules

By Andre Martinez , Vania Sordoni

Book information

Publisher
Amer Mathematical Society
Year
2009
ISBN
082184296X, 978-0-8218-4296-6
Language
english
Format
PDF
Filesize
2 MB (1845220 bytes)
Series
Memoirs of the American Mathematical Society 0936
Pages
96\96
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

The authors construct an abstract pseudodifferential calculus with operator-valued symbol, suitable for the treatment of Coulomb-type interactions, and they apply it to the study of the quantum evolution of molecules in the Born-Oppenheimer approximation, in the case of the electronic Hamiltonian admitting a local gap in its spectrum. In particular, they show that the molecular evolution can be reduced to the one of a system of smooth semiclassical operators, the symbol of which can be computed explicitly. In addition, they study the propagation of certain wave packets up to long time values of Ehrenfest order

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