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Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules

Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules - Memoirs of the American Mathematical Society

Paperback (30 Jun 2009)

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Publisher's Synopsis

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.

Book information

ISBN: 9780821842966
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 515.7242
DEWEY edition: 22
Language: English
Number of pages: 82
Weight: 163g
Height: 254mm
Width: 177mm
Spine width: 6mm