Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules

Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules

by Andre Martinez, Vania Sordoni
     
 

ISBN-10: 082184296X

ISBN-13: 9780821842966

Pub. Date: 06/05/2009

Publisher: American Mathematical Society

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

Overview

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 explicitely. In addition, they study the propagation of certain wave packets up to long time values of Ehrenfest order.

Product Details

ISBN-13:
9780821842966
Publisher:
American Mathematical Society
Publication date:
06/05/2009
Series:
Memoirs of the American Mathematical Society Series, #200
Pages:
82
Product dimensions:
6.90(w) x 9.80(h) x 0.20(d)

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