Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules
Download or Read eBook Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules PDF written by Andr Martinez and published by American Mathematical Soc.. This book was released on 2009-06-05 with total page 96 pages. Available in PDF, EPUB and Kindle.
| Author | : Andr Martinez |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 96 |
| Release | : 2009-06-05 |
| ISBN-10 | : 9780821842966 |
| ISBN-13 | : 082184296X |
| Rating | : 4/5 (66 Downloads) |
Book Synopsis Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules by : Andr Martinez
Book excerpt: 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.
