Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules

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dc.creatorMartinez, Andre'
dc.creatorSordoni, Vania
dc.date2008-09-22
dc.date.accessioned2026-07-07T10:04:23Z
dc.date.available2026-07-07T10:04:23Z
dc.descriptionWe construct an abstract pseudodifferential calculus with operator-valued symbol, adapted to the treatment of Coulomb-type interactions, and we apply it to study the quantum evolution of molecules in the Born-Oppenheimer approximation, in the case where the electronic Hamiltonian admits a local gap in its spectrum. In particular, we 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, we study the propagation of certain wave packets up to long time values of Ehrenfest order. (This work has been accepted for publication as part of the Memoirs of the American Mathematical Society and will be published in a future volume.)
dc.description73 pages
dc.identifierhttps://arxiv.org/abs/0809.3663
dc.identifierhttp://arxiv.org/abs/0809.3663
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169657
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q40, 81Q20
dc.titleTwisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules
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