Quadratic Quantum Hamiltonians revisited

Simple item page
dc.creatorCombescure, Monique
dc.creatorRobert, Didier
dc.date2005-09-13
dc.date.accessioned2026-07-07T04:32:20Z
dc.date.available2026-07-07T04:32:20Z
dc.descriptionTime dependent quadratic Hamiltonians are well known as well in classical mechanics and in quantum mechanics. In particular for them the correspondance between classical and quantum mechanics is exact. But explicit formulas are non trivial (like the Mehler formula). Moreover, a good knowlege of quadratic Hamiltonians is very useful in the study of more general quantum Hamiltonians and associated Schrödinger equations in the semiclassical regime. Our goal here is to give our own presentation of this important subject. We put emphasis on computations with Gaussian coherent states. Our main motivation to do that is application concerning revivals and Loschmidt echo.
dc.identifierhttps://arxiv.org/abs/math-ph/0509027
dc.identifierhttp://arxiv.org/abs/math-ph/0509027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58155
dc.subjectMathematical Physics
dc.titleQuadratic Quantum Hamiltonians revisited
dc.typetext

Files

Collections

arXiv