Space-adiabatic Decoupling to All Orders

dc.creatorPanati, Gianluca
dc.creatorSpohn, Herbert
dc.creatorTeufel, Stefan
dc.date2002-01-28
dc.date.accessioned2026-07-07T06:03:35Z
dc.date.available2026-07-07T06:03:35Z
dc.descriptionA systematic perturbation scheme is developed for approximate solutions to the time-dependent Schroedinger equation with a space-adiabatic Hamiltonian. For a particular isolated energy band, the basic approach is to separate kinematics from dynamics. The kinematics is defined through a subspace of the full Hilbert space for which transitions to other band subspaces are suppressed to all orders and the dynamics operates in that subspace in terms of an effective intraband Hamiltonian. As novel applications we discuss the Born-Oppenheimer theory to second order and derive the nonperturbative definition of the g-factor of the electron within nonrelativistic quantum electrodynamics.
dc.description4 pages, RevTex
dc.identifierhttps://arxiv.org/abs/quant-ph/0201123
dc.identifierhttp://arxiv.org/abs/quant-ph/0201123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89998
dc.subjectQuantum Physics
dc.titleSpace-adiabatic Decoupling to All Orders
dc.typetext

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