Validity of the Adiabatic Approximation

Simple item page
dc.creatorMacKenzie, R.
dc.creatorMorin-Duchesne, A.
dc.creatorPaquette, H.
dc.creatorPinel, J.
dc.date2007-06-06
dc.date.accessioned2026-07-07T08:38:59Z
dc.date.available2026-07-07T08:38:59Z
dc.descriptionWe analyze the validity of the adiabatic approximation, and in particular the reliability of what has been called the "standard criterion" for validity of this approximation. Recently, this criterion has been found to be insufficient. We will argue that the criterion is sufficient only when it agrees with the intuitive notion of slowness of evolution of the Hamiltonian. However, it can be insufficient in cases where the Hamiltonian varies rapidly but only by a small amount. We also emphasize the distinction between the adiabatic {\em theorem} and the adiabatic {\em approximation}, two quite different although closely related ideas.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0706.0885
dc.identifierhttp://arxiv.org/abs/0706.0885
dc.identifierPhys. Rev. A 76, 044102 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.044102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140928
dc.subjectQuantum Physics
dc.titleValidity of the Adiabatic Approximation
dc.typetext

Files

Collections

arXiv