A strong operator topology adiabatic theorem

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dc.creatorElgart, Alexander
dc.creatorSchenker, Jeffrey H.
dc.date2001-09-28
dc.date2002-02-26
dc.date.accessioned2026-07-07T06:22:20Z
dc.date.available2026-07-07T06:22:20Z
dc.descriptionWe prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation in the context of a system without an intrinsic time scale. For continuous functions of the unperturbed Hamiltonian the convergence is in norm while for a larger class functions, including the spectral projections associated to embedded eigenvalues, the convergence is in the strong operator topology.
dc.description15 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0110002
dc.identifierhttp://arxiv.org/abs/math-ph/0110002
dc.identifierRev. Math. Phys. 14 (2002), 569-584
dc.identifierdoi:10.1142/S0129055X02001247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95877
dc.subjectMathematical Physics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleA strong operator topology adiabatic theorem
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