Is the Adiabatic Approximation Inconsistent?

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dc.creatorDuki, Solomon
dc.creatorMathur, H.
dc.creatorNarayan, Onuttom
dc.date2005-10-17
dc.date2006-07-28
dc.date.accessioned2026-07-07T06:48:44Z
dc.date.available2026-07-07T06:48:44Z
dc.descriptionMarzlin and Sanders \cite{marzlin} have shown rigorously that the adiabatic approximation can be very inaccurate when applied to a Hamiltonian $H(t)$ that generates the evolution $U^{\dagger} (t)$ even if it gives an excellent approximation to the evolution $U(t)$ generated by a dual Hamiltonian $h(t)$. We show that this is not inconsistent with the adiabatic theorem and find that in general even if $h(t)$ satisfies the conditions of the adiabatic theorem, $H(t)$ will likely violate those conditions.
dc.descriptionExpanded discussion of connection between Refs.[7] and [8] included
dc.identifierhttps://arxiv.org/abs/quant-ph/0510131
dc.identifierhttp://arxiv.org/abs/quant-ph/0510131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104126
dc.subjectQuantum Physics
dc.titleIs the Adiabatic Approximation Inconsistent?
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