Adiabatic limit interference effects for two energy level transition amplitudes and Nikitin - Umanskii formula studied by fundamental solution method

dc.creatorGiller, Stefan
dc.date2002-07-18
dc.date2003-04-04
dc.date.accessioned2026-07-07T06:04:37Z
dc.date.available2026-07-07T06:04:37Z
dc.descriptionA method of fundamental solutions has been used to study adiabatic transition amplitudes in two energy level systems for a class of Hamiltonians allowing some simplifications of Stokes graphs corresponding to such transitions. It has been shown that for simplest such cases the amplitudes take the Nikitin - Umanskii form but for more complicated ones they are formed by a sum of terms strictly related to a structure of Stokes graph corresponding to such cases. This paper corrects our previous one [Phys. Rev. A, 63 052101 (2001)] and its results are in a full agreement with the ones of Joye, Mileti and Pfister [Phys. Rev. A, 44 4280 (1991)].
dc.description21 pages, 7 eps figures. Serious changes as a result of fatal errors done in a paper of S. Giller and C. Gonera published in Phys. Rev. A, 63 052102 (2001) (the first reference of the present paper)
dc.identifierhttps://arxiv.org/abs/quant-ph/0207107
dc.identifierhttp://arxiv.org/abs/quant-ph/0207107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90360
dc.subjectQuantum Physics
dc.titleAdiabatic limit interference effects for two energy level transition amplitudes and Nikitin - Umanskii formula studied by fundamental solution method
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