Operator Separation Of Variables For Adiabatic Problems In Quantum And Wave Mechanics

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dc.creatorBelov, V. V.
dc.creatorDobrokhotov, S. Yu.
dc.creatorTudorovskiy, T. Ya.
dc.date2005-03-15
dc.date.accessioned2026-07-07T04:31:57Z
dc.date.available2026-07-07T04:31:57Z
dc.descriptionWe study linear problems of mathematical physics in which the adiabatic approximation is used in the wide sense. Using the idea that all these problems can be treated as problems with operator-valued symbol, we propose a general regular scheme of adiabatic approximation based on operator methods. This scheme is a generalization of the Born-Oppenheimer and Maslov methods, the Peierls substitution, etc. The approach proposed in this paper allows one to obtain "effective" reduced equations for a wide class of states inside terms (i.e., inside modes, subregions of dimensional quantization, etc.) with the possible degeneration taken into account.
dc.description57 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0503041
dc.identifierhttp://arxiv.org/abs/math-ph/0503041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58012
dc.subjectMathematical Physics
dc.subject41A60; 41A63
dc.titleOperator Separation Of Variables For Adiabatic Problems In Quantum And Wave Mechanics
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