Thin layer quantization in higher dimensions and codimensions

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dc.creatorGolovnev, Alexey V.
dc.date2005-08-15
dc.date2006-04-21
dc.date.accessioned2026-07-07T06:43:40Z
dc.date.available2026-07-07T06:43:40Z
dc.descriptionWe consider the thin layer quantization with use of only the most elementary notions of differential geometry. We consider this method in higher dimensions and get an explicit formula for quantum potential. For codimension 1 surfaces the quantum potential is presented in terms of principal curvatures, and equivalence with Prokhorov quantization method is proved. It is shown that, in contrast with original da Costa method, Prokhorov quantization can be generalized directly to higher codimensions.
dc.description14 pages; minor clarifications
dc.identifierhttps://arxiv.org/abs/quant-ph/0508111
dc.identifierhttp://arxiv.org/abs/quant-ph/0508111
dc.identifierJournal of Mathematical Physics, Vol. 47, No. 8, 082105 (2006)
dc.identifierdoi:10.1063/1.2213787
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102498
dc.subjectQuantum Physics
dc.titleThin layer quantization in higher dimensions and codimensions
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