Tunneling catastrophes of the partition function

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dc.creatorde Carvalho, C. A. A.
dc.creatorCavalcanti, R. M.
dc.date1998-03-18
dc.date.accessioned2026-07-07T06:14:52Z
dc.date.available2026-07-07T06:14:52Z
dc.descriptionWe use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the potential. For high temperatures, the semiclassical expression is dominated by single closed paths. As we lower the temperature, new closed paths may appear, including tunneling paths. The transition from single to multiple-path regime corresponds to well-defined catastrophes. Tunneling sets in whenever they occur. Our formula fully accounts for this feature.
dc.description5 figures, revtex file
dc.identifierhttps://arxiv.org/abs/quant-ph/9803049
dc.identifierhttp://arxiv.org/abs/quant-ph/9803049
dc.identifierBraz.J.Phys. 27 (1997) 373-378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93629
dc.subjectQuantum Physics
dc.titleTunneling catastrophes of the partition function
dc.typetext

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