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Tunneling Catastrophes of the Partition Function

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dc.creator Carvalho C. A. A. de
dc.creator Cavalcanti R. M.
dc.date 1997
dc.date.accessioned 2013-05-29T22:01:40Z
dc.date.available 2013-05-29T22:01:40Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000300006
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1997&volume=27&issue=3&spage=
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/2237
dc.description We 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.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.title Tunneling Catastrophes of the Partition Function

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