Tunneling Catastrophes of the Partition Function

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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