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http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/2237
Title: | Tunneling Catastrophes of the Partition Function |
Issue Date: | 30-May-2013 |
Publisher: | Sociedade Brasileira de Física |
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 |
URI: | http://koha.mediu.edu.my:8181/jspui/handle/123456789/2237 |
Other Identifiers: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000300006 http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1997&volume=27&issue=3&spage= |
Appears in Collections: | Physics and Astronomy |
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