Please use this identifier to cite or link to this item:
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
Other Identifiers:
Appears in Collections:Physics and Astronomy

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.