Evaluation of coherent-state path integrals in statistical mechanics by matrix multiplication

Simple item page
dc.contributor.authorStolze, Joachim
dc.contributor.authorBurghardt, Bernd
dc.contributor.authorEicke, Joachim
dc.date.accessioned2008-06-06T08:42:49Z
dc.date.available2008-06-06T08:42:49Z
dc.date.issued1998-01-22
dc.description.abstractThe numerical evaluation of coherent-state path-integral representations for partition functions and other quantities in equilibrium quantum statistical mechanics is discussed. Several coherent-state path-integral schemes are introduced, which differ from each other by the order of approximation and by the operator ordering employed in the high-temperature approximation of the density operator. Simple one-dimensional systems are used to test these schemes. For the harmonic oscillator, finite-dimensional approximations to the coherent-state path integral are calculated analytically and compared to each other and to the real-space path integral. For anharmonic systems, integrations must be approximated by quadrature formulas. This leads to a matrix multiplication scheme which is tested for the double-well potential. The results obtained are accurate from zero temperature way up into the high-temperature regime where quantum effects become negligible. This is a significant advantage over traditional real-space path integral schemes which break down at low temperatures.en
dc.identifier.citationBurghardt, Bernd; Eicke, Joachim; Stolze, Joachim: In: Evaluation of coherent-state path integrals in statistical mechanics by matrix multiplication. In: Journal of Chemical Physics Nr. 4, Jg. 108(1998), S. 1562-1569, doi: 10.1063/1.475527.de
dc.identifier.doi10.1063/1.475527
dc.identifier.urihttp://hdl.handle.net/2003/25445
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-2469
dc.identifier.urlhttp://dx.doi.org/ 10.1063/1.475527
dc.language.isoende
dc.publisherAmerican Institute of Physicsen
dc.rights©1998 American Institute of Physics.en
dc.subject.ddc530
dc.titleEvaluation of coherent-state path integrals in statistical mechanics by matrix multiplicationen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsrestricted

Files

License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.11 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Stolze, Joachim Prof. Dr.