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Discrete basis representation of Ursell operators

TitleDiscrete basis representation of Ursell operators
Publication TypeJournal Article
Year of Publication1996
AuthorsWei, GW, Snider, RF
JournalPhysical Review E
Volume54
Pagination2414-2418
Date PublishedSep
Type of ArticleArticle
ISBN Number1063-651X
Keywords2ND VIRIAL-COEFFICIENT, MECHANICS
Abstract

The inverse Laplace transform of the two- and three-particle Ursell operators are shown to be related to scattering kernels. For a three-particle system the kernel is identical to Faddeev’s connected kernel. For well-behaved potentials, these kernels are compact with the consequence that they have a discrete spectrum and can thus be expressed in terms of discrete spectral representations. This leads to a method fur the direct computation of Ursell operators and the corresponding cluster integrals.

URL<Go to ISI>://A1996VK26500036