Upon the utility of spherical harmonic expansions in the evaluation of cluster integrals
dc.contributor.author | Phillies, George D. J. | en_US |
dc.date.accessioned | 2006-09-11T15:43:20Z | |
dc.date.available | 2006-09-11T15:43:20Z | |
dc.date.issued | 1982-08 | en_US |
dc.identifier.citation | Phillies, George D. J.; (1982). "Upon the utility of spherical harmonic expansions in the evaluation of cluster integrals." Journal of Statistical Physics 28(4): 673-683. <http://hdl.handle.net/2027.42/45144> | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45144 | |
dc.description.abstract | A novel procedure for the analytic evaluation of cluster integrals is given. By means of a result of Silverstone and Moats which transforms the spherical harmonic expansion of a function around a given point into a new spherical harmonic expansion around a displaced point, a 3 N -dimensional cluster integral for N point particles ( N > 2) may be reduced to 2N+1 trivial integrals and N− 1 interesting integrals, an improvement over the usual reduction to six trivial integrals and 3N −6 nontrivial integrals. For hard spheres, the N −1 integrals involve only a series of simple polynomials taken between linear algebraic bounds. | en_US |
dc.format.extent | 545206 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Virial Coefficients | en_US |
dc.subject.other | Cluster Integrals | en_US |
dc.subject.other | Physical Chemistry | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Spherical Harmonics | en_US |
dc.subject.other | Hard Spheres | en_US |
dc.title | Upon the utility of spherical harmonic expansions in the evaluation of cluster integrals | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemistry, The University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45144/1/10955_2005_Article_BF01011875.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01011875 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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