Partition functions and symmetric polynomials
DC Element | Wert | Sprache |
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dc.contributor.author | Schmidt, HJ | |
dc.contributor.author | Schnack, J | |
dc.date.accessioned | 2021-12-23T16:00:15Z | - |
dc.date.available | 2021-12-23T16:00:15Z | - |
dc.date.issued | 2002 | |
dc.identifier.issn | 00029505 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/4304 | - |
dc.description.abstract | We find a close correspondence between the partition functions of ideal quantum gases and certain symmetric polynomials. From this correspondence, it can be shown that a number of thermodynamic identities that have recently been considered in the literature are essentially of combinatorial origin and have been known for a long time as theorems on symmetric polynomials. For example, a recurrence relation for partition functions in the textbook by P. Landsberg is Newton's identity in disguised form. Conversely, a theorem on symmetric polynomials translates into a new and unexpected relation between fermion and boson partition functions, which can be used to express the former by means of the latter and vice versa. (C) 2002 American Association of Physics Teachers. | |
dc.language.iso | en | |
dc.publisher | AMER ASSOC PHYSICS TEACHERS AMER INST PHYSICS | |
dc.relation.ispartof | AMERICAN JOURNAL OF PHYSICS | |
dc.subject | BOSE-EINSTEIN CONDENSATION | |
dc.subject | DIMENSIONS | |
dc.subject | Education & Educational Research | |
dc.subject | Education, Scientific Disciplines | |
dc.subject | FLUCTUATIONS | |
dc.subject | GASES | |
dc.subject | PARTICLE NUMBER | |
dc.subject | Physics | |
dc.subject | Physics, Multidisciplinary | |
dc.subject | SYSTEMS | |
dc.title | Partition functions and symmetric polynomials | |
dc.type | journal article | |
dc.identifier.doi | 10.1119/1.1412643 | |
dc.identifier.isi | ISI:000172959200010 | |
dc.description.volume | 70 | |
dc.description.issue | 1 | |
dc.description.startpage | 53 | |
dc.description.endpage | 57 | |
dc.contributor.orcid | 0000-0003-0702-2723 | |
dc.contributor.researcherid | A-4079-2008 | |
dc.publisher.place | STE 1 NO 1, 2 HUNTINGTON QUADRANGLE, MELVILLE, NY 11747-4502 USA | |
dcterms.isPartOf.abbreviation | Am. J. Phys. | |
dcterms.oaStatus | Green Submitted | |
crisitem.author.dept | FB 04 - Physik | - |
crisitem.author.deptid | fb04 | - |
crisitem.author.orcid | 0000-0003-0702-2723 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | ScJu137 | - |
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geprüft am 02.06.2024