Partition functions in statistical mechanics, symmetric functions, and group 
representations

Balantekin, A. B.

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Partition functions in statistical mechanics, symmetric functions, and group representations

Balantekin, A. B. (2001). Partition functions in statistical mechanics, symmetric functions, and group representations. Physical Review E, 6406(6): 066105.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0011-853C-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0011-853D-1

Genre: Journal Article

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Creators:
Balantekin, A. B.¹, Author

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1Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society, ou_907547

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Abstract: Partition functions for noninteracting particles are known to be symmetric functions. It is shown that powerful group- theoretical techniques can be used not only to derive these relationships, but also to significantly simplify calculation of the partition functions for particles that carry internal quantum numbers. The partition function is shown to be a sum of one or more group characters. The utility of character expansions in calculating the partition functions is explored. Several examples are given to illustrate these techniques.

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Language(s): eng - English

Dates: Date issued: 2001-12

Publication Status: Issued

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Rev. Type: Peer

Identifiers: eDoc: 27714

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Title: Physical Review E

Alternative Title : Phys. Rev. E

Source Genre: Journal

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Pages: - Volume / Issue: 6406 (6) Sequence Number: 066105 Start / End Page: - Identifier: -