Generalized thermal zeta-functions

We calculate the partition function of a harmonic oscillator with quasi-periodic boundary conditions using the zeta-function method. This work generalizes a previous one by Gibbons and contains the usual bosonic and fermionic oscillators as particular cases. We give an alternative prescription for t...

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Bibliographic Details
Published inPhysics letters. A Vol. 205; no. 4; pp. 255 - 260
Main Authors Boschi-Filho, H., Farina, C.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 18.09.1995
Subjects
05.30.−d
03.65.Db
03.65.−w
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Summary:We calculate the partition function of a harmonic oscillator with quasi-periodic boundary conditions using the zeta-function method. This work generalizes a previous one by Gibbons and contains the usual bosonic and fermionic oscillators as particular cases. We give an alternative prescription for the analytic extension of the generalized Epstein function involved in the calculation of the generalized thermal zeta-functions. We also conjecture on the relation of our calculation to anyonic systems.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(95)00583-O