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Quantum corrections for thermodynamics

кВАНтОВыЕ пОпРАВкИ Д ль тЕРМОДИНАМИкИ

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

We generalize an expression for the trace of an operator due to Nishijima and derive, without the use of tedious mathematics, the Kirkwood expansion for the quantum-mechanical partition function. This expansion is applied to three simple systems and its use for more complex systems is thereby made clear.

Riassunto

Si generalizza un’espressione per la traccia di un operatore dovuta a Nishijima e si deduce, senza l’uso di tediosa matematica, lo sviluppo di Kirkwood per la funzione di partizione quantomeccanica. Si applica questo sviluppo a tre semplici sistemi o si chiarisce quindi il suo uso per sistemi più complessi.

РЕжУМЕ

Мы ОБОБЩАЕМ ВыРАжЕНИ Е Дль слЕДА ОпЕРАтОРА, пРЕДлОжЕННОЕ НИшИДж ИМА, И ВыВОДИМ, БЕж ИспО льжОВАНИь гРОМОжДкО И МАтЕМАтИкИ, РАжлОжЕ НИЕ гРОМОжДкОИ МАтЕМАтИ кИ, РАжлОжЕНИЕ Дль кВАНтОВОМЕхАНИЧ ЕскОИ ФУНкцИИ РАспРЕ ДЕлЕНИь. ЁтО РАжлОжЕНИЕ пРИМЕНьЕ тсь к тРЕМ пРОстыМ сИс тЕМАМ. стАНОВИтсь ьсН ыМ ИспОльжОВАНИЕ ЁтО гО РАжлОжЕНИь стАНОВИтсь ьсНыМ Исп ОльжОВАНИЕ ЁтОгО РАж лОжЕНИь Дль БОлЕЕ слОжНых сИс тЕМ.

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Author notes

  1. C. Harper (Participating Guest)

    Present address: Department of Physics, California State University, 94542, Hayward, Hayward, Cal.

Authors and Affiliations

  1. Lawrence Berkeley Laboratory, University of California, 94720, Berkeley, Cal.

    C. Harper (Participating Guest)

Authors
  1. C. Harper
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Additional information

This work was supported in part by a Grant from the Associated Western Universities, Inc.

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Harper, C. Quantum corrections for thermodynamics. Nuov Cim B 45, 45–52 (1978). https://doi.org/10.1007/BF02904072

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  • DOI: https://doi.org/10.1007/BF02904072

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