Operator formalism in statistical mechanics

Elliott Lieb

doi:10.1063/1.1703719

Operator formalism in statistical mechanics

Elliott Lieb

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the configuration partition function, Z_N, of a classical imperfect gas of particles having rigid cores. The rigid cores result in a geometric simplification which makes it possible to find a finite recursion relation between Z_N and Z_N-1. From this, it is possible to express Z_N in terms of the vacuum expectation value of a finite Boson operator raised to the Nth power, N being the number of particles.

Original language	English (US)
Pages (from-to)	341-343
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	2
Issue number	3
DOIs	https://doi.org/10.1063/1.1703719
State	Published - 1961

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1703719

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abstract = "We consider the configuration partition function, ZN, of a classical imperfect gas of particles having rigid cores. The rigid cores result in a geometric simplification which makes it possible to find a finite recursion relation between ZN and ZN-1. From this, it is possible to express ZN in terms of the vacuum expectation value of a finite Boson operator raised to the Nth power, N being the number of particles.",

author = "Elliott Lieb",

year = "1961",

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AB - We consider the configuration partition function, ZN, of a classical imperfect gas of particles having rigid cores. The rigid cores result in a geometric simplification which makes it possible to find a finite recursion relation between ZN and ZN-1. From this, it is possible to express ZN in terms of the vacuum expectation value of a finite Boson operator raised to the Nth power, N being the number of particles.

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U2 - 10.1063/1.1703719

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Operator formalism in statistical mechanics

Abstract

All Science Journal Classification (ASJC) codes

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