Limit Gibbs state for some classes of one-dimensional systems of quantum statistical mechanics

Yuri M. Suhov

doi:10.1007/BF01248667

Limit Gibbs state for some classes of one-dimensional systems of quantum statistical mechanics

Yuri M. Suhov

Mathematics

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

8 Scopus citations

Abstract

We prove the existence of the limit Gibbs state for one-dimensional continuous quantum fermion systems with non-hard-core, non-negative, rapidly decreasing pair interaction potentials. Existence of the limit Gibbs state is also established for one-dimensional continuous quantum boson systems with pair interaction potentials as above which, in addition, increase sufficiently fast at small distances.

Original language	English (US)
Pages (from-to)	119-136
Number of pages	18
Journal	Communications In Mathematical Physics
Volume	62
Issue number	2
DOIs	https://doi.org/10.1007/BF01248667
State	Published - Jun 1978

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01248667

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title = "Limit Gibbs state for some classes of one-dimensional systems of quantum statistical mechanics",

abstract = "We prove the existence of the limit Gibbs state for one-dimensional continuous quantum fermion systems with non-hard-core, non-negative, rapidly decreasing pair interaction potentials. Existence of the limit Gibbs state is also established for one-dimensional continuous quantum boson systems with pair interaction potentials as above which, in addition, increase sufficiently fast at small distances.",

author = "Suhov, {Yuri M.}",

year = "1978",

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journal = "Communications In Mathematical Physics",

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AU - Suhov, Yuri M.

PY - 1978/6

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N2 - We prove the existence of the limit Gibbs state for one-dimensional continuous quantum fermion systems with non-hard-core, non-negative, rapidly decreasing pair interaction potentials. Existence of the limit Gibbs state is also established for one-dimensional continuous quantum boson systems with pair interaction potentials as above which, in addition, increase sufficiently fast at small distances.

AB - We prove the existence of the limit Gibbs state for one-dimensional continuous quantum fermion systems with non-hard-core, non-negative, rapidly decreasing pair interaction potentials. Existence of the limit Gibbs state is also established for one-dimensional continuous quantum boson systems with pair interaction potentials as above which, in addition, increase sufficiently fast at small distances.

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EP - 136

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 2

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Limit Gibbs state for some classes of one-dimensional systems of quantum statistical mechanics

Abstract

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