Spectral Densities and Partition Functions of Modular Quantum ystems as Derived from a Central Limit Theorem

Michael Hartmann; Günter Mahler; Ortwin Hess

doi:10.1007/s10955-004-4298-5

Spectral Densities and Partition Functions of Modular Quantum ystems as Derived from a Central Limit Theorem

Michael Hartmann
, Günter Mahler
, Ortwin Hess

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

23 Citations (Scopus)

Abstract

Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite number of subsystems. Even for only small numbers of subsystems we find good accordance with some known, exact results.

Original language	English
Pages (from-to)	1139-1151
Number of pages	13
Journal	Journal of Statistical Physics
Volume	119
Issue number	5-6
DOIs	https://doi.org/10.1007/s10955-004-4298-5
Publication status	Published - Jun 2005

Keywords

Partition sums
Quantum central limit theorem
Quantum statistical mechanics
Spectral densities

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-004-4298-5

Cite this

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abstract = "Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite number of subsystems. Even for only small numbers of subsystems we find good accordance with some known, exact results.",

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AU - Hess, Ortwin

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AB - Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite number of subsystems. Even for only small numbers of subsystems we find good accordance with some known, exact results.

KW - Partition sums

KW - Quantum central limit theorem

KW - Quantum statistical mechanics

KW - Spectral densities

UR - https://www.scopus.com/pages/publications/23744457125

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JF - Journal of Statistical Physics

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ER -

Spectral Densities and Partition Functions of Modular Quantum ystems as Derived from a Central Limit Theorem

Abstract

Keywords

ASJC Scopus subject areas

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