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Classical approximations to Gibbs states

Published online by Cambridge University Press:  24 October 2008

E. B. Davies
E. B. Davies
Affiliation:
Mathematical Institute, Oxford
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Abstract

We obtain two approximate representations of a one-particle Gibbs state, both of which become asymptotically exact in trace norm as m → ∞. The second representation is an integral of pure coherent states over phase space, and can therefore be regarded as a classical approximation to the Gibbs state. We also obtain a version of the second representation applicable to the microcanonical ensemble.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 521 - 527
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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