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Equilibrium states of a Bose gas with repulsive interactions

Published online by Cambridge University Press:  17 February 2009

Ola Bratteli  and
Derek W. Robinson
Ola Bratteli
Affiliation:
Institute of Mathematics, NTH, Trondheim 7034 Norway
Derek W. Robinson
Affiliation:
School of Mathematics, University of New South Wales, Kensington NSW 2033
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Abstract

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We consider infinite volume limit Gibbs states of a nonrelativistic quantum Bose gas consisting of one species of spinless particles with positive interaction potentials. The finite volume reduced density matrices are dominated by the corresponding matrices for the noninteracting gas, and as a consequence all infinite volume limit states are regular, locally normal, and analytic on the appropriate CCR algebra. For sufficiently short range repulsive two-body interactions, the cyclic vector associated with the limit state is separating for the σ-weak closure of the algebra in the associated representation.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 2 , October 1980 , pp. 129 - 147
Copyright
Copyright © Australian Mathematical Society 1980

References

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