ISSN:
1572-9613
Keywords:
Correlation inequalities
;
classical and quantum continuous systems
;
positive type potentials
;
stability
;
thermodynamic limit
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study quantum mechanical systems of particles with Bose or Fermi statistics interacting via two-body potentials of positive type in thermal equilibrium. We rewrite partition functions, reduced density matrices (RDMs), and correlation functions in terms of Wiener and Gaussian functional integrals (sine-Gordon transformation). This permits us, e.g., to apply correlation inequalities. Our main results include an analysis of stability versus instability in the grand canonical ensemble and, for charge-conjugation-invariant systems, upper and lower bounds on RDMs, the existence of the thermodynamic limit of pressure, RDMs and correlation functions, an inequality comparing correlations with Fermi statistics to ones with Bose statistics, and inequalities which are important in the study of Bose-Einstein condensation and of superconductivity.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01008516
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