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Applications of Coherent States in Thermodynamics and Dynamics
Book chapter

Applications of Coherent States in Thermodynamics and Dynamics

R. Gilmore
Symmetries in Science, pp 105-131
1980

Abstract

Catastrophe Theory Classical Limit Coherent State Ground State Energy Order Phase Transition
Coherent states for an arbitrary Lie group G are defined and their properties enumerated. These properties lead to a simple algorithm for studying the thermodynamic critical properties of Hamiltonians constructed from the generators of G. The algorithm is: Replace H by its “classical limit” and add an entropy term — kTs(r).Determine how the minima of the resulting function change as a function of T.

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