Classical and Quantum Partition Functions of the Calogero—Moser—Sutherland Model

  • Ph. Choquard
Part of the CRM Series in Mathematical Physics book series (CRM)


A new and elementary method is proposed for obtaining the equations of state of the classical and quantum CSM models as solutions of first-order nonlinear differential equations satisfied by auxiliary functions constructed from the corresponding canonical partition functions. For the classical case, the differential equation (18) is new. For the quantum case the differential equation (34) is shown to be equivalent with Yang—Yang’s type of solution obtained by Sutherland. This equivalence provides an explanation for the local character, in momentum space, of our differential equation.


Partition Function Classical Case Thermodynamic Limit Auxiliary Function Quantum Case 
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© Springer Science+Business Media New York 2000

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  • Ph. Choquard

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