Algebraic Approach to Molecular thermodynamics

Details Algebraic Approach to Molecular thermodynamics Algebraic Approach to Molecular thermodynamics

2002-03-20

arxiv.org/abs/cond-mat/0203413v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, 6 figures, submitted to J Physics: Condensed Matter

Scientific paper

An algebraic model based on Lie-algebraic and discrete symmetry techniques is applied to the analysis of thermodynamic vibrational properties of molecules. The local anharmonic effects are described by a Morse-like potential and the corresponding anharmonic bosons are associated with the SU(2) algebra. A vibrational high-temperature partition function and the related thermodynamic functions are derived and studied in terms of the parameters of the model. The idea of a critical temperature is introduced in relation with the specific heat. A physical interpretation of a quantum deformation associated with the model is given.

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