Applications of classical and quantum algebras to molecular thermodynamics

Angelova, Maia (2002) Applications of classical and quantum algebras to molecular thermodynamics. Physics of Particles and Nuclei, 33 (7). pp. 71-82. ISSN 1063-7796

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Abstract

Lie-algebraic and quantum-algebraic techniques are used in the analysis of thermodynamic properties of molecules and solids. The local anharmonic effects are described by a Morse-like potential associated with the su(2) algebra. A vibrational high-temperature partition function and the related thermodynamic potentials are derived in terms of the parameters of the model. Quantum analogues of anharmonic bosons, q-bosons, are introduced and used to describe anharmonic properties of molecules and solids. It is shown that the quantum deformation parameter is related to the fixed number of anharmonic bosons and the shape of the anharmonic potential. A new algebraic realization of the q-bosons, for the case of q being a root of unity is given. This realization represents the symmetry of a linear lattice with periodic boundary conditions.

Item Type:	Article
Additional Information:	This paper was presented as a plenary talk at the IXth International Conference on Symmetry Methods in Physics 2001.
Subjects:	F300 Physics
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	EPrint Services
Date Deposited:	13 Nov 2008 14:38
Last Modified:	31 Jul 2021 08:38
URI:	http://nrl.northumbria.ac.uk/id/eprint/215

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