Applications of Classical and Quantum Algebras to Molecular Thermodynamics

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dc.creatorAngelova, Maia
dc.date2002-01-15
dc.date.accessioned2026-07-07T02:44:08Z
dc.date.available2026-07-07T02:44:08Z
dc.descriptionLie-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.
dc.descriptionLATEX2e, 12 pages, 2 figures. Plenary talk given at the IX International Conference on Symmetry Methods in Physics, Yerevan, Armenia, 3-8 July 2001. The paper is submitted to Fisika Elementarnikh Chastiz i Atomnogo Yadra (J. Phys. Particles Nuclei)
dc.identifierhttps://arxiv.org/abs/cond-mat/0201240
dc.identifierhttp://arxiv.org/abs/cond-mat/0201240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18788
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectChemical Physics
dc.titleApplications of Classical and Quantum Algebras to Molecular Thermodynamics
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