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Applications of classical and quantum algebras to molecular thermodynamics

conference contribution
posted on 2002-01-01, 00:00 authored by Maia Angelova TurkedjievaMaia Angelova Turkedjieva
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.

History

Event

Joint Institute for Nuclear Research. Conference (9th : 2001 : Yerevan, Armenia)

Volume

33

Issue

7

Series

Joint Institute for Nuclear Research Conference

Pagination

1 - 12

Publisher

Joint Institute for Nuclear Research Publishing

Location

Yerevan, Armenia

Place of publication

Dubna, Russia

Start date

2001-07-03

End date

2001-07-08

ISSN

0367-2026

Language

eng, rus

Publication classification

E1.1 Full written paper - refereed

Copyright notice

2002, JINR Publishing

Editor/Contributor(s)

L Mardoyan, G Pogosyan, A Sissakian

Title of proceedings

SYMPHYS9 : Proceedings of the 9th International Conference on Symmetry Methods in Physics

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