Virial coefficient calculations for an anyon gas and a quon gas, and an anyonic quon gas

The second virial coefficient for an anyon gas in the presence of a magnetic field is calculated within the Schrodinger formulation and path integral formulation of quantum mechanics. A winding number expansion of the canonical partition functions reveals that the deviation in the pressure of such a...

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Bibliographic Details
Main Author: Dalton, Stephen L
Format: Dissertation
Language:English
Published: ProQuest Dissertations & Theses 01-01-2008
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Summary:The second virial coefficient for an anyon gas in the presence of a magnetic field is calculated within the Schrodinger formulation and path integral formulation of quantum mechanics. A winding number expansion of the canonical partition functions reveals that the deviation in the pressure of such a gas from its classical value stems from the non-zero relative winding numbers. A model quon Hamiltonian is proposed which simulates an anyon gas up to the third virial coefficient. A unified treatment of a free Bose-Einstein gas and a free Fermi-Dirac gas is achieved within this framework.
ISBN:9781109004830
1109004834