Quantum transport equations

Sykes, John (1964). Quantum transport equations. University of Birmingham. Ph.D.

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Abstract

We consider a system of weakly interacting Fermions which satisfies all those requirements necessary for the derivation of Van Hove’s weak coupling master equation. We show how the Boltzmann equation can be derived with the help of a Factorisation Theorem which we then prove, in the limit of an infinite system. We then use this Factorisation Theorem to show that the electrical conductivity derived from the Kubo formula is equivalent to the conductivity derived from the Boltzmann equation, for the same system of Fermions. Finally, we illustrate how the theory must be modified for a weakly interacting system of electrons and phonons.

Type of Work:	Thesis (Doctorates > Ph.D.)
Award Type:	Doctorates > Ph.D.
College/Faculty:	Faculties (to 1997) > Faculty of Science
School or Department:	Department of Mathematical Physics
Funders:	Other
Other Funders:	D.S.I.R. Research Studentship
Subjects:	Q Science > QC Physics
URI:	http://etheses.bham.ac.uk/id/eprint/17250

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