01-439 Sen R. N., Sewell G. L.

Fibre bundles in quantum physics (737K, ps) Nov 27, 01

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Abstract. The theory of fibre bundles provides a natural setting for the description of macroscopic quantum systems, wherein their classical and quantum features are represented by actions on the base manifolds and fibres, respectively, of the relevant bundles. We provide realisations of this picture in the description of (a) quasi-particle excitations of many-body systems, especially those in superfluid Helium, (b) the interplay between the microscopic and macroscopic dynamics in certain irreversible processes, such as that of a laser, and (c) local thermodynamic equilibrium. In particular, (b) involves the treatment of a dynamical system which is defined on a vector bundle.

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