Holonomy in quantum physics

Holonomy in nonrelativistic quantum mechanics is examined in the context of the adiabatic theorem. This theorem is proven for sufficiently regular unbounded hamiltoni-ans. Then, simplifying to matrix hamiltonians, it is proven that the adiabatic theorem defines a connection on vector bundles constru...

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Bibliographic Details
Main Author: Rutherford, Alexander R.
Language:English
Published: University of British Columbia 2010
Online Access:http://hdl.handle.net/2429/29275

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