UBC Theses and Dissertations

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UBC Theses and Dissertations

Path integrals for multiply connected spaces Scholte-van de Vorst, Matthew


We derive the propagator for a particle constrained to a torus and to a Klein Bottle. This is accomplished by considering relative symmetries between the desired system and a system for which the propagator is known. This result is checked against the propagator derived via the method of stationary state construction, for which the entire spectrum of the Hamiltonian is required. We also briefly consider the application of further constraints to the systems, and the implications of different symmetries on the same constraint.

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