Quantum particle on a Mobius strip, coherent states and projection operators

Details Quantum particle on a Mobius strip, coherent states and projection operators Quantum particle on a Mobius strip, coherent states and projection operators

2012-04-25

arxiv.org/abs/1204.5784v1

Physics

Mathematical Physics

To appear in: Coherent states: mathematical and physical aspects Journal of Physics A: Mathematical and Theoretical - IOPscien

Scientific paper

The coherent states for a quantum particle on a M\"{o}bius strip are constructed and their relation with the natural phase space for fermionic fields is shown. The explicit comparison of the obtained states with previous works where the cylinder quantization was used and the spin 1/2 was introduced by hand is given, and the relation between the geometrical phase space, constraints and projection operators is analyzed and discussed.

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