Quantum particle on a M?bius strip, coherent states and projection operators

摘要

The coherent states for a quantum particle on a M?bius strip are constructed and their relation to 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. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to Coherent states: mathematical and physical aspects.