Abstract
The coherent states for a quantum particle on a Möbius strip are constructed and the 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.
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References
J. R. Klauder and B. S. Skagerstam, Coherent States: Applications in Physics and Mathemetical Physics (World Sci., Singapore, 1985).
K. Kowalski et al., J. Phys. A 29, 4149 (1996).
J. P. Gazeau and J. R. Klauder, J. Phys. A 32, 123 (1999).
D. J. Cirilo-Lombardo, in preparation.
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The text was submitted by the authors in English.
Partial results of the presented an the conference Path Integrals: New Trends and Perspectives, MPISC, Dresden, Germany (2007).