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Coherent states for a quantum particle on a Möbius strip

  • D. J. Cirilo-Lombardo
Physics of Elementary Particles and Atomic Nuclei. Theory

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.

PACS numbers

02.40.-k 03.65.Ca 

References

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    J. R. Klauder and B. S. Skagerstam, Coherent States: Applications in Physics and Mathemetical Physics (World Sci., Singapore, 1985).Google Scholar
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    K. Kowalski et al., J. Phys. A 29, 4149 (1996).MATHCrossRefADSMathSciNetGoogle Scholar
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    J. P. Gazeau and J. R. Klauder, J. Phys. A 32, 123 (1999).MATHCrossRefADSMathSciNetGoogle Scholar
  4. 4.
    D. J. Cirilo-Lombardo, in preparation.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear ResearchDubnaRussian Federation

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