Abstract
We present here a construction for certain families of coherent states, arising from representations of the Poincaré group, for particles of positive mass and integral or half-integral spin. These coherent states are labelled by points in the classical phase space of the relativistic particle and are associated to affine sections of the Poincaré group, considered as a fibre bundle over the phase space.
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S. T. Ali, J-P. Antoine and J-P. Gazeau, Square integrability of group representations on homogeneous spaces. I. Reproducing triples and frames, Ann. Inst. H. Poincaré 55: 829–855 (1991)
S. T. Ali, J-P. Antoine and J-P. Gazeau, Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group, Ann. Inst. H. Poincaré 55: 857–890 (1991)
S. T. Ali, J-P. Antoine and J-P. Gazeau, Relativistic quantum frames, Ann. Phys.(NY) 222: 38–88 (1993)
S.T. Ali, J-P. Gazeau, and M.R. Karim, Frames, the β-duality in Minkowski space, and spin coherent states, preprint, Concordia University (1995)
E. Prugovečki, Dirac dynamics on stochastic phase spaces for spin-1/2 particles, Rep. Math. Phys. 17: 401–417 (1980).
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© 1995 Springer Science+Business Media New York
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Ali, S.T., Gazeau, JP. (1995). Spin Coherent States for the Poincaré Group. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization, Coherent States, and Complex Structures. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1060-8_14
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DOI: https://doi.org/10.1007/978-1-4899-1060-8_14
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4899-1060-8
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