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Abstract

By now, we have encountered several examples of coherent states — the canonical CS, associated to the Weyl-Heisenberg group, discussed in detail in Chapter 2; vector CS, introduced in Chapter 4, Section 4.2.1; CS associated to the discrete series representations of SU(1,1), in Section 4.2.2 of the same chapter; and general coherent states, associated with any reproducing kernel Hilbert space, in Chapter 5, Section 5.3.2. At this point, certain common features are already seen to emerge, as follows.

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© 2000 Springer Science+Business Media New York

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Ali, S.T., Antoine, JP., Gazeau, JP. (2000). Covariant Coherent States. In: Coherent States, Wavelets and Their Generalizations. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1258-4_7

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  • DOI: https://doi.org/10.1007/978-1-4612-1258-4_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7065-2

  • Online ISBN: 978-1-4612-1258-4

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