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Coherent States with Complex Functions

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Abstract

The canonical coherent states are infinite series in powers of a complex number z. We present classes of coherent states by replacing this complex number z by other choices, namely, iterates of a complex function, higher functions, and elementary functions. Further, we show that some of these classes do not furnish generalized oscillator algebras in the natural way. A reproducing kernel Hilbert space is discussed to each class of coherent states.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Concordia University, 7141, Sherbrooke Street West, Montreal, Quebec, Canada H4B 1R6

    K. Thirulogasanthar

  2. Department of Mathematics and Statistics, Concordia University, 7141, Sherbrooke Street West, Montreal, Quebec, Canada H4B 1R6

    G. Honnouvo

  3. Unité de Recherche en Physique Thérique, Institut de Mathématiques et de Sciences Physiques, 01 B.P, 2628, Porto-Novo, Benin. International Chair in Mathematical Physics and Applications, 01 B.P. 2628 Porto-Novo, Benin

    G. Honnouvo

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  1. K. Thirulogasanthar
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  2. G. Honnouvo
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  3. G. Honnouvo
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Thirulogasanthar, K., Honnouvo, G. & Honnouvo, G. Coherent States with Complex Functions. International Journal of Theoretical Physics 43, 1053–1071 (2004). https://doi.org/10.1023/B:IJTP.0000048600.07490.9b

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  • DOI: https://doi.org/10.1023/B:IJTP.0000048600.07490.9b

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