Coherent states with complex functions

Details Coherent states with complex functions Coherent states with complex functions

2003-07-26

arxiv.org/abs/math-ph/0307054v2

Internat. J. Theoret. Phys. 43 (2004) 1053-1071.

Physics

Mathematical Physics

14 pages

Scientific paper

10.1023/B:IJTP.0000048600.07490.

The canonical coherent states are expressed as infinite series in powers of a complex number $z$ in their infinite series version. In this article 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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