Roberto Garra, Filippo Giraldi, Francesco Mainardi, "Wright-type Generalized Coherent States," WSEAS Transactions on Mathematics, vol. 18, pp. 428-431, 2019, DOI:
Roberto Garra, Filippo Giraldi, Francesco Mainardi. Wright-type Generalized Coherent States.
WSEAS Transactions on Mathematics. 2019;18:428-431.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 18, 2019
Wright-type Generalized Coherent States
Authors: , ,
Abstract: In this paper we construct a new generalization of coherent states based on the application of Wright functions. This explicit family of coherent states is based on the generalization of the classical coherent states by using a positive weight function. We analyze in detail by means of the Mandel parameter, the deviations from the conventional coherent states due to this generalization that leads to sub- or super-Poissonian behaviour. We also discuss the connection between generalized coherent states and weighted Poisson distributions. Finally, we briefly show the relation between the normalizing function here used and the solution of a fractional differential equation with variable coefficients.
Pages: 428-431 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #52 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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