7 papers
Some properties of coherent states with singular complex matrix argument
Dušan Popov
In the paper our aim was to study the properties of a new version of coherent states whose argument is a linear combination of two special singular square 2 x 2 matrix, having a si…
Generalized coherent states with shifted (displaced) arguments
Dušan Popov
In the paper we developed a procedure for constructing generalized coherent states with shifted argument, as a result of the action of the generalized displacement operator. This w…
Four-parameter Mittag-Leffler functions and their associated coherent states
Dušan Popov
We defined and used a pair of Hermitian annihilation and creation operators which generate the generalized coherent states, defined in the Barut-Girardello manner, whose normalizat…
Some new considerations about the -function
Dušan Popov
The present paper starts from a previously deduced result, in which the -function plays the role of the normalization function of generalized hypergeometric coherent states for…
Connection between coherent states and some integrals and integral representations
Dušan Popov
The paper presents an interesting mathematical feedback between the formalism of coherent states and the field of integrals and integral representations involving special functions…
An application of the theta operator in generalized hypergeometric coherent states formalism
Dušan Popov
In this paper we examine one of the multiple applications of the theta operator xd/dx in quantum mechanics, namely, in the formalism of generalized hypergeometric coherent states (…