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20242026
most citedSome new considerations about the -function

1 citations · 2 across the 6 of their papers we have counts for

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6 papers

quant-ph2026

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…

quant-ph2025

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…

quant-ph2024★ 1 cited

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…

quant-ph2024★ 1 cited

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…

quant-ph2024

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 (…

quant-ph2024

About some properties of the canonical density matrix versus the canonical Bloch equation

Dušan Popov

We examine some properties of the non-normalized (or canonical) density matrix in the coherent states representation, by two equivalent ways. On the one hand by its definition, and…