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20202024
most citedSome new considerations about the -function

1 citations · 1 across the 7 of their papers we have counts for

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7 papers

quant-ph20241 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

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…

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…

quant-ph2023

Free particle trapped in an infinite quantum well examined through the discrete calculus model

Dušan Popov

We use the discrete approach to solve the Schrödinger as well as the Bloch equations for a free particle and the quantum gas of free particles embedded in an infinite quantum well…

quant-ph2023

Considerations of the duality in generalized coherent states formalism

Dušan Popov

In the paper, a pair of dual operators is introduced with which a dual pair of generalized displacement operators is constructed. With these entities it is shown that the Barut - G…