Coherent states associated with integral multi-index Mittag-Leffler functions

doi:10.1088/1674-1056/adc65d

中国物理B ›› 2025, Vol. 34 ›› Issue (6): 60201-060201.doi: 10.1088/1674-1056/adc65d

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Coherent states associated with integral multi-index Mittag-Leffler functions

Dušan Popov1,2,†

1 University Politehnica Timisoara, Department of Physical Foundations of Engineering, B-dul Vasile Pârvan No. 2, 300223 Timisoara, Romania;
2 Serbian Academy of Nonlinear Sciences (SANS), Kneza Mihaila 36, Beograd-Stari Grad, Belgrade, Serbia

收稿日期:2024-12-18 修回日期:2025-03-01 接受日期:2025-03-28 出版日期:2025-05-16 发布日期:2025-05-30
通讯作者: Dusan Popov E-mail:dusan_popov@yahoo.co.uk

Coherent states associated with integral multi-index Mittag-Leffler functions

Dušan Popov1,2,†

1 University Politehnica Timisoara, Department of Physical Foundations of Engineering, B-dul Vasile Pârvan No. 2, 300223 Timisoara, Romania;
2 Serbian Academy of Nonlinear Sciences (SANS), Kneza Mihaila 36, Beograd-Stari Grad, Belgrade, Serbia

Received:2024-12-18 Revised:2025-03-01 Accepted:2025-03-28 Online:2025-05-16 Published:2025-05-30
Contact: Dusan Popov E-mail:dusan_popov@yahoo.co.uk

摘要/Abstract

摘要： The purpose of this paper is to show that by using a certain type of discrete-continuous limit, a series of integral entities can be defined (Mittag-Leffler multi-index functions, associated coherent states and their properties), which are counterparts of the corresponding discrete entities. We built and examine the properties of a new aspect of generalized integral multi-index Mittag-Leffler functions and we constructed and examined the properties of coherent states associated with this new function. This approach is motivated through the fact that these functions can be connected with the coherent states of the continuous spectrum, as well as with so-called nu-function.

关键词: Mittag-Leffler, coherent states, density operator, continuous spectrum

Abstract: The purpose of this paper is to show that by using a certain type of discrete-continuous limit, a series of integral entities can be defined (Mittag-Leffler multi-index functions, associated coherent states and their properties), which are counterparts of the corresponding discrete entities. We built and examine the properties of a new aspect of generalized integral multi-index Mittag-Leffler functions and we constructed and examined the properties of coherent states associated with this new function. This approach is motivated through the fact that these functions can be connected with the coherent states of the continuous spectrum, as well as with so-called nu-function.

Key words: Mittag-Leffler, coherent states, density operator, continuous spectrum

中图分类号: (Special functions)

02.30.Gp

02.30.Tb (Operator theory) 03.65.Ca (Formalism) 05.30.-d (Quantum statistical mechanics)

Dušan Popov1,2,. Coherent states associated with integral multi-index Mittag-Leffler functions[J]. 中国物理B, 2025, 34(6): 60201-060201.

Dušan Popov1,2,. Coherent states associated with integral multi-index Mittag-Leffler functions[J]. Chin. Phys. B, 2025, 34(6): 60201-060201.

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Coherent states associated with integral multi-index Mittag-Leffler functions

Coherent states associated with integral multi-index Mittag-Leffler functions

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