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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 |
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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.
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Received: 18 December 2024
Revised: 01 March 2025
Accepted manuscript online: 28 March 2025
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PACS:
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02.30.Gp
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(Special functions)
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02.30.Tb
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(Operator theory)
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03.65.Ca
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(Formalism)
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05.30.-d
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(Quantum statistical mechanics)
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Corresponding Authors:
Dusan Popov
E-mail: dusan_popov@yahoo.co.uk
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Cite this article:
Dušan Popov1,2, Coherent states associated with integral multi-index Mittag-Leffler functions 2025 Chin. Phys. B 34 060201
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