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Open Quantum Systems Decoherence

Four-parameter Mittag-Leffler functions and their associated coherent states

arXiv
Authors: Dušan Popov

Year

2024

Paper ID

37652

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

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 normalization function is just the four-parameter generalized Mittag-Leffler function. We examined the characteristic properties for these pure, as well as mixed (thermal) coherent states. All calculations are made using the rules of the technique of diagonal ordering of operators. Finally, the integral counterpart of the Mittag-Leffler coherent states are examined which is connected with nu-function. The paper is an example of the application of a mathematical entity (Mittag-Leffler function) in quantum mechanics (coherent states formalism).

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.19462 [2] arXiv https://arxiv.org/abs/2410.19462 [3] Publisher https://arxiv.org/abs/2410.19462

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