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- W4292956896 abstract "In this work, we generate a family of quantum potentials that are non-rational extensions of the harmonic oscillator. Such a family can be obtained via two different but equivalent supersymmetric transformations. We construct ladder operators for these extensions as the product of the intertwining operators of both transformations. Then, we generate families of Barut-Girardello coherent states and analyze some of their properties as temporal stability, continuity on the label, and completeness relation. Moreover, we calculate mean-energy values, time-dependent probability densities, Wigner functions, and the Mandel Q-parameter to uncover a general non-classical behavior of these states." @default.
- W4292956896 created "2022-08-24" @default.
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- W4292956896 date "2022-08-20" @default.
- W4292956896 modified "2023-09-27" @default.
- W4292956896 title "Equivalent non-rational extensions of the harmonic oscillator, their ladder operators and coherent states" @default.
- W4292956896 doi "https://doi.org/10.48550/arxiv.2208.09733" @default.
- W4292956896 hasPublicationYear "2022" @default.
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