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- W3100958729 abstract "A one-parameter generalized Wigner-Heisenberg algebra( WHA) is reviewed in detail. It is shown that WHA verifies the deformed commutation rule $[hat{x}, hat{p}_{lambda}] = i(1 + 2lambda hat{R})$ and also highlights the dynamical symmetries of the pseudo-harmonic oscillator( PHO). textbf{The present article is devoted to the study of new cat-states} built from $lambda$-deformed Schr{o}dinger coherent states, which according to the Barut-Girardello scheme are defined as the eigenstates of the generalized annihilation operator. Particular attention is devoted to the limiting case where the Schr{o}dinger cat states are obtained. Nonclassical features and quantum statistical properties of these states are studied by evaluation of Mandel's parameter and quadrature squeezing with respect to the $lambda-$deformed canonical pairs $( hat{x}, hat{p}_{lambda})$. It is shown that these states minimize the uncertainty relations of each pair of the $su(1,1)$ components." @default.
- W3100958729 created "2020-11-23" @default.
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- W3100958729 date "2015-11-01" @default.
- W3100958729 modified "2023-10-03" @default.
- W3100958729 title "Cat-states in the framework of Wigner–Heisenberg algebra" @default.
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- W3100958729 doi "https://doi.org/10.1016/j.aop.2015.08.031" @default.
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