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• W3104146052 abstract "We revisit the quantized version of the harmonic oscillator obtained through a q-dependent family of coherent states. For each q, 0< q < 1, these normalized states form an overcomplete set that resolves the unity with respect to an explicit measure. We restrict our study to the case in which 1/q is a quadratic unit Pisot number: the q-deformed integers form Fibonacci-like sequences of integers. We then examine the main characteristics of the corresponding quantum oscillator: localization in the configuration and in the phase spaces, angle operator, probability distributions and related statistical features, time evolution and semi-classical phase space trajectories." @default.
• W3104146052 created "2020-11-23" @default.
• W3104146052 creator A5053336615 @default.
• W3104146052 creator A5063248731 @default.
• W3104146052 date "2013-03-01" @default.
• W3104146052 modified "2023-09-25" @default.
• W3104146052 title "Pisot -coherent states quantization of the harmonic oscillator" @default.
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• W3104146052 doi "https://doi.org/10.1016/j.aop.2012.11.012" @default.
• W3104146052 hasPublicationYear "2013" @default.
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