Polynomially deformed oscillators ask-bonacci oscillators
نویسندگان
چکیده
منابع مشابه
q-deformed dynamics of q-deformed oscillators
We show that an infinite set of q-deformed relevant operators close a partial q-deformed Lie algebra under commutation with the Arik-Coon oscillator. The dynamics is described by the multicommutator: [Ĥ, . . . , [Ĥ, Ô] . . .], that follows a power law which leads to a dynamical scaling. We study the dynamics of the Arik-Coon and anharmonic oscillators and analyze the role of q and the other par...
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It is proved that quasi-exactly soluble potentials corresponding to an oscillator with harmonic, quartic and sextic terms, for which the n + 1 lowest levels of a given parity can be determined exactly, may be approximated by WKB equivalent potentials corresponding to deformed anharmonic oscillators of SUq(1,1) symmetry, which have been used for the description of vibrational spectra of diatomic...
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The idea that a system obeying interpolating statistics can be described by a deformed oscillator algebra has been an outstanding issue. This original concept introduced long ago by Greenberg is the motivation for this investigation. We establish that a q-deformed algebra can be used to describe the statistics of particles (anyons) interpolating continuously between Bose and Fermi statistics, i...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2010
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/43/9/095203