Localized and Non-Localized Solutions of q-Deformed 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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The q-deformed kink of the λφ4−model is obtained via the normalisable ground state eigenfunction of a fluctuation operator associated with the qdeformed hyberbolic functions. The kink mass, the bosonic zero-mode and the q-deformed potential in 1+1 dimensions are found. PACS numbers: 11.30.Pb, 03.65.Fd, 11.10.Ef ∗Permanent address: Departamento de Ciências Exatas e da Natureza, Universidade Fede...
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A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the qdeformed regime is then applied to q-deformed bosonic oscillators to generate a q-deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generato...
متن کاملcomments on q - deformed oscillators and q - deformed su ( 2 ) algebras
The various relations between q-deformed oscillators algebras and the q-deformed su(2) algebras are discussed. In particular, we exhibit the similarity of the q-deformed su(2) algebra obtained from q-oscillators via Schwinger construction and those obtained from q-Holstein-Primakoff transformation and show how the relation between su √ q (2) and Hong Yan q-oscillator can be regarded as an speci...
متن کاملSome comments on q-deformed oscillators and q-deformed su(2) algebras
The various relations between q-deformed oscillators algebras and the q-deformed su(2) algebras are discussed. In particular, we exhibit the similarity of the q-deformed su(2) algebra obtained from q-oscillators via Schwinger construction and those obtained from qHolstein-Primakoff transformation and show how the relation between suq(2) and Hong Yan q-oscillator can be regarded as an special ca...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 2007
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.117.589