Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric gl(2) quantizations
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چکیده
Multiparametric quantum gl(2) algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit leading to quantum harmonic oscillator algebras is implemented in the form of generalized Lie bialgebra contractions.
منابع مشابه
Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
Multiparametric quantum deformations of gl(2) are studied through a complete classification of gl(2) Lie bialgebra structures. From them, the nonrelativistic limit leading to harmonic oscillator Lie bialgebras is implemented by means of a contraction procedure. New quantum deformations of gl(2) together with their associated quantum R-matrices are obtained. Other known quantizations are recover...
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تاریخ انتشار 1998