Oscillator Quantum Algebra and Deformed su(2) Algebra
نویسندگان
چکیده
منابع مشابه
Oscillator Quantum Algebra and Deformed su(2) Algebra
A difference operator realization of quantum deformed oscillator algebra Hq(1) with a Casimir operator freedom is introduced. We show that thisHq(1) have a nonlinear mapping to the deformed quantum su(2) which was introduced by Fujikawa et al. We also examine the cyclic representation obtained by this difference operator realization and the possibility to analyze a Bloch electron problem by Hq(...
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We have studied the underlying algebraic structure of the anharmonic oscillator by using the variational perturbation theory. To the first order of the variational perturbation, the Hamiltonian is found to be factorized into a supersymmetric form in terms of the annihilation and creation operators, which satisfy a q-deformed algebra. This algebraic structure is used to construct all the eigenst...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1997
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732397001345