On a possible algebra morphism of U q [osp(1/2n)] onto the deformed oscillator algebra W q (n)
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چکیده
منابع مشابه
1 REPRESENTATIONS OF THE q-DEFORMED ALGEBRA U ′ q (so4)
We study the nonstandard q-deformation U ′ q (so 4) of the universal enveloping algebra U (so 4) obtained by deforming the defining relations for skew-symmetric generators of U (so 4). This algebra is used in quantum gravity and algebraic topology. We construct a homomor-phism φ of U ′ q (so 4) to the certain nontrivial extension of the Drinfeld–Jimbo quantum algebra U q (sl 2) ⊗2 and show that...
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Different generators of a deformed oscillator algebra give rise to oneparameter families of q-exponential functions and q-Hermite polynomials related by generating functions. Connections of the Stieltjes and Hamburger classical moment problems with the corresponding resolution of unity for the q-coherent states and with ’coordinate’ operators Jacobi matrices, are also pointed out. Permanent add...
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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: Letters in Mathematical Physics
سال: 1993
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00745150