منابع مشابه
q-oscillator from the q-Hermite Polynomial
By factorization of the Hamiltonian describing the quantum mechanics of the continuous q-Hermite polynomial, the creation and annihilation operators of the qoscillator are obtained. They satisfy a q-oscillator algebra as a consequence of the shape-invariance of the Hamiltonian. A second set of q-oscillator is derived from the exact Heisenberg operator solution. Now the q-oscillator stands on th...
متن کاملOperators of the q–oscillator
A. We scrutinize the possibility of extending the result of [19] to the case of qdeformed oscillator for q real; for this we exploit the whole range of the deformation parameter as much as possible. We split the case into two depending on whether a solution of the commutation relation is bounded or not. Our leitmotif is subnormality. The deformation parameter q is reshaped and this is wh...
متن کاملA General q-Oscillator Algebra
It is well-known that the Macfarlane-Biedenharn q-oscillator and its generalization has no Hopf structure, whereas the Hong Yan q-oscillator can be endowed with a Hopf structure. In this letter, we demonstrate that it is possible to construct a general q-oscillator algebra which includes the Macfarlane-Biedenharn oscillator algebra and the Hong Yan oscillator algebra as special cases. E-mail ad...
متن کاملA q–oscillator Green Function
By using the generating function formula for the product of two q-Hermite polynomials q-deformation of the Feynman Green function for the harmonic oscillator is obtained. PACS numbers: 03.65.Fd and 02.20.a September 1996
متن کاملTWO CURIOUS q-ANALOGUES OF HERMITE POLYNOMIALS
Two well-known q-Hermite polynomials are the continuous and discrete q-Hermite polynomials. In this paper we consider two new q-Hermite polynomials and prove several curious properties about these polynomials. One striking property is the connection with q-Fibonacci polynomials and the recent works on the combinatorics of the Matrix Ansatz of the PASEP.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2008
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2008.03.043