Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Atakishiyev, Natig M."'
Publikováno v:
Journal of Mathematical Physics 58, 103505 (2017)
The differential equation with free boundary conditions on the unit disk that was proposed by Frits Zernike in 1934 to find Jacobi polynomial solutions (indicated as I), serves to define a classical and a quantum system which have been found to be su
Externí odkaz:
http://arxiv.org/abs/1708.06666
Publikováno v:
Symmetry 2 (2010) 1461
We propose a group-theoretical approach to the generalized oscillator algebra Ak recently investigated in J. Phys. A: Math. Theor. 43 (2010) 115303. The case k > or 0 corresponds to the noncompact group SU(1,1) (as for the harmonic oscillator and the
Externí odkaz:
http://arxiv.org/abs/1008.2881
Publikováno v:
J. Phys. A 42 (2009) 454004
It is shown that the continuous q-Hermite polynomials for q a root of unity have simple transformation properties with respect to the classical Fourier transform. This result is then used to construct q-extended eigenvectors of the finite Fourier tra
Externí odkaz:
http://arxiv.org/abs/0811.4100
We construct a new model of the quantum oscillator, whose energy spectrum is equally-spaced and lower-bounded, whereas the spectra of position and momentum are a denumerable non-degenerate set of points in [-1,1] that depends on the deformation param
Externí odkaz:
http://arxiv.org/abs/0711.3089
The finite q-oscillator is a model that obeys the dynamics of the harmonic oscillator, with the operators of position, momentum and Hamiltonian being functions of elements of the q-algebra su_q(2). The spectrum of position in this discrete system, in
Externí odkaz:
http://arxiv.org/abs/math-ph/0401035
Publikováno v:
Rev.Mex.Fis. 44 (1998) 235-244
Meixner oscillators have a ground state and an `energy' spectrum that is equally spaced; they are a two-parameter family of models that satisfy a Hamiltonian equation with a {\it difference} operator. Meixner oscillators include as limits and particu
Externí odkaz:
http://arxiv.org/abs/math-ph/9807035
A q-version of the Fourier transformation and some of its properties are discussed.
Externí odkaz:
http://arxiv.org/abs/math/9307205
Publikováno v:
4 open, Vol 2, p 2 (2019)
In the present work, we discuss some additional findings concerning algebraic properties of the N-dimensional discrete Fourier transform (DFT) raising and lowering difference operators, recently introduced in [Atakishiyeva MK, Atakishiyev NM (2015),
Externí odkaz:
https://doaj.org/article/f3fecf8d2dc842c3a6649607115d2c9b
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