Zobrazeno 1 - 10
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pro vyhledávání: '"Borzov, V. V."'
Autor:
Borzov, V. V., Damaskinsky, E. V.
In this paper, we calculate the Mandel parameter $Q_M$ for an oscillator-like system generated by generalized Chebyshev polynomials \cite{01}, \cite{02}, \cite{03}. The sign of the Mandel parameter $Q_M$ characterizes the deviation of the excitation
Externí odkaz:
http://arxiv.org/abs/2011.14140
Autor:
Borzov, V. V., Damaskinsky, E. V.
We study a generalized Chebyshev oscillator [1] associated with a point interaction for the discrete Schr\"odinger equation. Our goal is to find a realization of the annihilation operator for this oscillator by a differential operator. This realizati
Externí odkaz:
http://arxiv.org/abs/2009.00671
Autor:
Borzov, V. V., Damaskinsky, E. V.
We consider the spectrum of the discrete Schr\"odinger equation with one-dimensional perturbation. We obtain the explicit form of scattering matrix and find the exact condition of absence of singular part of the spectrum. We calculated also the eigen
Externí odkaz:
http://arxiv.org/abs/1609.05527
Autor:
Borzov, V. V., Damaskinsky, E. V.
We consider two families of polynomials $\mathbb{P}=\polP$ and $\mathbb{Q}=\polQ$\footnote{Here and below we consider only monic polynomials.} orthogonal on the real line with respect to probability measures $\mu$ and $\nu$ respectively. Let $\polQ$
Externí odkaz:
http://arxiv.org/abs/1511.03679
Autor:
Borzov, V. V., Damaskinsky, E. V.
In the interesting paper G. Honnouvo and K. Thirulogasanthar [J. Math. Phys. {\bf 55} , 093511 (2014)] the authors obtained the necessary and sufficient conditions under which the oscillator algebra connected with orthogonal polynomials on real line
Externí odkaz:
http://arxiv.org/abs/1503.08202
Autor:
Borzov, V. V., Damaskinsky, E. V.
We discuss the construction of oscillator-like systems associated with orthogonal polynomials on the example of the Fibonacci oscillator. In addition, we consider the dimension of the corresponding lie algebras.
Comment: 12 pages Submited to TMF
Comment: 12 pages Submited to TMF
Externí odkaz:
http://arxiv.org/abs/1502.08038
Autor:
Borzov, V. V., Damaskinsky, E. V.
In this note we investigate the discrete spectrum of Jacobi matrix corresponding to polynomials defined by recurrence relations with periodic coefficients. As examples we consider a)the case when period $N$ of coefficients of recurrence relations equ
Externí odkaz:
http://arxiv.org/abs/1502.08021
Autor:
Borzov, V. V., Damaskinsky, E. V.
In the previous works \cite{N46,N47} authors have defined the oscillator-like system that associated with the two variable Chebyshev-Koornwinder polynomials. We call this system the generalized Chebyshev - Koornwinder oscillator. In this paper we stu
Externí odkaz:
http://arxiv.org/abs/1402.5299
Autor:
Borzov, V. V., Damaskinsky, E. V.
In the frame of our approach we constructed the generalized oscillator connected with Krawtchouk polynomials (named Krawtchouk oscillator) and coherent states for this oscillator too. Ours results are compared with analogues ones obtained for another
Externí odkaz:
http://arxiv.org/abs/math-ph/0612071
Autor:
Borzov, V. V.1 (AUTHOR) borzov.vadim@yandex.ru, Damaskinsky, E. V.2 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Jun2022, Vol. 264 Issue 3, p252-270. 19p.
