103 citations · 361 across the 27 of their papers we have counts for
27 papers
Discrete quantum model of the harmonic oscillator
Natig M. Atakishiyev, Anatoliy U. Klimyk, Kurt Bernardo Wolf
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-de…
(Anti)symmetric multivariate exponential functions and corresponding Fourier transforms
A. Klimyk, J. Patera
We define and study symmetrized and antisymmetrized multivariate exponential functions. They are defined as determinants and antideterminants of matrices whose entries are exponent…
(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms
A. Klimyk, J. Patera
Four families of special functions, depending on n variables, are studied. We call them symmetric and antisymmetric multivariate sine and cosine functions. They are given as determ…
Eigenfunction Expansions of Functions Describing Systems with Symmetries
Ivan Kachuryk, Anatoliy Klimyk
Physical systems with symmetries are described by functions containing kinematical and dynamical parts. We consider the case when kinematical symmetries are described by a noncompa…
Classification theorem on irreducible representations of the q-deformed algebra U'_q(so(n))
N. Z. Iorgov, A. U. Klimyk
The aim of this paper is to give a complete classification of irreducible finite dimensional representations of the nonstandard q-deformation U'_q(so(n)) (which does not coincide w…
Orbit Functions
Anatoliy Klimyk, Jiri Patera
In the paper, properties of orbit functions are reviewed and further developed. Orbit functions on the Euclidean space are symmetrized exponential functions. The symmetrizati…