89 citations · 210 across the 13 of their papers we have counts for
13 papers
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U_q(u(n,1))
R. M. Asherova, Č. Burdík, M. Havlíček +2
For the quantum algebra U_q(gl(n+1)) in its reduction on the subalgebra U_q(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Z_q(gl(n+1),gl(n)) is give…
A q-analog of the Racah polynomials and the q-algebra SUq(2)
R. Alvarez-Nodarse, Yu. F. Smirnov, R. S. Costas-Santos
We study some q-analogues of the Racah polynomials and some of their applications in the theory of representation of quantum algebras.
Noncompact quantum algebra
Yu. F. Smirnov, Yu. I. Kharitonov
The structure positive of unitary irreducible representations of the noncompact quantum algebra that are related to a positive discrete series is examined. With the aid…
Simple Evaluation of Franck-Condon Factors and Non-Condon Effects in the Morse Potential
J. C. Lopez V., A. L. Rivera, Yu. F. Smirnov +1
The calculation of Franck-Condon factors between different one-dimensional Morse potential eigenstates using a formula derived from the Wigner function is discussed. Our numerical…
Baryons in O(4) and Vibron Model
M. Kirchbach, M. Moshinsky, Yu. F. Smirnov
The structure of the reported excitation spectra of the light unflavored baryons is described in terms of multi-spin valued Lorentz group representations of the so called Rarita-Sc…
On a general analytical formula for U_q(su(3))-Clebsch-Gordan coefficients
R. M. Asherova, Yu. F. Smirnov, V. N. Tolstoy
We present the projection operator method in combination with the Wigner-Racah calculus of the subalgebra U_q(su(2)) for calculation of Clebsch-Gordan coefficients (CGCs) of the qu…