6 papers
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…
IBM: parameter symmetry, hidden symmetries and transformations of boson operators
A. M. Shirokov, N. A. Smirnova, Yu. F. Smirnov +2
A symmetry of the parameter space of interacting boson models IBM-1 and IBM-2 is studied. The symmetry is associated with linear canonical transformations of boson operators, or, e…
Some Aspects of - and -Boson Calculus
M. R. Kibler, R. M. Asherova, Yu. F. Smirnov
A set of compatible formulas for the Clebsch-Gordan coefficients of the quantum algebra is given in this paper. These formulas are -deformations of known for…
Recursion Relations for Clebsch-Gordan Coefficients of Uq(su2) and Uq(su1,1)
M. Kibler, C. Campigotto, Yu. F. Smirnov
We report in this article three- and four-term recursion relations for Clebsch-Gordan coefficients of the quantum algebras and . These relations were obt…