23 citations · 86 across the 11 of their papers we have counts for
11 papers
Generalized symmetries, invariant solutions and conservation laws in the Jaynes-Cummings model
Luis M. Piñuelas, Pablo C. López Vázquez, Alexander Yakhno
In this study, we investigate the Jaynes--Cummings model (JCM) using Lie symmetry analysis and conservation-law theory. The dynamics is formulated as a system of partial differenti…
Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis
G. S. Pogosyan, A. Yakhno
The paper describes solutions of the Laplace-Beltrami equation on two-dimensional two-sheeted hyperboloid for three non-subgroup coordinate systems: semi-sircular parabolic, ellipt…
Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis
G. S. Pogosyan, A. Yakhno
Three subgroup type eigenfunctions of the Laplace-Beltrami operator on a two-dimensional two-sheeted hyperboloid are considered and all interbasis expansions between them are calcu…
Reviewing the Helmholtz Equation on Euclidean Plane and Interbasis Expansions
G. S. Pogosyan, A. Yakhno
In the present paper we revisit the Helmholtz equation on the Euclidean plane and make some remarks on normalization constants and completeness of wave function sets. The coefficie…
Interbasis expansions in the Zernike system
Natig M. Atakishiyev, George S. Pogosyan, Kurt Bernardo Wolf +1
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…
New separated polynomial solutions to the Zernike system on the unit disk and interbasis expansion
George S. Pogosyan, Kurt Bernardo Wolf, Alexander Yakhno
The differential equation proposed by Frits Zernike to obtain a basis of polynomial orthogonal solutions on the the unit disk to classify wavefront aberrations in circular pupils,…