167 citations · 421 across the 19 of their papers we have counts for
19 papers
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…
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,…
Quantum superintegrable Zernike system
George S. Pogosyan, Cristina Salto-Alegre, Kurt Bernardo Wolf +1
We consider the differential equation that Zernike proposed to classify aberrations of wavefronts in a circular pupil, whose value at the boundary can be nonzero. On this account t…
Superintegrable classical Zernike system
George S. Pogosyan, Kurt Bernardo Wolf, Alexander Yakhno
We consider the differential equation that Zernike proposed to classify aberrations of wavefronts in a circular pupil, as if it were a classical Hamiltonian with a non-standard pot…
Kepler motion on single-sheet hyperboloid
Yu. A. Kurochkin, V. S. Otchik, L. G. Mardoyan +2
The classical Kepler-Coulomb problem on the single-sheeted hyperboloid is solved in the framework of the Hamilton--Jacobi equation. We have proven that all the bounded or…