67 citations · 126 across the 5 of their papers we have counts for
4 papers · 1 filter
Quasiseparation of variables in the Schroedinger equation with a magnetic field
F. Charest, C. Hudon, P. Winternitz
We consider a two-dimensional integrable Hamiltonian system with a vector and scalar potential in quantum mechanics. Contrary to the case of a pure scalar potential, the existence…
Integrable and superintegrable quantum systems in a magnetic field
Josee Berube, Pavel Winternitz
Integrable quantum mechanical systems with magnetic fields are constructed in two-dimensional Euclidean space. The integral of motion is assumed to be a first or second order Hermi…
Separation of variables and Lie algebra contractions. Applications to special functions
George Pogosyan, Alexey Sissakian, Pavel Winternitz
A review is given of some recently obtained results on analytic contractions of Lie algebras and Lie groups and their applications to special function theory.
Discrete matrix Riccati equations with superposition formulas
Alexei V. Penskoi, Pavel Winternitz
An ordinary differential equation is said to have a superposition formula if its general solution can be expressed as a function of a finite number of particular solution. Nonlinea…