Browsing by Author "Pogosyan, G.S."
Now showing items 1-5 of 11
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Complete sets of invariants for dynamical systems that admit a separation of variables
(American Institute of Physics, 2002-07)Consider a classical Hamiltonian H in n dimensions consisting of a kinetic energy term plus a potential. If the associated Hamilton–Jacobi equation admits an orthogonal separation of variables, then it is possible to ... -
Coulomb-oscillator duality in spaces of constant curvature
(2000-05)In this paper we construct generalizations to spheres of the well-known Levi-Civita, Kustaanheimo–Steifel, and Hurwitz regularizing transformations in Euclidean spaces of dimensions two, three, and five. The corresponding ... -
Exact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variables
(American Institute of Physics, 2007-02)We make explicit the intimate relationship between quasiexact solvability, as expounded, for example, by Ushveridze [Quasi-exactly Solvable Models in Quantum Mechanics (IOP, Bristol, 1993)], and the technique of separation ... -
Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries
(American Institute of Physics, 2006-03)We show that second-order superintegrable systems in two-dimensional and three-dimensional Euclidean space generate both exactly solvable (ES) and quasiexactly solvable (QES) problems in quantum mechanics via separation ... -
Infinite order symmetries for two-dimensional separable Schrödinger equations
(Institute of Mathematics of the National Academy of Sciences of Ukraine, 2004)Consider a non-relativistic Hamiltonian operator H in 2 dimensions consisting of a kinetic energy term plus a potential. We show that if the associated Schrödinger eigenvalue equation admits an orthogonal separation of ...
