Browsing by Author "Pogosyan, G.S."
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Complete sets of invariants for dynamical systems that admit a separation of variables
Kalnins, Ernie G.; Kress, Jonathan M.; Miller, W., Jr.; Pogosyan, G.S. (American Institute of Physics, 200207)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 ... 
Coulomboscillator duality in spaces of constant curvature
Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (200005)In this paper we construct generalizations to spheres of the wellknown LeviCivita, 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
Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (American Institute of Physics, 200702)We make explicit the intimate relationship between quasiexact solvability, as expounded, for example, by Ushveridze [Quasiexactly Solvable Models in Quantum Mechanics (IOP, Bristol, 1993)], and the technique of separation ... 
Exact and quasiexact solvability of secondorder superintegrable quantum systems: I. Euclidean space preliminaries
Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (American Institute of Physics, 200603)We show that secondorder superintegrable systems in twodimensional and threedimensional Euclidean space generate both exactly solvable (ES) and quasiexactly solvable (QES) problems in quantum mechanics via separation ... 
Infinite order symmetries for twodimensional separable Schrödinger equations
Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (Institute of Mathematics of the National Academy of Sciences of Ukraine, 2004)Consider a nonrelativistic 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 ...
Coauthors for G.S. Pogosyan
G.S. Pogosyan has 6 coauthors in Research Commons.