Browsing by Author "Pogosyan, G.S."

Now showing items 6-10 of 11

  • Separation of variables and contractions on two-dimensional hyperboloid

    Kalnins, Ernie G.; Pogosyan, G.S.; Yakhno, Alexander (Institute of Mathematics of National Academy of Science of Ukraine, 2012)
    In this paper analytic contractions have been established in the R → ∞ con- traction limit for exactly solvable basis functions of the Helmholtz equation on the two- dimensional two-sheeted hyperboloid. As a consequence ...
  • Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions

    Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (1996-12)
    In this work we examine the basis functions for those classical and quantum mechanical systems in two dimensions which admit separation of variables in at least two coordinate systems. We do this for the corresponding ...
  • Superintegrability and higher-order constants for classical and quantum systems

    Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (Springer, 2011)
    We extend recent work by Tremblay, Turbiner, and Winternitz which analyzes an infinite family of solvable and integrable quantum systems in the plane, indexed by the positive parameter k. Key components of their analysis ...
  • Superintegrability in three-dimensional Euclidean space

    Kalnins, Ernie G.; Williams, G.C.; Miller, W., Jr.; Pogosyan, G.S. (1999-02)
    Potentials for which the corresponding Schrödinger equation is maximally superintegrable in three-dimensional Euclidean space are studied. The quadratic algebra which is associated with each of these potentials is constructed ...
  • Superintegrability on the two-dimensional hyperboloid

    Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (American Institute of Physics, 1997-10)
    In this work we examine the basis functions for classical and quantum mechanical systems on the two-dimensional hyperboloid that admit separation of variables in at least two coordinate systems. We present all of these ...