Lie theory and separation of variables. 7. The harmonic oscillator in elliptic coordinates and Ince polynomials

DOI10.1063/1.522574zbMath0295.35021OpenAlexW2081890518MaRDI QIDQ4047883

Willard jun. Miller, Charles P. Boyer, Ernest G. Kalnins

Publication date: 1975

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.522574

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions ⋮ Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψt t − Δ2Ψ = 0 ⋮ Swings and roundabouts: optical Poincaré spheres for polarization and Gaussian beams ⋮ Approximate solutions to the quantum problem of two opposite charges in a constant magnetic field

Cites Work

• New 'coherent' states associated with non-compact groups
• On a Hilbert space of analytic functions and an associated integral transform part I
• Canonical transforms. II. Complex radial transforms
• Lie theory and separation of variables. 6. The equation i U t + Δ2U = 0
• A new basis for the representations of the rotation group. Lamé and Heun polynomials
• Clebsch-Gordan Coefficients and Special Function Identities. I. The Harmonic Oscillator Group
• On Generalized Heat Polynomials

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