Lie Theory and Separation of Variables for the Equation \[ iU_t + \Delta _2 U - \left( {\frac{\alpha }{{x_1^2 }} + \frac{\beta }{{x_2^2 }}} \right)U = 0\]

DOI10.1137/0507019zbMath0326.35017OpenAlexW2030070755MaRDI QIDQ4090747

Charles P. Boyer

Publication date: 1976

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0507019

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Other special methods applied to PDEs (35A25)

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Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions ⋮ Separation of variables in (1+2)-dimensional Schrödinger equations ⋮ On the new approach to variable separation in the time-dependent Schrödinger equation with two space dimensions ⋮ On separable Schrödinger equations

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