Higher symmetries of the Schrödinger equation

DOI10.1007/BF01018849zbMath0779.35098OpenAlexW2122010268MaRDI QIDQ1204966

S. P. Onufriĭchuk, W. I. Fushchich, Anatolia G. Nikitin

Publication date: 1 April 1993

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01018849

zbMATH Keywords

inverse problemlinear system of ordinary differential equationsgeneralized Killing tensors\(n\)-order symmetry operatorone-dimensional Schrödinger equationssupersymmetric oscillator potential

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Conditional symmetry and spectrum of the one-dimensional Schrödinger equation ⋮ Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation ⋮ Higher symmetries of the Schrödinger operator in Newton-Cartan geometry ⋮ Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation

Cites Work

• Dynamical breaking of supersymmetry
• Non-factorizable separable systems and higher-order symmetries of the Dirac operator
• On the new invariance algebras and superalgebras of relativistic wave equations
• More on symmetries of the Schrodinger equation
• Matrix operator symmetries of the Dirac equation and separation of variables
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