The complete set of symmetry operators of the Schrödinger equation

DOI10.1007/BF01067280zbMath0770.35057OpenAlexW1992536565MaRDI QIDQ1185176

Anatolia G. Nikitin

Publication date: 28 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01067280

zbMATH Keywords

Schrödinger equationhigher symmetriescomplex wave functionequations of nonrelativistic quantum mechanics

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups ⋮ Non-relativistic Bondi–Metzner–Sachs algebra ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups ⋮ Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation ⋮ Superintegrable systems with position dependent mass

Cites Work

• Nonrelativistic particles and wave equations
• Non-factorizable separable systems and higher-order symmetries of the Dirac operator
• A complete set of symmetry operators for the Dirac equation
• Matrix operator symmetries of the Dirac equation and separation of variables
• Unnamed Item
• Unnamed Item

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