Abstract
Complete sets of symmetry operators of arbitrary finite order are found for the Schrödinger equation with some types of potential, including the potential of a supersymmetric harmonic oscillator. Potentials that admit nontrivial higher symmetries are described.
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Additional information
Institute of Mathematics, Ukrainian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 2, pp. 269–278, May, 1992.
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Nikitin, A.G., Onufriichuk, S.P. & Fushchich, V.I. Higher symmetries of the Schrödinger equation. Theor Math Phys 91, 514–521 (1992). https://doi.org/10.1007/BF01018849
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DOI: https://doi.org/10.1007/BF01018849