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Current issue   Ukr. J. Phys. 2014, Vol. 58, N 11, p.1046-1054
doi:10.15407/ujpe58.11.1046    Paper

Nikitin A.G.

Institute of Mathematics, Nat. Acad. of Sci. of Ukraine
(3, Tereshchenkivska Str., Kyiv 01601, Ukraine; e-mail: nikitin@imath.kiev.ua)

Superintegrable Systems with Arbitrary Spin

Section: International Conference “Quantum Groups and Quantum Integrable Systems” Kyiv, June 18–21, 2013
Original Author's Text: English

Abstract: Superintegrable quantum mechanical systems with spin are presented. These systems admit a generalized Laplace–Runge–Lenz vector and possess the dynamical symmetry with respect to group SO(4) for bound states. Our discussion is restricted mainly to 2d and 3d systems, but a special class of arbitrary dimension systems is presented as well.

Key words: superintegrability, supersymmetry, spin, anomalous interaction.