Superintegrable Systems with Arbitrary Spin

  • A. G. Nikitin Institute of Mathematics, Nat. Acad. of Sci. of Ukraine
Keywords: superintegrability, supersymmetry, spin, anomalous interaction

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.

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Published
2018-10-11
How to Cite
Nikitin, A. (2018). Superintegrable Systems with Arbitrary Spin. Ukrainian Journal of Physics, 58(11), 1046. https://doi.org/10.15407/ujpe58.11.1046
Section
Archive