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math-phJun 1, 2007
18
citations (OpenAlex)
authors
  • G. Pronko
institutions
  • Institute for High Energy Physics
arXiv abstractPDF
paper

Quantum superintegrable system for arbitrary spin

arXiv:0706.0310 · doi:10.1088/1751-8113/40/44/013

Abstract

In [1] was considered the superintegrable system which describes the magnetic dipole with spin 1/2 (neutron) in the field of linear current. Here we present its generalization for any spin which preserves superintegrability. The dynamical symmetry stays the same as it is for spin 1/2.

7 pages

Cited by in corpus (12)

  • Classical and Quantum Superintegrability with Applications
  • Superintegrable systems with position dependent mass
  • Higher-order superintegrability of separable potentials with a new approach to the Post-Winternitz system
  • Matrix superpotentials and superintegrable systems for arbitrary spin
  • Integrability and supersymmetry of Schroedinger-Pauli equations for neutral particles
  • Superintegrable systems with spin induced by coalgebra symmetry
  • Laplace-Runge-Lenz vector for arbitrary spin
  • Generic matrix superpotentials
  • Superintegrable systems with spin invariant with respect to the rotation group
  • Laplace-Runge-Lenz vector with spin in any dimension
  • Superintegrable systems with spin and second-order (pseudo)tensor integrals of motion
  • Superintegrability in the interaction of two particles with spin
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