SU(2) Symmetry and Degeneracy From SUSY QM of a Neutron in the Magnetic Field of a Linear Current

Abstract

From SUSY ladder operators in momentum space of a neutron in the magnetic field of a linear current, we construct $2\times 2$ matrix operators that together with the z-component of the angular momentum satisfy the su(2) Lie algebra. We use this fact to explain the degeneracy of the energy spectrum.

References in corpus (2)

• Supersymmetry and Quantum Mechanics
• An application of supersymmetric quantum mechanics to a planar physical system

Cited by in corpus (5)

• SUSY approach to Pauli Hamiltonians with an axial symmetry
• Superintegrable and shape invariant systems with position dependent mass
• New exactly solvable systems with Fock symmetry
• Matrix superpotentials and superintegrable systems for arbitrary spin
• su(1,1) Algebraic approach of the Dirac equation with Coulomb-type scalar and vector potentials in D + 1 dimensions