A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics
arXiv:hep-th/0511275 · doi:10.1088/1126-6708/2006/02/036
Abstract
We solve the quantum mechanical problem of a charged particle on S^2 in the background of a magnetic monopole for both bosonic and supersymmetric cases by constructing Hilbert space and realizing the fundamental operators obeying complicated Dirac bracket relations in terms of differential operators. We find the complete energy eigenfunctions. Using the lowest energy eigenstates we count the number of degeneracies and examine the supersymmetric structure of the ground states in detail.
20 pages including the title, prepared in JHEP format
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Cited by in corpus (6)
- Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
- Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
- Particle in a self-dual dyon background: hidden free nature, and exotic superconformal symmetry
- Generalized N = 2 Super Landau Models
- Symmetries of deformed supersymmetric mechanics on Kähler manifolds
- Superintegrable deformations of oscillator and Coulomb systems