A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics
Soon-Tae Hong, Joohan Lee, Tae Hoon Lee, Phillial Oh
Abstract
We solve the quantum mechanical problem of a charged particle on S2 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.
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