A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics

Details A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics

2005-11-28

arxiv.org/abs/hep-th/0511275v2

JHEP0602:036,2006

Physics

High Energy Physics

High Energy Physics - Theory

20 pages including the title, prepared in JHEP format

Scientific paper

10.1088/1126-6708/2006/02/036

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.

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