A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics
High Energy Physics - Theory
2009-11-11 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0511275,
title = {A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics},
author = {Soon-Tae Hong and Joohan Lee and Tae Hoon Lee and Phillial Oh},
journal= {arXiv preprint arXiv:hep-th/0511275},
year = {2009}
}
Comments
20 pages including the title, prepared in JHEP format