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A complete solution of a constrained system: SUSY monopole quantum mechanics

Authors
Hong, STLee, JLee, THOh, P
Issue Date
Feb-2006
Publisher
SPRINGER
Keywords
spontaneous symmetry breaking; sigma models; supersymmetric gauge theory; solitons monopoles and instantons
Citation
JOURNAL OF HIGH ENERGY PHYSICS, no.2, pp.036
Journal Title
JOURNAL OF HIGH ENERGY PHYSICS
Number
2
Start Page
036
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/18660
ISSN
1029-8479
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 particles 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 supersymmetry structure of the ground states in detail.
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