An exactly solvable N-particle system in supersymmetric quantum mechanics

A supersymmetric generalization of a known solvable quantum mechanical model of N particles interacting with combined harmonic and repulsive forces is given. The new model has both supersymmetry-conserving and supersymmetry-breaking phases, and the exact energy spectrum and degeneracies are found in...

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Bibliographic Details
Published in:Nuclear physics. B 1990-11, Vol.344 (2), p.317-343
Main Authors: Freedman, Daniel Z., Mende, Paul F.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:A supersymmetric generalization of a known solvable quantum mechanical model of N particles interacting with combined harmonic and repulsive forces is given. The new model has both supersymmetry-conserving and supersymmetry-breaking phases, and the exact energy spectrum and degeneracies are found in both phases. The operator algebra of the model contains the superalgebra OSp(2‖2). The limit N → ∞ is studied, and a relation withe the theory of random matrices is discussed.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(90)90364-J