Quantum-Mechanical Supersymmetry in Traps

Physics – Quantum Physics

Scientific paper

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talk presented at the UIC Workshop on Integrable Models and Supersymmetry, June 1997

Scientific paper

We discuss the application of quantum-mechanical supersymmetry to particle traps. The supersymmetric-partner wave functions may be used to describe a valence fermion in a trap system with an isotropic harmonic-oscillator potential. Interactions with the core are incorporated analytically. The close similarity of this approach to the application of supersymmetry in atomic systems is made explicit by means of a radial mapping between the two systems.

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