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Ground State Structure of a Coupled 2-Fermion System in Supersymmetric Quantum Mechanics

✍ Scribed by Felix Finster

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
307 KB
Volume
256
Category
Article
ISSN
0003-4916

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✦ Synopsis

We prove the uniqueness of the ground state for a supersymmetric quantum mechanical system of two fermions and two bosons, which is closely related to the N=1 WZ-model. The proof is constructive and gives detailed information on what the ground state looks like.

1997 Academic Press

1. INTRODUCTION, DEFINITION OF THE MODEL

A supersymmetric quantum system is defined by two self-adjoint operators Q, # on a Hilbert space H satisfying the relations

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