Supersymmetry and Singular Potentials
Ashok Das, Sergio A. Pernice
TL;DR
This paper examines how singular potentials affect supersymmetry in quantum mechanics and demonstrates that proper regularization preserves supersymmetry even without the regularization parameter.
Contribution
It provides a critical analysis showing that regularized singular potentials do not break supersymmetry when the regularization is removed.
Findings
Proper regularization preserves supersymmetry in singular potentials.
Supersymmetry remains intact after removing the regularization parameter.
The analysis clarifies the role of regularization in supersymmetric quantum mechanics.
Abstract
The breaking of supersymmetry due to singular potentials in supersymmetric quantum mechanics is critically analyzed. It is shown that, when properly regularized, these potentials respect supersymmetry, even when the regularization parameter is removed.
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