SUSY QM via 2x2 Matrix Superpotential
R. de Lima Rodrigues, A. N. Vaidya
TL;DR
This paper explores N=2 supersymmetry in quantum mechanics with two-component eigenfunctions, focusing on the formulation using 2x2 matrix superpotentials.
Contribution
It introduces a novel approach to SUSY QM by employing 2x2 matrix superpotentials for systems with two-component eigenfunctions.
Findings
Demonstrates the construction of SUSY partners using matrix superpotentials
Provides explicit examples of two-component SUSY quantum systems
Shows potential for extending SUSY methods to more complex systems
Abstract
The N=2 supersymmetry in quantum mechanics involving two-component eigenfunction is investigated.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Cold Atom Physics and Bose-Einstein Condensates