An application of supersymmetric quantum mechanics to a planar physical system
R. de Lima Rodrigues, V.B. Bezerra, A.N. Vaidya
TL;DR
This paper applies supersymmetric quantum mechanics to analyze a two-dimensional physical system, specifically a neutron in an external magnetic field, deriving the superpotential and ground state wave functions.
Contribution
It introduces a novel application of SUSY QM to a planar system involving a neutron in a magnetic field, providing explicit solutions for superpotential and wave functions.
Findings
Superpotential for the system is derived.
Ground state wave functions are obtained.
Demonstrates SUSY QM's applicability to planar systems.
Abstract
Supersymmetry (SUSY) in non-relativistic quantum mechanics (QM) is applied to a 2-dimensional physical system: a neutron in an external magnetic field. The superpotential and the two-component wave functions of the ground state are found out.
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