Supersymmetry in Quantum Mechanics of Colored Particles
Sh. Mamedov, Jian-Zu Zhang, V. Zhukovskii
TL;DR
This paper investigates the role of supercharge operators in the quantum mechanics of a Dirac particle in a chromomagnetic field, focusing on Hamiltonian factorization and ground state determination under unbroken supersymmetry.
Contribution
It introduces a factorization approach for the Hamiltonian and explicitly determines the ground state wave function in the context of supersymmetric quantum mechanics for colored particles.
Findings
Hamiltonian can be factorized in the presence of a chromomagnetic field
Ground state wave function is explicitly derived for unbroken supersymmetry
Supersymmetry remains unbroken in this quantum mechanical setting
Abstract
The role of supercharge operators is studied in the case of a Dirac particle moving in a constant chromomagnetic field. The Hamiltonian is factorised and the ground state wave function in the case of unbroken supersymmetry is determined.
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