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arXiv · 0710.3929

Supersymmetry, quark confinement and the harmonic oscillator

S. A. Bruce·P. C. Minning
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Abstract

We study some quantum systems described by noncanonical commutation relations formally expressed as [q,p]=ihbar(I + chi H), where H is the associated (harmonic oscillator-like) Hamiltonian of the system, and chi is a Hermitian (constant) operator, i.e. [H,chi]=0 . In passing, we also consider a simple (chi=0 canonical) model, in the framework of a relativistic Klein-Gordon-like wave equation.

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S. A. Bruce, P. C. Minning. 2007-10-21. Supersymmetry, quark confinement and the harmonic oscillator. https://doi.org/10.1088/1751-8113/40/49/019

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