Supersymmetry, quark confinement and the harmonic oscillator

Details Supersymmetry, quark confinement and the harmonic oscillator Supersymmetry, quark confinement and the harmonic oscillator

2007-10-21

arxiv.org/abs/0710.3929v1

J.Phys.A40:14877-14886,2007

Physics

Quantum Physics

To be published in Journal of Physics A: Mathematical and Theoretical (2007)

Scientific paper

10.1088/1751-8113/40/49/019

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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