Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-01-09
J.Phys.A37:10323-10338,2004
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 2 figures, version to appear in J. Phys. A: Math. Gen
Scientific paper
10.1088/0305-4470/37/43/020
Superpotentials in ${\cal N}=2$ supersymmetric classical mechanics are no more than the Hamilton characteristic function of the Hamilton-Jacobi theory for the associated purely bosonic dynamical system. Modulo a global sign, there are several superpotentials ruling Hamilton-Jacobi separable supersymmetric systems, with a number of degrees of freedom greater than one. Here, we explore how supersymmetry and separability are entangled in the quantum version of this kind of system. We also show that the planar anisotropic harmonic oscillator and the two-Newtonian centers of force problem admit two non-equivalent supersymmetric extensions with different ground states and Yukawa couplings.
Gonzalez Leon Miguel Angel
Guilarte Juan Mateos
Izquierdo Alonso A.
Torre Mayado Marina de la
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