Schrödinger quantum modes on the Taub-NUT background

Details Schrödinger quantum modes on the Taub-NUT background Schrödinger quantum modes on the Taub-NUT background

1999-11-03

arxiv.org/abs/hep-th/9911014v1

Mod.Phys.Lett. A15 (2000) 145

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, no figures

Scientific paper

10.1142/S0217732300000141

The Schr\"odinger equation is investigated in the Euclidean Taub-NUT geometry. The bound states are degenerate and an extra degeneracy is due to the conserved Runge-Lenz vector. The existence of the extra conserved quantities, quadratic in four-velocities implies the possibility of separating variables in two different coordinate systems. The eigenvalues and the eigenvectors are given in both cases in explicit, closed form.

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