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arXiv · hep-th/9911014

Schrödinger quantum modes on the Taub-NUT background

Ion I. Cotăescu·Mihai Visinescu
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Abstract

The Schrödinger 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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Ion I. Cotăescu, Mihai Visinescu. 1999-11-03. Schrödinger quantum modes on the Taub-NUT background. https://doi.org/10.1142/s0217732300000141

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