Schr\"odinger quantum modes on the Taub-NUT background
High Energy Physics - Theory
2009-10-31 v1 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.hep-th/9911014,
title = {Schr\"odinger quantum modes on the Taub-NUT background},
author = {Ion I. Cotăescu and Mihai Visinescu},
journal= {arXiv preprint arXiv:hep-th/9911014},
year = {2009}
}
Comments
16 pages, latex, no figures