Breaking Pseudo-Rotational Symmetry through H₊² Metric Deformation in the Eckart Potential Problem

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Leija-Martinez, N., Alvarez-Castillo, D.E., Kirchbach, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148090
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Breaking Pseudo-Rotational Symmetry through H₊² Metric Deformation in the Eckart Potential Problem / N. Leija-Martinez, D.E. Alvarez-Castillo, M. Kirchbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ.

The peculiarity of the Eckart potential problem on H₊² (the upper sheet of the two-sheeted two-dimensional hyperboloid), to preserve the (2l+1)-fold degeneracy of the states typical for the geodesic motion there, is usually explained in casting the respective Hamiltonian in terms of the Casimir inva...