How to relate the oscillator and Coulomb systems on spheres and pseudospheres?

Author:

Nersessian A.

Publisher

Pleiades Publishing Ltd

Subject

Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Reference15 articles.

1. V. M. Ter-Antonyan, quant-ph/0003106.

2. K. Bohlin, Bull. Astron. 28, 144 (1911); T. Levi-Civita, Opere Math. 2, 411 (1906).

3. P. Kustaanheimo and E. Stiefel, J. Reine Angew. Math. 218, 204 (1965).

4. A. Hurwitz, Mathematische Werke (Birkhäuser, Basel, 1933), Vol. II, p. 641; L. S. Davtyan et al., J. Phys. A 20, 6121 (1987); D. Lambert and M. Kibler, J. Phys. A 21, 307 (1988).

5. A. Nersessian, V. M. Ter-Antonyan, and M. Tsulaia, Mod. Phys. Lett. A 11, 1605 (1996); A. Nersessian and V. M. Ter-Antonyan, Yad. Fiz. 61, 1868 (1998) [Phys. At. Nucl. 61, 1756 (1998)].

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3. Bohlin transformation for a two-dimensional singular oscillator in a constant magnetic field;Journal of Contemporary Physics (Armenian Academy of Sciences);2009-01-08

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