Lakshmanan, M. ; Hasegawa, H. (1984) On the canonical equivalence of the kepler problem in coordinate and momentum spaces Journal of Physics A: Mathematical and General, 17 (16). L889-L894. ISSN 1751-8121
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Official URL: http://iopscience.iop.org/0305-4470/17/16/006
Related URL: http://dx.doi.org/10.1088/0305-4470/17/16/006
Abstract
It is shown that the dynamics of the hydrogen atom in elliptic cylindrical coordinates on the Fock hypersphere S3 in momentum space is canonically equivalent to the R3 (usual position space) dynamics. The implication to the semiclassical quantisation procedure of the hydrogen atom in a weak magnetic field is briefly discussed.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics Publishing. |
| ID Code: | 19648 |
| Deposited On: | 22 Nov 2010 12:10 |
| Last Modified: | 08 Jun 2011 07:26 |
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