8D oscillator and 5D Kepler problem: The case of nontrivial constraints
The topologically nontrivial correspondence between the 5D SU(2) -Kepler problem and the 8D singular oscillator is considered. It is shown that both “isospinor” and “isovector” particles on the SU(2) instanton + 1/R background in 5D can be described in terms of an 8D singular oscillator. The energy...
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| Veröffentlicht in: | Journal of mathematical physics 1999-01, Vol.40 (1), p.93-100 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The topologically nontrivial correspondence between the
5D SU(2)
-Kepler problem and the
8D
singular oscillator is considered. It is shown that both “isospinor” and “isovector” particles on the
SU(2)
instanton
+ 1/R
background in
5D
can be described in terms of an
8D
singular oscillator. The energy spectrum is calculated for an arbitrary “isospin” case. |
|---|---|
| ISSN: | 0022-2488 1089-7658 |
| DOI: | 10.1063/1.532761 |