Khare, Avinash (1983) The accidental degeneracy problem in nonrelativistic quantum mechanics Journal of Mathematical Physics, 24 (4). pp. 867-873. ISSN 0022-2488
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Official URL: http://jmp.aip.org/resource/1/jmapaq/v24/i4/p867_s...
Related URL: http://dx.doi.org/10.1063/1.525763
Abstract
I show that the class of potentials given by V(r)=Ar2d-2-Brd-2 possesses partial accidental degeneracy given by En1,l2=En2,l1 in case d=(l2-l1)/(n2-n1), B=[l+dn+(1-d)/2](2A/μ)½. It is further shown that, for a given potential, as the number of dimensions change, the accidental degeneracy pattern also changes except when d=1 and 2. Using these results, it is then shown that for the bottom quark-antiquark (bb̅) bound system, most likely E3S<E1F<E2D. Finally I also make some conjectures about the ordering of levels for a wide class of potentials.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| Keywords: | Quantum Mechanics; Degeneration; Potentials; Quarks; Bound State |
| ID Code: | 83397 |
| Deposited On: | 20 Feb 2012 08:45 |
| Last Modified: | 20 Feb 2012 08:45 |
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