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bhaswatiBest ResponseYou've already chosen the best response.0
what type of symmetry?? i mean for hydrogen atom,the energy eigen values are degenerate w.r.t l i.e,potential is central i.e,v(r)=1/r^m.why it is called accidental??
 one year ago

Carl_PhamBest ResponseYou've already chosen the best response.0
The radial symmetry of the potential gives you the degeneracy in m, which is "expected." The additional symmetry that produces the "accidental" (unexpected) degeneracy in l is conservation of the Lenz vector:\[{\bf p} \times {\bf L}  \frac{1}{r} {\bf r}\]Roughly speaking, it's the fact that in a 1/r potential the direction of an elliptical orbit does not change.
 one year ago
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