Different eigenstates with the same eigenvalues are degenerate. This 
degeneracy can be split however if you turn on some perturbing field, such 
as an electric or magnetic field. An electric and magnetic field applied to 
degenerate atomic states result in Stark and Zeeman splitting.

LC

On Wednesday, July 25, 2018 at 3:24:31 AM UTC-5, [email protected] wrote:
>
>
>
> On Wednesday, July 25, 2018 at 12:49:02 AM UTC, [email protected] wrote:
>>
>>  http://farside.ph.utexas.edu/teaching/qmech/Quantum/node40.html
>>
>
> Can we have different eigenfunctions with the same eigenvalue? How common 
> is this? TIA, AG 
>

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