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when an electron in n=2 sate in a hydrogen atom, experience a external em field, then the degenerate states split in to 3 classes, which are:

1/sqrt2( 210 + 200 ) with higher energy

2 1 +1 and 2 1 -1 with the same energy as before

1/sqrt( 210 - 200) with lower energy

my question is how to interpretate the upper and lower energy states?

for upper level, i think it as there is a half probability to find the electron in 210 state and half in 200 state. but if i think in terms of this way, then the lower level becomes half probability in 210 state(which contridicts with it can also in uper level) and -1/2 probability in 200 state( wich is obviously wrong).

thanks for any helps.