normalized 2 p eigen functions 1 1 e-r/2a0 · sin 0 eiø √ (2a)³/2 2a0 1 1 The (2an) ³/2 e-r/2a0 · sin 0e¯¡ø, 2an of hydr 1 1 (2a for m =

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The normalized 2 p eigen functions of hydrogen atom are
1
1
1
1
r
√√ (2a0) ³/2
√√(2a)³/2 2a0
1
1
sin e¯iº, for m = +1, 0, −1 respectively.
√ (20) ³/2
-e-r/2a0
e-¹/2a0
r
2a0
r
·
2a⁰
sin ei
-e-r/2a0
cos ,
Apply the raising operator L+ = Lx+ iLy and lowering operator to show that
the states with m = +2 do not exist.
Transcribed Image Text:The normalized 2 p eigen functions of hydrogen atom are 1 1 1 1 r √√ (2a0) ³/2 √√(2a)³/2 2a0 1 1 sin e¯iº, for m = +1, 0, −1 respectively. √ (20) ³/2 -e-r/2a0 e-¹/2a0 r 2a0 r · 2a⁰ sin ei -e-r/2a0 cos , Apply the raising operator L+ = Lx+ iLy and lowering operator to show that the states with m = +2 do not exist.
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