Answered: 1) A wave function for an excited state… | bartleby

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1)
A wave function for an excited state of the hydrogen atom is given by
2
1
= sh
Απαβ
sin? @ exp (-i2ф).
3ao
exp
Зао
Apply the angular momentum operators
1
Î? = - h?
sin 0
- ih-
+
= -
sin 0 d0
sin? 0 dp²
to find:-
i) the value of the orbital angular momentum quantum number, 1.
ii) the quantum number for the z-component on the orbital angular momentum, mj.

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