1) A wave function for an excited state of the hydrogen atom is given by 2 1 r sin? @ exp (-i2ф). Зао exp V4raz ( 3a0 Зао /4ла? Apply the angular momentum operators 1 Î? = – h? 1 Î, = – ih- дф sin sin 0 d0 sin² 0 dø² to find:- i) the value of the orbital angular momentum quantum number, l. ii) the quantum number for the z-component on the orbital angular momentum, Mj.
1) A wave function for an excited state of the hydrogen atom is given by 2 1 r sin? @ exp (-i2ф). Зао exp V4raz ( 3a0 Зао /4ла? Apply the angular momentum operators 1 Î? = – h? 1 Î, = – ih- дф sin sin 0 d0 sin² 0 dø² to find:- i) the value of the orbital angular momentum quantum number, l. ii) the quantum number for the z-component on the orbital angular momentum, Mj.
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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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