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In spherical polar coordinates, the angular momentum operators, 1² and Îz, can be written,
Ә
Î² = -ħ²
1 ə
sin Ꮎ ᎧᎾ
1 2²
sin² 0 00²
дф
él
sin)+ +
and
(a) îψ(θ, φ) = λιψ(θ, φ)
=
Î₂ = = -ih
Apply these operators to the unnormalized eigenfunction, (0, 4) = sin²0 e-²ip, and
determine the eigenvalues of that are associated with each operator.
(b) Î₂¥(0, 0) = 1₂4(0,4)

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