Apply these operators to the unnormalized eigenfunction, (0, ¢) = sin² 0 e-²i, and determine the eigenvalues of that are associated with each operator.
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![In spherical polar coordinates, the angular momentum operators, 1² and Îz, can be written,
Ә
β = -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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b0563a1-d191-4439-9203-aacf88b8a280%2Fb5a63762-0486-4e9b-8266-6d0bf5a429f0%2Fqa8vroe_processed.png&w=3840&q=75)
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