1. Let nem (r) = Rne(r)Y(0, 0) be the solutions to the stationary Schroedinger equation with a radial potential (Y (9,) are the spherical harmonic functions). Compute the commutator [..] and use that result to show that [d³r nem (r) 23) d'r nem (r)znem (r) = 0 unless m = m'.
1. Let nem (r) = Rne(r)Y(0, 0) be the solutions to the stationary Schroedinger equation with a radial potential (Y (9,) are the spherical harmonic functions). Compute the commutator [..] and use that result to show that [d³r nem (r) 23) d'r nem (r)znem (r) = 0 unless m = m'.
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![1. Let nem (r) = Rne(r)Y(0, 0) be the solutions to the stationary Schroedinger equation with
a radial potential (Y (9.) are the spherical harmonic functions). Compute the commutator
[..] and use that result to show that
[d³r nem (r) 2x)
d'r nem (r)znem (r) = 0
unless m = m'.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb9e1fba-6846-4eb4-b8ea-a7b8e0246d07%2F708bc1e6-6ea9-4f47-935c-d0840795eecb%2F8huyome_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Let nem (r) = Rne(r)Y(0, 0) be the solutions to the stationary Schroedinger equation with
a radial potential (Y (9.) are the spherical harmonic functions). Compute the commutator
[..] and use that result to show that
[d³r nem (r) 2x)
d'r nem (r)znem (r) = 0
unless m = m'.
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