A) If two operators commute, show that they have the same eigenfunction. B) Prove that [A^, (B^ + C^)] = [A^, B^] + [A^, C^] C) Write the differential expression of the angular momentum components Lx, Ly and L,. D) Determine the value of the total angular momentum L for the H-atom in the orbit l=3 and plot a diagram to show its projections on the z-axis.
A) If two operators commute, show that they have the same eigenfunction. B) Prove that [A^, (B^ + C^)] = [A^, B^] + [A^, C^] C) Write the differential expression of the angular momentum components Lx, Ly and L,. D) Determine the value of the total angular momentum L for the H-atom in the orbit l=3 and plot a diagram to show its projections on the z-axis.
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![A) If two operators commute, show that they have the same eigenfunction.
B) Prove that [A^, (B^ + C^)] = [A^, B^] + [A^, C^]
C) Write the differential expression of the angular momentum components
Lx, L, and L,.
D) Determine the value of the total angular momentum L for the H-atom in the orbit
l=3 and plot a diagram to show its projections on the z-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F953b43fd-4c3a-4cd4-937e-ec752c218e70%2Fb0ca4ff7-2d96-4ba9-a969-dc31b3b2d294%2F33u2zxt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A) If two operators commute, show that they have the same eigenfunction.
B) Prove that [A^, (B^ + C^)] = [A^, B^] + [A^, C^]
C) Write the differential expression of the angular momentum components
Lx, L, and L,.
D) Determine the value of the total angular momentum L for the H-atom in the orbit
l=3 and plot a diagram to show its projections on the z-axis.
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