ve turn on an electric field in the z direction. Construct the 9 x 9 matrix representing the perturbing Har swer: (300|z|3 10) = -3/6a, (3 1 0|z|3 2 0) = -3/3a %3D

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***Problem 6.32 Consider the Stark effect (Problem 6.31) for the n =
hydrogen. There are initially nine degenerate states, y3lm (neglecting spin, of course),
3 states of
and we turn on an electric field in the z direction.
(a) Construct the 9 x 9 matrix representing the perturbing Hamiltonian. Partial an-
swer: (300|z|3 10) = -3/6a, (31 0jz|3 20) = -3/3a, (3 1±1|z|32+1) =
-(9/2)a.
(b) Find the eigenvalues and their degeneracies.
Transcribed Image Text:***Problem 6.32 Consider the Stark effect (Problem 6.31) for the n = hydrogen. There are initially nine degenerate states, y3lm (neglecting spin, of course), 3 states of and we turn on an electric field in the z direction. (a) Construct the 9 x 9 matrix representing the perturbing Hamiltonian. Partial an- swer: (300|z|3 10) = -3/6a, (31 0jz|3 20) = -3/3a, (3 1±1|z|32+1) = -(9/2)a. (b) Find the eigenvalues and their degeneracies.
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