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
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
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![***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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82cb11d1-039e-4b4e-97d7-a9137dccb00b%2Fa8f76582-560d-4c94-89f0-85c15dd7dd92%2Fhu4w328_processed.jpeg&w=3840&q=75)
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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