***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 ofand 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.

Answered: Image /qna-images/answer/a8f76582-560d-4c94-89f0-85c15dd7dd92.jpg

Answered: ve turn on an electric field in the z…

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: Principles and Practice

3rd Edition

ISBN:9780534420123

Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Chapter7: Electronic Structure

Section: Chapter Questions

Problem 7.62QE

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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.

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