Consider a hydrogen atom in an electric field of strength &. The Hamilto- nian operator for this system is H v². e2 +e&rcos 0. Απερ 2m a) Identify Ĥ0), Ĥ), ¥©, e0) for this problem. b) Now use the hydrogen atom as the unperturbed problem and the same perturbation oper- ator. Calculate the first-order perturbation contribution to the ground state energy for the hydrogen atom in an external electric field described this perturbation operator.

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Consider a hydrogen atom in an electric field of strength &. The Hamilto-
nian operator for this system is Ĥ
e2
+e&rcos 0.
a) Identify Ĥ(0), Ĥ(1), ¥(0), E(0) for this problem.
b) Now use the hydrogen atom as the unperturbed problem and the same perturbation oper-
ator. Calculate the first-order perturbation contribution to the ground state energy for the
hydrogen atom in an external electric field described this perturbation operator.
Transcribed Image Text:Consider a hydrogen atom in an electric field of strength &. The Hamilto- nian operator for this system is Ĥ e2 +e&rcos 0. a) Identify Ĥ(0), Ĥ(1), ¥(0), E(0) for this problem. b) Now use the hydrogen atom as the unperturbed problem and the same perturbation oper- ator. Calculate the first-order perturbation contribution to the ground state energy for the hydrogen atom in an external electric field described this perturbation operator.
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