Introduction to Quantum Mechanics · Problem 6.25

Symmetries and Conservation Laws — David J. Griffiths

Physics — Quantum Mechanics · dipole_moment_expectation

Problem

Express the expectation value of the dipole moment pe\mathbf{p}_e for an electron in the hydrogen state ψ=12(ψ211+ψ210)\psi = \frac{1}{\sqrt{2}}\left(\psi_{211} + \psi_{210}\right) in terms of a single reduced matrix element, and evaluate the expectation value. *Note*: this is the expectation value of a vector so you need to compute all three components. Don't forget Laporte's rule!

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