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Zeeman Perturbation Matrices in the Coupled Basis
Keywords: Quantum Mechanics, Angular Momentum, Perturbation Theory, Matrix Notation
Students write down angular momentum matrices by inspection.
Students use Clebsch-Gordan coefficients to calculate angular momentum matrices in the coupled basis.
The weak field Zeeman effect requires students to work in the coupled basis, where the fine structure is diagonal, but the Zeeman perturbation is not diagonal. This activity shows students the power of the Clebsch-Gordan coefficients.
qmzeemancoupledguide.pdf
Authors: David H. McIntyre
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