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17 - Rotation Matrices and the Wigner–Eckart Theorem; Fine and Hyperfine Structure of Energy Levels in Hydrogen-Like Atoms

Published online by Cambridge University Press:  05 December 2024

Rocco Schiavilla
Rocco Schiavilla
Affiliation:
Old Dominion University, Virginia
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Summary

Euler angles and rotation matrices; construction and properties of the rotation matrices; transformation of irreducible tensor operators under rotations; fine-structure of the hydrogen atom; hydrogen atom in a magnetic field: Zeeman and Paschen-Back effects; hyperfine structure of the hydrogen atom; tensor operators; time reversal and irreducible tensor operators.

Keywords

Irreducible tensor operators and the Wigner-Eckart theoremRelativistic corrections to the Hamiltonian of hydrogen-like atoms and their effects on the energy levels
Type
Chapter
Information
Quantum Mechanics through Problems
With Complete Solutions
 , pp. 622 - 668
Publisher: Cambridge University Press
Print publication year: 2024

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