Abstract

This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3- j , 6- j , and 9- j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.

Keywords

Angular momentum couplingAngular momentumAngular momentum operatorTotal angular momentum quantum numberPhysicsHydrogen-like atomAzimuthal quantum numberClassical mechanicsQuantization (signal processing)Orbital motionQuantum mechanicsOrbital angular momentum of lightAngular momentum of lightMathematics

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Year
1957
Type
book
Citations
3824
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Closed

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A. R. Edmonds (1957). Angular Momentum in Quantum Mechanics. Princeton University Press eBooks . https://doi.org/10.1515/9781400884186

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DOI
10.1515/9781400884186