## Angular momentum: understanding spatial aspects in chemistry and physicsDesigned as a learning tool for those with limited background in quantum mechanics, this book provides comprehensive coverage of angular momentum in quantum mechanics and its applications to chemistry and physics. Based on class-tested material, this presentation offers clear explanations of theory while giving equal attention to solving real problems. Theoretical considerations are made concrete and accessible through extensive examples and applications at the end of each chapter. Problem sets, designed as both individual and group exercises, are treated as an integral part of the text in order to stimulate student interest and clarify the abstract principles discussed. Examples are drawn primarily from atomic and molecular phenomena, and include many intermediate steps (often left out of other texts) to ensure complete mastery of the material, and to lay the groundwork for understanding photon and particle collision phenomena, and more advanced studies. |

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### Contents

Angular Momentum Operators and Wave Functions | 1 |

Coupling of Two Angular Momentum Vectors | 43 |

Transformation under Rotation | 73 |

Copyright | |

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### Common terms and phrases

6-j symbol angular momentum operators atomic beam calculation Cartesian Cartesian tensor Chem classical Clebsch-Gordan coefficients commutation components constant correlation cos2 cross section denote density matrix diagonal diatomic molecule direction distribution E. P. Wigner eigenfunctions electric dipole electronic energy levels Equation Euler angles evaluate expression factor Figure Hamiltonian Hence inertia interaction internuclear axis irreducible line strength linear magnetic magnetic quantum matrix elements Molec molecular molecule-fixed frame momenta multipole multipole moments nuclear orientation parity particles perpendicular phase photon Phys plane polarization precession quadrupole Quantum Mechanics quantum numbers R. N. Zare representation resonance fluorescence result rigid rotor rotation matrices scalar scattering secular determinant shows sin2 space-fixed frame Spectra spherical harmonics spherical tensor spin spin-orbit symmetric top symmetry tensor operators total angular momentum transition unitary transformation vanishes vector model vibrational wave function Wigner Wigner-Eckart theorem York