scispace - formally typeset
Open AccessBook

Angular Momentum in Quantum Mechanics

Reads0
Chats0
TLDR
In this article, the angular momentum, one of the most fundamental quantities in all of quantum mechanics, is introduced and a concise introduction to its application in atomic, molecular, and nuclear physics is provided.
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.

read more

Content maybe subject to copyright    Report

Citations
More filters
Journal ArticleDOI

Electron dose calculations using the Method of Moments

TL;DR: Numerical comparisons with Monte Carlo calculations show that the Method of Moments yields expressions for the depth-dose curve, radial dose profiles, and fluence that are significantly more accurate than those provided by the Fermi-Eyges theory.
Journal ArticleDOI

Quantum theory of molecule-surface scattering: Rotational transitions

TL;DR: In this article, the quantum theory of atomic scattering from hard surfaces, previously developed to cover molecular scattering, taking into account rotational transitions, was extended to cover atomic scattering, and two methods (a perturbative and a nonperturbative approach) were considered: the former is applied to H 2 scattering, the latter to HD scattering from LiF.
Journal ArticleDOI

Collision induced light scattering from fluids composed of tetrahedral molecules

TL;DR: In this paper, collision induced isotropic and anisotropic spectra of light scattered from fluids of tetrahedral molecules are examined and the interaction function used includes the dipole-induced dipole effect (DID) and the collision induced rotational Raman effect (CIRR) to lowest order.
Journal ArticleDOI

The nodal structure of two-electron wave functions on the Wannier ridge

TL;DR: In this article, it was shown that two-electron wave functions with total angular momentum L, spin S and parity π have nodes on the Wannier ridge for all states where S + π is odd.
Journal ArticleDOI

Energy levels and photopredissociation of the He–I2 van der Waals complex in the IOS approximation

TL;DR: In this article, a theory for bound states and photodissociation of triatomic molecules based on the IOSA was developed, appled to the energy levels and photopredissociation properties of the He-I2 van der Waals complex.