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Angular Momentum in Quantum Mechanics
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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
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Orbital level splitting in octahedral symmetry and SF6 rotational spectra. II. Quantitative treatment of high J levels
TL;DR: In this article, a quantitative analysis for the clusters of octahedral terms which appear in the high resolution rotational spectra of SF6 for large angular momentum is presented, and approximate expressions for the cluster energies and the splittings within each cluster are derived.
Journal ArticleDOI
Molecular pair-correlation function of liquid acetonitrile from X-ray and neutron-diffraction studies
H. Bertagnolli,M.D. Zeidler +1 more
TL;DR: In this article, a coherent distinct differential cross section was separated into intramolecular and intermolecular contributions for X-ray-diffraction studies on liquid acetonitrile at 20°C at a wavelength of 0·7 A.
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Morphological Characterization of Intracranial Aneurysms Using 3-D Moment Invariants
TL;DR: An efficient and novel methodology for 3-D shape characterization of cerebral aneurysms is described and it has been found that ZMI indices are more robust than GMI, and seem to provide a reliable way to discriminate between ruptured and unruptured aneurYSms.
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Semiclassical Perturbation Theory of Molecular Collisions. I. First and Second Order
Herschel Rabitz,Roy G. Gordon +1 more
TL;DR: In this article, explicit formulas for the first and second-order semiclassical rotationally inelastic transition probability with an electric multipole potential are derived, and an expression for the interference terms between first-and secondorder perturbation theory is also derived.
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Electron impact ionisation of Li-like and Be-like ions
H Jakubowicz,D L Moores +1 more
TL;DR: In this article, the Coulomb-Born exchange and distorted-wave exchange approximations were used to represent the initial and final states of the target system and the corresponding ionisation rate coefficients were also computed as a function of temperature.