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Angular Momentum in Quantum Mechanics
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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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Solving the three-body Coulomb breakup problem using exterior complex scaling
TL;DR: In this paper, exterior complex scaling was used to solve the three-body Coulomb breakup problem in quantum mechanics, which is the prototypical three body Coulomb break-up problem in atomic physics.
Journal ArticleDOI
The description of the physical properties of condensed matter using irreducible tensors
TL;DR: A general framework for the description of the physical properties of condensed matter by irreducible tensors is presented in this paper, where the decomposition of a cartesian tensor into irreduceible parts is considered for polar and axial tensors of rank n and the decompositions are given explicitly up to n = 4.
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ESR line shapes in the slow‐motional region: Anisotropic liquids
TL;DR: In this article, the analysis of Freed et al. for ESR lineshapes in the slow tumbling region was generalized to include anisotropic liquids, and analytic expressions for the needed spectral densities, where previously only numerical results had been obtained, were given.
Book ChapterDOI
Collision-induced transitions between rotational levels
TL;DR: In this paper, the authors studied the elementary process in which a molecule in a quantum state ψ "collides" with another molecule (or atom) and changes its quantum state to ψ′.
Journal ArticleDOI
Hyperon-nucleon interactions - a chiral effective field theory approach
TL;DR: In this paper, the leading order hyperon-nucleon potential in chiral effective field theory was constructed, and a good description of the available data was given, and discussed briefly further improvements of this scheme.