Open AccessBook
Quantum Theory Of Angular Momemtum
TLDR
In this article, the authors present a collection of useful formulas besides those related to angular momentum, and compare different notations used by previous authors, and present results relating to different aspects of the angular momentum theory.Abstract:
Containing basic definitions and theorems as well as relations, tables of formulas and numerical tables which are essential for applications to many physical problems, the book is useful for specialists in nuclear and particle physics, atomic and molecular spectroscopy, plasma physics, collision and reaction theory, quantum chemistry, etc. The authors write many formulas in different coordinate systems. Each chapter opens with a list of its contents. New results relating to different aspects of the angular momentum theory are included. This book gathers together many useful formulas besides those related to angular momentum, and compares different notations used by previous authors.read more
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Gaussian approximation potentials: the accuracy of quantum mechanics, without the electrons.
TL;DR: A class of interatomic potential models that can be automatically generated from data consisting of the energies and forces experienced by atoms, as derived from quantum mechanical calculations, are introduced.
Journal ArticleDOI
On representing chemical environments
TL;DR: It is demonstrated that certain widely used descriptors that initially look quite different are specific cases of a general approach, in which a finite set of basis functions with increasing angular wave numbers are used to expand the atomic neighborhood density function.
Journal ArticleDOI
T-Matrix Computations of Light Scattering by Nonspherical Particles: A Review
TL;DR: In this paper, the current status of Waterman's T-matrix approach is reviewed, which is one of the most powerful and widely used tools for accurately computing light scattering by nonspherical particles, both single and composite, based on directly solving Maxwell's equations.
Book
Representation of Lie groups and special functions
A. U. Klimyk,N. Ya. Vilenkin +1 more
TL;DR: The theory of elliptic integrals was introduced by Abel as discussed by the authors, who proposed a special function to evaluate integrals, which is called integral sine, logarithm, exponential function, probability integral and so on.
Journal ArticleDOI
Weak gravitational lensing of the CMB
Antony Lewis,Anthony Challinor +1 more
TL;DR: Weak gravitational lensing has several important effects on the cosmic microwave background (CMB): it changes the CMB power spectra, induces non-Gaussianities, and generates a B-mode polarization signal that is an important source of confusion for the signal from primordial gravitational waves.