Introduction to the Graphical Theory of Angular Momentum PDF Download
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Author: Ewald Balcar
Publisher: Springer
ISBN: 3642031188
Category : Science
Languages : en
Pages : 227
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Book Description
Application of quantum mechanics in physics and chemistry often entails manipulation and evaluation of sums and products of coupling coefficients for the theory of angular momentum. Challenges encountered in such work can be tamed by graphical techniques that provide both the insight and analytical power. The book is the first step-by-step exposition of a graphical method grounded in established work. Copious exercises recover standard results but demonstrate the power to go beyond.
Author: Ewald Balcar
Publisher: Springer
ISBN: 3642031188
Category : Science
Languages : en
Pages : 227
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Book Description
Application of quantum mechanics in physics and chemistry often entails manipulation and evaluation of sums and products of coupling coefficients for the theory of angular momentum. Challenges encountered in such work can be tamed by graphical techniques that provide both the insight and analytical power. The book is the first step-by-step exposition of a graphical method grounded in established work. Copious exercises recover standard results but demonstrate the power to go beyond.
Author:
Publisher: Springer
ISBN: 9783642031199
Category :
Languages : en
Pages :
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Book Description
Author: Richard J. Trudeau
Publisher: Courier Corporation
ISBN: 0486318664
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.
Author: Irna Lyublinskaya
Publisher:
ISBN: 9781938168932
Category : Physics
Languages : en
Pages : 1665
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Book Description
"This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. ... This online, fully editable and customizable title includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems."--Website of book.
Author: V. N. Gribov
Publisher: Cambridge University Press
ISBN: 1139441892
Category : Science
Languages : en
Pages : 311
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Book Description
This 2003 book is a rigorous introduction to the theory of complex angular momenta, based on the methods of field theory. This is an English translation of the famous lecture course given by Vladimir Gribov in 1969. Besides their historical significance, these lectures are highly relevant to modern research in theoretical physics.
Author: Miron Amusia
Publisher: Springer Science & Business Media
ISBN: 3642247520
Category : Science
Languages : en
Pages : 806
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Book Description
The aim of this book is to present highly accurate and extensive theoretical Atomic data and to give a survey of selected calculational methods for atomic physics, used to obtain these data. The book presents the results of calculations of cross sections and probabilities of a broad variety of atomic processes with participation of photons and electrons, namely on photoabsorption, electron scattering and accompanying effects. Included are data for photoabsorption and electron scattering cross-sections and probabilities of vacancy decay formed for a large number of atoms and ions. Attention is also given to photoionization and vacancy decay in endohedrals and to positron-atom scattering. The book is richly illustrated. The methods used are one-electron Hartree-Fock and the technique of Feynman diagrams that permits to include many-electron correlations. This is done in the frames of the Random Phase approximation with exchange and the many-body perturbation theory. Newly obtained and previously collected atomic data are presented. The atomic data are useful for investigating the electronic structure and physical processes in solids and liquids, molecules and clusters, astronomical objects, solar and planet atmospheres and atomic nucleus. Deep understanding of chemical reactions and processes is reached by deep and accurate knowledge of atomic structure and processes with participation of atoms. This book is useful for theorists performing research in different domains of contemporary physics, chemistry and biology, technologists working on production of new materials and for experimentalists performing research in the field of photon and electron interaction with atoms, molecules, solid bodies and liquids.
Author: Brain Judd
Publisher: Elsevier
ISBN: 0323159052
Category : Science
Languages : en
Pages : 251
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Book Description
Angular Momentum Theory for Diatomic Molecules focuses on the application of angular momentum theory in describing the complex dynamical processes in molecules. The manuscript first offers information on tensor algebra and rotation group. Discussions focus on commutation relations, spherical and double tensors, rotations, coupling, reduced matrix elements, quaternions, combination theorem for Gegenbauer polynomials, and combination theorems for spherical harmonics. The book then takes a look at R(4) in physical systems and hydrogen molecular ion, including rigid rotator, reversed angular momentum, reduced matrix elements, spheroidal coordinates, and hydrogen atom in spheroidal coordinates. The publication examines expansions and free diatomic molecules. Topics include angular momentum, molecular frame, primitive energy spectrum, rotating oscillator and hydrogen atom, expressions for electric potentials, delta functions, and Neumann expansion. The manuscript also considers external fields and perturbations. The text is a dependable reference for readers interested in the application of angular momentum theory in identifying the dynamical processes going on in molecules.
Author: I. Lindgren
Publisher: Springer Science & Business Media
ISBN: 3642966144
Category : Science
Languages : en
Pages : 483
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Book Description
This book has developed through a series of lectures on atomic theory given these last eight years at Chalmers University of Technology and several oth er research centers. These courses were intended to make the basic elements of atomic theory available to experimentalists working with the hyperfine structure and the optical properties of atoms and to provide some insight into recent developments in the theory. The original intention of this book has gradually extended to include a wide range of topics. We have tried to provide a complete description of atomic theory, bridging the gap between introductory books on quantum mechanics - such as the book by Merzbacher, for instance - and present day research in the field. Our presentation is limited to static atomic prop erties, such as the effective electron-electron interaction, but the formalism can be extended without major difficulties to include dynamic properties, such as transition probabilities and dynamic polarizabilities.
Author: Walter R. Johnson
Publisher: Springer Science & Business Media
ISBN: 3540680136
Category : Science
Languages : en
Pages : 318
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Book Description
This book provides a hands-on experience with atomic structure calculations. Material covered includes angular momentum methods, the central field Schrödinger and Dirac equations, Hartree-Fock and Dirac-Hartree-Fock equations, multiplet structure, hyperfine structure, the isotope shift, dipole and multipole transitions, basic many-body perturbation theory, configuration interaction, and correlation corrections to matrix elements. The book also contains numerical methods for solving the Schrödinger and Dirac eigenvalue problems and the (Dirac)-Hartree-Fock equations.
Author: Shang Yuan Ren
Publisher: Springer Science & Business Media
ISBN: 0387263039
Category : Science
Languages : en
Pages : 209
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Book Description
The theory of electronic states in the traditionally solid state physics is essentially a theory of electronic states in crystals of infinite size. However, any real crystal always has a finite size. This book presents an analytical theory on the electronic states in ideal low-dimensional systems and finite crystals recently developed by the author based on a differential equation theory approach. It gives some exact and general fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals and provides new insights on some fundamental problems in low-dimensional systems such as the surface states, quantum confinement effects etc, some of them are quite different from what are traditionally believed in the solid state physics community.
