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Irreducible Cartesian Tensors


Irreducible Cartesian Tensors
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Irreducible Cartesian Tensors


Irreducible Cartesian Tensors
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Author : Robert F. Snider
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-12-04

Irreducible Cartesian Tensors written by Robert F. Snider and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Science categories.


This monograph covers the concept of cartesian tensors with the needs and interests of physicists, chemists and other physical scientists in mind. After introducing elementary tensor operations and rotations, spherical tensors, combinations of tensors are introduced, also covering Clebsch-Gordan coefficients. After this, readers from the physical sciences will find generalizations of the results to spinors and applications to quantum mechanics.



Quantum Mechanics


Quantum Mechanics
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Author : Nouredine Zettili
language : en
Publisher: John Wiley & Sons
Release Date : 2009-02-17

Quantum Mechanics written by Nouredine Zettili and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-17 with Science categories.


Quantum Mechanics: Concepts and Applications provides a clear, balanced and modern introduction to the subject. Written with the student’s background and ability in mind the book takes an innovative approach to quantum mechanics by combining the essential elements of the theory with the practical applications: it is therefore both a textbook and a problem solving book in one self-contained volume. Carefully structured, the book starts with the experimental basis of quantum mechanics and then discusses its mathematical tools. Subsequent chapters cover the formal foundations of the subject, the exact solutions of the Schrödinger equation for one and three dimensional potentials, time-independent and time-dependent approximation methods, and finally, the theory of scattering. The text is richly illustrated throughout with many worked examples and numerous problems with step-by-step solutions designed to help the reader master the machinery of quantum mechanics. The new edition has been completely updated and a solutions manual is available on request. Suitable for senior undergradutate courses and graduate courses.



Tensors For Physics


Tensors For Physics
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Author : Siegfried Hess
language : en
Publisher: Springer
Release Date : 2015-04-25

Tensors For Physics written by Siegfried Hess and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-25 with Science categories.


This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.



Toroidal Multipole Moments In Classical Electrodynamics


Toroidal Multipole Moments In Classical Electrodynamics
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Author : Stefan Nanz
language : en
Publisher: Springer
Release Date : 2016-02-05

Toroidal Multipole Moments In Classical Electrodynamics written by Stefan Nanz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-05 with Science categories.


Stefan Nanz investigates the necessity for three multipole families in classical electrodynamics. He shows that by imposing symmetry and parity constraints, it is sufficient to deal with only two multipole families. This implies that the toroidal multipole moments do not represent an independent multipole family, and they only emerge in the long-wavelength limit.



New Trends In Quantum Electrodynamics


New Trends In Quantum Electrodynamics
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Author : Roberto Passante
language : en
Publisher: MDPI
Release Date : 2020-04-01

New Trends In Quantum Electrodynamics written by Roberto Passante and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-01 with Science categories.


This book collects research and review articles covering some recent trends in nonrelativistic quantum electrodynamics, specifically the interaction of atoms or molecules within the quantum electromagnetic radiation field and the related physical effects. Specific topics covered are: two- and three-body dispersion interactions between atoms and molecules, both in the nonretarded van der Waals and the retarded Casimir–Polder regime; vacuum field fluctuations of the electromagnetic field and their effect in atomic systems; dispersion interactions between uniformly accelerating atoms and relation with the Fulling–Davies–Unruh effect; dynamics of atomic systems under strong electromagnetic fields; symmetries in quantum electrodynamics; and open quantum systems.



Tensor Analysis


Tensor Analysis
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Author : Heinz Schade
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-10-08

Tensor Analysis written by Heinz Schade and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Mathematics categories.


Tensor calculus is a prerequisite for many tasks in physics and engineering. This book introduces the symbolic and the index notation side by side and offers easy access to techniques in the field by focusing on algorithms in index notation. It explains the required algebraic tools and contains numerous exercises with answers, making it suitable for self study for students and researchers in areas such as solid mechanics, fluid mechanics, and electrodynamics. Contents Algebraic Tools Tensor Analysis in Symbolic Notation and in Cartesian Coordinates Algebra of Second Order Tensors Tensor Analysis in Curvilinear Coordinates Representation of Tensor Functions Appendices: Solutions to the Problems; Cylindrical Coordinates and Spherical Coordinates



Statistical Mechanics Of Nonequilibrium Liquids


Statistical Mechanics Of Nonequilibrium Liquids
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Author : Denis J. Evans
language : en
Publisher: ANU E Press
Release Date : 2007-08-01

Statistical Mechanics Of Nonequilibrium Liquids written by Denis J. Evans and has been published by ANU E Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-01 with Science categories.


"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.



Advanced Quantum Theory And Its Applications Through Feynman Diagrams


Advanced Quantum Theory And Its Applications Through Feynman Diagrams
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Author : Michael D. Scadron
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Advanced Quantum Theory And Its Applications Through Feynman Diagrams written by Michael D. Scadron and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.


The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet the scientific method inadver tently steers us away from that course by requiring an ever finer subdivision of the problem into constituent components, so that the overall objective is often obscured, even to the experts. The situation is most frustrating and acute for today's graduate students, who must try to absorb as much general knowledge as is possible and also try to digest only a sm all fraction of the ever increasing morass of observational data or detailed theories to write a dissertation. This book is based on the premise that to study a subject in depth is only half the battle; the remaining struggle is to put the pieces together in a broad but comprehensive manner. Accordingly, the primary purpose of this text is to cut across the barriers existing between the various fields ofmodern physics (elementary particles; nuclear, atomic, and solid state physics; gravitation) and present a unified description of the quantum nature of forces encountered in each field at the level of the second-year physics graduate student. This unification is based on one-body perturbation techniques, covariantly generalized to what are now called "Feynman diagrams," and is formulated aS,a simple (but nontriv ial) extension of ordinary nonrelativistic, one-particle quantum theory.



Advanced Quantum Theory Third Edition


Advanced Quantum Theory Third Edition
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Author : Michael D Scadron
language : en
Publisher: World Scientific Publishing Company
Release Date : 2006-11-29

Advanced Quantum Theory Third Edition written by Michael D Scadron and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-29 with Science categories.


Advanced Quantum Theory is a concised, comprehensive, well-organized text based on the techniques used in theoretical elementary particle physics and extended to other branches of modern physics as well. While it is especially valuable reading for students and professors of physics, a less cursory survey should aid the nonspecialist in mastering the principles and calculational tools that probe the quantum nature of the fundamental forces. The initial application is to nonrelativistic scattering graphs encountered in atomic, solid state, and nuclear physics. Then, focusing on relativistic Feynman Diagrams and their construction in lowest order — applied to electromagnetic, strong, weak, and gravitational interactions — this bestseller also covers relativistic quantum theory based on group theoretical language, scattering theory, and finite parts of higher order graphs. This new edition includes two chapters on the quark model at low energies.



High Resolution Nmr Spectroscopy In Solids


High Resolution Nmr Spectroscopy In Solids
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Author : M. Mehring
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

High Resolution Nmr Spectroscopy In Solids written by M. Mehring and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Manipulation and Dilution Tools for Ruling Abundant Species "NMR is dead" was the slogan heard in the late 1960s at least among physicists, until John S. Waugh and his co-workers initiated a series of new NMR experiments, which employed the coherent modulation of interactions by strong radiofrequency fields. A wealth of new phenomena was observed, which are summarized in the introduction for the convenience of the unbiased reader, whereas Section 2 collects the basic spin interactions observed in solids. Line-narrowing effects in dipolar coupled solids by the application of multiple pulse experiments are extensively discussed in Section 3. Numerous extensions of the basic Waugh, Huber, and Haeberlen experiment have been developed by different groups and have been applied to the nuclei IH, 9Be, 19F, 27Al, 31p, 63CU in solids. Application of this technique to a variety of systems is still in progress and should reveal interesting insights into weak spin interactions in solids. It was soon realized that rare spins could be used as monitors for molecular fields in the solid state; however, rare spin observation is difficult because of the small signal-to-noise ratio. Pines, Gibby, and Waugh introduced a new concept of cross-polarization, based on ideas of Hahn and co-workers, which allows the detection ofrare spins with increased sensitivity. The dynamics involved are treated in detail. Other sections merely list results obtained by the techniques described and demonstrate their usefulness in the investigation of dynamical problems in molec ular and solid state physics.