Irreducible Cartesian Tensors PDF Download

Author: Robert F. Snider
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110564866
Category : Science
Languages : en
Pages : 268

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Book Description
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.

Author: Brian L. Silver
Publisher: Academic Press
ISBN: 1483191818
Category : Mathematics
Languages : en
Pages : 248

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Book Description
Irreducible Tensor Methods: An Introduction for Chemists explains the theory and application of irreducible tensor operators. The book discusses a compact formalism to describe the effect that results on an arbitrary function of a given set of coordinates when that set is subjected to a rotation about its origin. The text also explains the concept of irreducible tensor operators, particularly, as regards the transformation properties of operators under coordinate transformations, and, in a special way, the group of rotations. The book examines the systematic construction of compound tensor operators from simple operators to classify the behavior of any operator under coordinate rotations. This classification is a significant component of the irreducible tensor method. The text explains the use of the 6-j and 9-j symbols to complete theoretical concepts that are applied in irreducible tensor methods dealing with problems of atomic and molecular physics. The book describes the matrix elements in multielectron systems, as well as the reduced matrix elements found in these systems. The book is suitable for nuclear physicists, molecular physicists, scientists, and academicians in the field of quantum mechanics or advanced chemistry.

Author: Siegfried Hess
Publisher: Springer
ISBN: 331912787X
Category : Science
Languages : en
Pages : 449

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Book Description
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.

Author: Nouredine Zettili
Publisher: John Wiley & Sons
ISBN: 0470026782
Category : Science
Languages : en
Pages : 691

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Book Description
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.

Author: D.R. Herschbach
Publisher: Springer Science & Business Media
ISBN: 9401118361
Category : Science
Languages : en
Pages : 507

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Book Description
Dimensional scaling offers a new approach to quantum dynamical correlations. This is the first book dealing with dimensional scaling methods in the quantum theory of atoms and molecules. Appropriately, it is a multiauthor production, derived chiefly from papers presented at a workshop held in June 1991 at the Ørsted Institute in Copenhagen. Although focused on dimensional scaling, the volume includes contributions on other unorthodox methods for treating nonseparable dynamical problems and electronic correlation. In shaping the book, the editors serve three needs: an introductory tutorial for this still fledgling field; a guide to the literature; and an inventory of current research results and prospects. Part I treats basic aspects of dimensional scaling. Addressed to readers entirely unfamiliar with the subject, it provides both a qualitative overview, and a tour of elementary quantum mechanics. Part II surveys the research frontier. The eight chapters exemplify current techniques and outline results. Part III presents other methods, including nonseparable dynamics, and electron correlation in pseudomolecular excited states of atoms. Although procrustean conformity was not imposed, unifying and complementary themes are emphasized throughout the book.

Author: Roberto Passante
Publisher: MDPI
ISBN: 3039285246
Category : Science
Languages : en
Pages : 162

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Book Description
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.

Author: Sio-Iong Ao
Publisher: CRC Press
ISBN: 1315761815
Category : Computers
Languages : en
Pages : 452

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Book Description
Two large international conferences on Advances in Engineering Sciences were held in Hong Kong, March 13-15, 2013, under the International MultiConference of Engineers and Computer Scientists (IMECS 2013), and in London, U.K., 3-5 July, 2013, under the World Congress on Engineering 2013 (WCE 2013) respectively. IMECS 2013 and WCE 2013 were organize

Author: Edward Lim
Publisher: Elsevier
ISBN: 032315414X
Category : Science
Languages : en
Pages : 363

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Book Description
Excited States, Volume 3 deals with excited states and covers topics ranging from two-photon molecular spectroscopy in liquids and gases to time evolution of excited molecular states. Product energy distributions in the dissociation of polyatomic molecules are also discussed, along with the mechanism of optical nuclear polarization in molecular crystals and vibronic interactions and luminescence in aromatic molecules with non-bonding electrons. Comprised of five chapters, this volume begins with a didactic treatment of the theory of simultaneous two-photon absorption spectroscopy from the point of view concerned primarily with molecular gases and liquids. The basic theoretical quantity is shown to be an absorption tensor, as contrasted with the absorption vector of one-photon spectroscopy. The next chapter considers the time evolution of a molecular system interacting with a photon wave packet. The theory is applied to handle photon scattering from several physical models for molecular level structure in excited electronic states of polyatomic molecules. The remaining chapters explore various polyatomic decomposition processes and the basic features governing the internal energy distribution of the fragments; optical nuclear polarization in molecular crystals and vibronic interactions; and luminescence in aromatic molecules with non-bonding electrons. This book should be of interest to chemists and molecular physicists.

Author:
Publisher: Elsevier
ISBN: 9780080880020
Category : Science
Languages : en
Pages : 398

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Book Description
Progress in Optics

Author: Laurence D. Barron
Publisher: Cambridge University Press
ISBN: 1139453416
Category : Science
Languages : en
Pages : 467

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Book Description
Ranging from the physics of elementary particles to the structure of viruses, the subject matter of the book reflects the importance of optical activity and chirality in much of modern science and will be of interest to a wide range of physical and life scientists.