Books in Classical and quantum physics mechanics and fields

The Structures of Binary Compounds

1st Edition
Volume 2
October 22, 2013
J. Hafner + 6 more
F.R. de Boer
English
eBook
9 7 8 1 4 8 3 2 9 0 7 6 8

- Up-to-date compilation of the experimental data on the structures of binary compounds by Villars and colleagues. - Coloured structure maps which order the compounds into their respective structural domains and present for the first time the local co-ordination polyhedra for the 150 most frequently occurring structure types, pedagogically very helpful and useful in the search for new materials with a required crystal structure. - Crystal co-ordination formulas: a flexible notation for the interpretation of solid-state structures by chemist Bill Jensen. - Recent important advances in understanding the quantum mechanical origin of structural stability presented in two clearly-written chapters by leading experts in the field: Hafner, Majewski and Vogl. ``The Structures of Binary Compounds'' presents not only the most up-to-date compilation of the experimental data on the structures of binary compounds, but also the recent important theoretical advances in understanding the quantum-mechanical origin of structural stability. In addition to this volume, a large wall chart displaying the structure maps for the AB, ABs and AB3 stoichiometries together with the corresponding co-ordination polyhedra, has been published.The first half of the book details the successful ordering of the known experimental data in two- or three-dimensional coloured structure maps, the 150 most frequently occurring structure types being characterized for the first time by their local co-ordination polyhedra. The second half of the book details the success of first-principle theoretical calculations within the Local Density Functional Approximation in predicting the correct ground state structures of binary semiconductors, insulators and metals. The book concludes with a chapter on the cohesion and structure of solids from the more localized tight-binding point of view.

Foundations of Mechanics

1st Edition
Volume 28
October 22, 2013
Stanislaw Bazanski
H. Zorski
English
eBook
9 7 8 1 4 8 3 2 9 1 6 1 1

In the last three decades the field of mechanics has seen spectacular progress due to the demand for applications in problems of cosmology, thermonuclear fusion, metallurgy, etc. This book provides a broad and thorough overview on the foundations of mechanics. It discusses theoretical mechanics and continuum mechanics, as well as phenomenological thermodynamics, quantum mechanics and relativistic mechanics. Each chapter presents the basic physical facts of interest without going into details and derivations and without using advanced mathematical formalism. The first part constitutes a classical exposition of Lagrange's and Hamilton's analytical mechanics on which most of the continuum theory is based. The section on continuum mechanics focuses mainly on the axiomatic foundations, with many pointers for further research in this area. Special attention is given to modern continuum thermodynamics, both for the foundations and applications. A section on quantum mechanics is also included, since the phenomenological description of various quantum phenomena is becoming of increasing importance. The work will prove indispensable to engineers wishing to keep abreast of recent theoretical advances in their field, as well as initiating and guiding future research.

Mechanics

1st Edition
Volume 27
October 22, 2013
B. Skalmierski
English
eBook
9 7 8 1 4 8 3 2 9 1 6 4 2

Since mechanics is the science of motion, studies in this field now cover a wider range of problems than has been the case in earlier classical approaches. This has been achieved by the inclusion of aspects relating to the mechanics of continuous media, or strength problems. The topics covered in this book present a comprehensive treatment of the subject providing a broader perspective to the meaning of mechanics, in the modern sense of the word.Problems in the areas of strength of materials, hydromechanics and theory of elasticity are examined. The author has also endeavoured to show a certain universality of some methods seemingly specific to mechanics by tackling some problems involving electrical or electromechanical systems but based on Lagrange's equations.The book has been designed to emphasize that mechanics is a deductive system, where the aim is not only to present mechanics as the science of motion but also to show that it serves as a bridge between mathematics and its applications, in the broadest sense of the word. Mechanical problems have inspired great mathematicians to come to grips with new mathematical problems, an excellent example here being the problem of the brachistochrone which initiated the development of the variational calculus. The book gives a comprehensive overview on new theoretical findings, and gives many applications which will prove indispensable to all those interested in mechanical and allied problems.

Theory of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamical Systems

1st Edition
October 5, 2013
Alexandru Popa
English
Paperback
9 7 8 0 1 2 4 0 9 5 0 2 1
eBook
9 7 8 0 1 2 4 1 0 4 6 8 6

Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantum mechanics and applied scientists interested in accurate atomic and molecular models. This is a reference to those working in the new field of relativistic optics, in topics related to relativistic interactions between very intense laser beams and particles, and is based on 30 years of research. The novelty of this work consists of accurate connections between the properties of quantum equations and corresponding classical equations used to calculate the energetic values and the symmetry properties of atomic, molecular and electrodynamical systems, as well as offering applications using methods for calculating the symmetry properties and the energetic values of systems and the calculation of properties of high harmonics in interactions between very intense electromagnetic fields and electrons.

Group Theory

1st Edition
September 3, 2013
Eugene P. Wigner
H. S. W. Massey
English
eBook
9 7 8 1 4 8 3 2 7 5 7 6 5

Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods.

Elementary Molecular Quantum Mechanics

2nd Edition
August 7, 2013
Valerio Magnasco
English
Hardback
9 7 8 0 4 4 4 6 2 6 4 7 9
eBook
9 7 8 0 4 4 4 6 2 6 6 6 0

The second edition of Elementary Molecular Quantum Mechanics shows the methods of molecular quantum mechanics for graduate University students of Chemistry and Physics. This readable book teaches in detail the mathematical methods needed to do working applications in molecular quantum mechanics, as a preliminary step before using commercial programmes doing quantum chemistry calculations.This book aims to bridge the gap between the classic Coulson’s Valence, where application of wave mechanical principles to valence theory is presented in a fully non-mathematical way, and McWeeny’s Methods of Molecular Quantum Mechanics, where recent advances in the application of quantum mechanical methods to molecular problems are presented at a research level in a full mathematical way. Many examples and mathematical points are given as problems at the end of each chapter, with a hint for their solution. Solutions are then worked out in detail in the last section of each Chapter.

Theory of Orbit

1st Edition
December 2, 2012
Victory Szebehely
English
eBook
9 7 8 0 3 2 3 1 4 3 4 6 2

Theory of Orbits: The Restricted Problem of Three Bodies is a 10-chapter text that covers the significance of the restricted problem of three bodies in analytical dynamics, celestial mechanics, and space dynamics. The introductory part looks into the use of three essentially different approaches to dynamics, namely, the qualitative, the quantitative, and the formalistic. The opening chapters consider the formulation of equations of motion in inertial and in rotating coordinate systems, as well as the reductions of the problem of three bodies and the corresponding streamline analogies. These topics are followed by discussions on the regularization and writing of equations of motion in a singularity-free systems; the principal qualitative aspect of the restricted problem of the curves of zero velocity; and the motion and nonlinear stability in the neighborhood of libration points. This text further explores the principles of Hamiltonian dynamics and its application to the restricted problem in the extended phase space. A chapter treats the problem of two bodies in a rotating coordinate system and treats periodic orbits in the restricted problem. Another chapter focuses on the comparison of the lunar and interplanetary orbits in the Soviet and American literature. The concluding chapter is devoted to modifications of the restricted problem, such as the elliptic, three-dimensional, and Hill’s problem. This book is an invaluable source for astronomers, engineers, and mathematicians.

Electrodynamics

1st Edition
December 2, 2012
Edward Ramberg
English
eBook
9 7 8 0 3 2 3 1 5 2 7 4 7

Lectures on Theoretical Physics provides an overview of the fundamental principles of electrodynamics. It presents biographical notes on several scientists, including Michael Faraday, James Clerk Maxwell, Heinrich Hertz, and André Marie Ampère. The book is comprised of four parts encompassing 38 chapters. Part One explains Maxwell’s equation as an axiomatic basis, in the coordinates and in differential form, but in integral form. Part Two discusses the various classes of phenomena in stationary, quasi-stationary, static, and rapidly variable fields. It also distinguishes between summation and boundary-value problems in electrostatics and magnetostatics. Part Three presents the four-dimensional form of electrodynamics as the basic introduction to the theory of relativity. It also considers the fundamental link between the dynamics of the individual electron and Maxwell’s theory. Finally, Part Four deals with the electrodynamics of moving media. This book is a valuable resource to scientists, researchers, and individuals working in the field of theoretical physics.

Path Integrals and Quantum Processes

1st Edition
December 2, 2012
Mark S. Swanson
English
eBook
9 7 8 0 3 2 3 1 3 8 1 6 1

In a clearly written and systematic presentation, Path Integrals and Quantum Processes covers all concepts necessary to understand the path integral approach to calculating transition elements, partition functions, and source functionals. The book, which assumes only a familiarity with quantum mechanics, is ideal for use as a supplemental textbook in quantum mechanics and quantum field theory courses. Graduate and post-graduate students who are unfamiliar with the path integral will also benefit from this contemporary text. Exercise sets are interspersed throughout the text to facilitate self-study.

Claude Bloch

1st Edition
December 2, 2012
R Balian
English
eBook
9 7 8 0 4 4 4 6 0 1 1 4 8

Claude Bloch: Scientific Works Oeuvre Scientifique covers the collection of scientific works of Claude Bloch. The book includes topics on field theories with non-localized interaction and notes on the symmetry properties of nuclear wave functions. It also covers theory of nuclear level density; the theory of imperfect fermi gases; the structure of nuclear matter; and the canonical form of an antisymmetric tensor and its application to the theory of superconductivity.

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