Advanced Calculus And Its Applications In Variational Quantum Mechanics And Relativity Theory
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Advanced Calculus And Its Applications In Variational Quantum Mechanics And Relativity Theory
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Author : Fabio Silva Botelho
language : en
Publisher: CRC Press
Release Date : 2021-07-12
Advanced Calculus And Its Applications In Variational Quantum Mechanics And Relativity Theory written by Fabio Silva Botelho and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-12 with Mathematics categories.
The first part of this book reviews some key topics on multi-variable advanced calculus. The approach presented includes detailed and rigorous studies on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. The conclusion section introduces readers to Riemannian geometry, which is used in the subsequent chapters. The second part reviews applications, specifically in variational quantum mechanics and relativity theory. Topics such as a variational formulation for the relativistic Klein-Gordon equation, the derivation of a variational formulation for relativistic mechanics firstly through (semi)-Riemannian geometry are covered. The second part has a more general context. It includes fundamentals of differential geometry. The later chapters describe a new interpretation for the Bohr atomic model through a semi-classical approach. The book concludes with a classical description of the radiating cavity model in quantum mechanics.
General Relativity And Matter
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Author : M. Sachs
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
General Relativity And Matter written by M. Sachs 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 2013-03-09 with Science categories.
There exist essentially two levels of investigation in theoretical physics. One is primarily descriptive, concentrating as it does on useful phenomenological approaches toward the most economical classifications of large classes of experimental data on particular phenomena. The other, whose thrust is explanatory, has as its aim the formulation of those underlying hypotheses and their mathematical representations that are capable of furnishing, via deductive analysis, predictions - constituting the particulars of universals (the asserted laws)- about the phenomena under consideration. The two principal disciplines of contemporary theoretical physics - quantum theory and the theory of relativity - fall basically into these respective categories. General Relativity and Matter represents a bold attempt by its author to formulate, in as transparent and complete a way as possible, a fundamental theory of matter rooted in the theory of relativity - where the latter is viewed as providing an explanatory level of understanding for probing the fundamental nature ofmatter indomainsranging all the way fromfermis and lessto light years and more. We hasten to add that this assertion is not meant to imply that the author pretends with his theory to encompass all ofphysics or even a tiny part of the complete objective understanding of our accessible universe. But he does adopt the philosophy that underlying all natural phenomena there is a common conceptualbasis,and then proceeds to investigate how far such a unified viewcan take us at its present stage of development.
An Introduction To Lebesgue Integration And Fourier Series
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Author : Howard J. Wilcox
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
An Introduction To Lebesgue Integration And Fourier Series written by Howard J. Wilcox and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.
Introduction To Crystallography
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Author : Donald E. Sands
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
Introduction To Crystallography written by Donald E. Sands and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Science categories.
Concise explanation of the logical development of basic crystallographic concepts. Extensive discussion of crystals and lattices, symmetry, crystal systems and geometry, x-ray diffraction, determination of atomic positions, and more. Well-chosen selection of problems, with answers. Ideal for crystallography course or as supplement to physical chemistry courses. 114 illustrations. 1969 edition.
Introduction To Quantum Mechanics With Applications To Chemistry
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Author : Linus Pauling
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08
Introduction To Quantum Mechanics With Applications To Chemistry written by Linus Pauling and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Science categories.
Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.
The Variational Principles Of Mechanics
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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 2012-04-24
The Variational Principles Of Mechanics written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-24 with Science categories.
Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.
Stochastic Methods In Quantum Mechanics
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Author : Stanley P. Gudder
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05
Stochastic Methods In Quantum Mechanics written by Stanley P. Gudder and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Science categories.
This introductory survey of stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering also serves as a useful and comprehensive reference volume. 1979 edition.
Molecular Hydrodynamics
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Author : Jean Pierre Boon
language : en
Publisher: Courier Corporation
Release Date : 1991-01-01
Molecular Hydrodynamics written by Jean Pierre Boon and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Science categories.
A graduate level introduction to the theory and applications of time correlation functions and the molecular theory of fluid dynamics. "Quite well organized . . . the literature coverage is impressive." — Physics Today. 110 illustrations.
Lectures On Partial Differential Equations
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Author : Ivan Georgievich Petrovski?
language : en
Publisher: Courier Corporation
Release Date : 1991-01-01
Lectures On Partial Differential Equations written by Ivan Georgievich Petrovski? and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Mathematics categories.
Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
An Introduction To Linear Algebra And Tensors
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Author : M. A. Akivis
language : en
Publisher: Courier Corporation
Release Date : 2012-07-25
An Introduction To Linear Algebra And Tensors written by M. A. Akivis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Mathematics categories.
Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.