Vector Spaces And Algebras For Chemistry And Physics
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Vector Spaces And Algebras For Chemistry And Physics
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Author : Frederick Albert Matsen
language : en
Publisher:
Release Date : 1970
Vector Spaces And Algebras For Chemistry And Physics written by Frederick Albert Matsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
A Course In Modern Mathematical Physics
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Author : Peter Szekeres
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-16
A Course In Modern Mathematical Physics written by Peter Szekeres and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-16 with Mathematics categories.
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Group Theory And Its Applications
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Author : Ernest M. Loebl
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Group Theory And Its Applications written by Ernest M. Loebl and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Group Theory and its Applications, Volume III covers the two broad areas of applications of group theory, namely, all atomic and molecular phenomena, as well as all aspects of nuclear structure and elementary particle theory. This volume contains five chapters and begins with an introduction to Wedderburn's theory to establish the structure of semisimple algebras, algebras of quantum mechanical interest, and group algebras. The succeeding chapter deals with Dynkin's theory for the embedding of semisimple complex Lie algebras in semisimple complex Lie algebras. These topics are followed by a review of the Frobenius algebra theory, its centrum, its irreducible, invariant subalgebras, and its matric basis. The discussion then shifts to the concepts and application of the Heisenberg-Weyl ring to quantum mechanics. Other chapters explore some well-known results about canonical transformations and their unitary representations; the Bargmann Hilbert spaces; the concept of complex phase space; and the concept of quantization as an eigenvalue problem. The final chapter looks into a theoretical approach to elementary particle interactions based on two-variable expansions of reaction amplitudes. This chapter also demonstrates the use of invariance properties of space-time and momentum space to write down and exploit expansions provided by the representation theory of the Lorentz group for relativistic particles, or the Galilei group for nonrelativistic ones. This book will prove useful to mathematicians, engineers, physicists, and advance students.
Mathematical Methods Xia
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Author : Douglas Henderson
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Mathematical Methods Xia written by Douglas Henderson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Physical Chemistry: An Advanced Treatise: Mathematical Methods, Volume XIA, is devoted to mathematical techniques of interest to chemists. The purpose of this treatise is to present a comprehensive treatment of physical chemistry for advanced students and investigators in a reasonably small number of volumes. An attempt has been made to include all important topics in physical chemistry together with borderline subjects which are of particular interest and importance. The book begins with discussions of elementary concepts such as linear vector spaces; generalized function theory; complex variable theory; boundary-value problems; approximating functions and their applications in numerical differentiation, integration, and the solution of differential equations; and group theory. These are followed by more advanced and specialized chapters that emphasize chemical applications rather than mathematical rigor. This book provides the student of physical chemistry with a basic understanding of those additional mathematical techniques which are important in chemistry and should enable him to read the current literature in theoretical chemistry.
Spin Eigenfunctions
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Author : Ruben Pauncz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Spin Eigenfunctions written by Ruben Pauncz 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.
The aim of this book is to give a comprehensive treatment of the different methods for the construction of spin eigenfunctions and to show their interrelations. The ultimate goal is the construction of an antisymmetric many-electron wave function that has both spatial and spin parts and the calculation of the matrix elements of the Hamiltonian over the total wave function. The representations of the symmetric group playa central role both in the construction of spin functions and in the calculation of the matrix elements of the Hamiltonian, so this subject will be treated in detail. We shall restrict the treatment to spin-independent Hamiltonians; in this case the spin does not have a direct role in the energy expression, but the choice of spin functions influences the form of spatial functions through the antisymmetry principle; the spatial functions determine the energy of the system. We shall also present the "spin-free quantum chemistry" approach of Matsen and co-workers, in which one starts immediately with the construction of spatial functions that have the correct permutational symmetries. By presenting both the conventional and the spin-free approach, one gains a better understanding of certain aspects of the elec tronic correlation problem. The latest advance in the calculation of the matrix elements of the Hamiltonian is the use of the representations of the unitary group, so this will be the last subject. It is a pleasant task to thank all those who helped in writing this book.
Physical Chemistry
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Author : Henry Eyring
language : en
Publisher:
Release Date : 1967
Physical Chemistry written by Henry Eyring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Chemistry, Physical and theoretical categories.
Semitopological Vector Spaces
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Author : Mark Burgin
language : en
Publisher: CRC Press
Release Date : 2017-06-26
Semitopological Vector Spaces written by Mark Burgin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-26 with Mathematics categories.
This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and hyperseminormed vector spaces. It develops mathematical tools for the further development of functional analysis and broadening of its applications. Exploration of semitopological vector spaces, hypernormed vector spaces, hyperseminormed vector spaces, and hypermetric vector spaces is the main topic of this book. A new direction in functional analysis, called quantum functional analysis, has been developed based on polinormed and multinormed vector spaces and linear algebras. At the same time, normed vector spaces and topological vector spaces play an important role in physics and in control theory. To make this book comprehendible for the reader and more suitable for students with some basic knowledge in mathematics, denotations and definitions of the main mathematical concepts and structures used in the book are included in the appendix, making the book useful for enhancing traditional courses of calculus for undergraduates, as well as for separate courses for graduate students. The material of Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators is closely related to what is taught at colleges and universities. It is possible to use a definite number of statements from the book as exercises for students because their proofs are not given in the book but left for the reader.
Our Changing Views Of Photons
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Author : Bruce W. Shore
language : en
Publisher: Oxford University Press
Release Date : 2020-09-11
Our Changing Views Of Photons written by Bruce W. Shore and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-11 with Science categories.
Advances in technology often rely on a world of photons as the basic units of light. Increasingly one reads of photons as essential to enterprises in Photonics and Quantum Technology, with career and investment opportunities. Notions of photons have evolved from the energy-packet crowds of Planck and Einstein, the later field modes of Dirac, the seeming conflict of wave and particle photons, to the ubiquitous laser photons of today. Readers who take interest in contemporary technology will benefit from learning what photons are now considered to be, and how our views of photons have changed — in learning about the various operational definitions that have been used for photons and their association with a variety of quantum-state manipulations that include Quantum Information, astronomical sources and crowds of photons, the boxed fields of Cavity Quantum Electrodynamics and single photons on demand, the photons of Feynman and Glauber, and the photon constituents of the Standard Model of Particle Physics. The narrative points to contemporary photons as causers of change to atoms, as carriers of messages, and as subject to controllable creation and alteration — a considerable diversity of photons, not just one kind. Our Changing Views of Photons: A Tutorial Memoir presents those general topics as a memoir of the author's involvement with physics and the photons of theoretical Quantum Optics, written conversationally for readers with no assumed prior exposure to science. It offers lay readers a glimpse of scientific discovery — of how ideas become practical, as a small scientific community reconsiders its assumptions and offers the theoretical ideas that are then developed, revised, and adopted into technology for daily use. For readers who want a more detailed understanding of the theory, three substantial appendices provide tutorials that, assuming no prior familiarity, proceed from a very elementary start to basics of discrete states and abstract vector spaces; Lie groups; notions of quantum theory and the Schrödinger equation for quantum-state manipulation; Maxwell's equations for electromagnetism, with wave modes that become photons, possibly exhibiting quantum entanglement; and the coupling of atoms and fields to create quasiparticles. The appendices can be seen as a companion to traditional textbooks on Quantum Optics.
The American Mathematical Monthly
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Author :
language : en
Publisher:
Release Date : 1972
The American Mathematical Monthly written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematicians categories.
Abstract Algebra
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Author : Gerhard Rosenberger
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22
Abstract Algebra written by Gerhard Rosenberger 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 2024-07-22 with Mathematics categories.
Abstract algebra is the study of algebraic structures like groups, rings and fields. This book provides an account of the theoretical foundations including applications to Galois Theory, Algebraic Geometry and Representation Theory. It implements the pedagogic approach to conveying algebra from the perspective of rings. The 3rd edition provides a revised and extended versions of the chapters on Algebraic Cryptography and Geometric Group Theory.