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Author : Herbert Charles Corben
Publisher : Unknown
Page : 304 pages
File Size : 46,7 Mb
Release : 1968
Category : Dynamics of a particle
ISBN : UCAL:B4406288
Author : M. Rivas
Publisher : Springer
Page : 337 pages
File Size : 40,6 Mb
Release : 2014-03-14
Category : Science
ISBN : 9401738815
Classical spin is described in terms of velocities and acceleration so that knowledge of advanced mathematics is not required. Written in the three-dimensional notation of vector calculus, it can be followed by undergraduate physics students, although some notions of Lagrangian dynamics and group theory are required. It is intended as a general course at a postgraduate level for all-purpose physicists. This book presents a unified approach to classical and quantum mechanics of spinning particles, with symmetry principles as the starting point. A classical concept of an elementary particle is presented. The variational statements to deal with spinning particles are revisited. It is shown that, by explicitly constructing different models, symmetry principles are sufficient for the description of either classical or quantum-mechanical elementary particles. Several spin effects are analyzed.
Author : M. Rivas
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 55,8 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306471339
Classical spin is described in terms of velocities and acceleration so that knowledge of advanced mathematics is not required. Written in the three-dimensional notation of vector calculus, it can be followed by undergraduate physics students, although some notions of Lagrangian dynamics and group theory are required. It is intended as a general course at a postgraduate level for all-purpose physicists. This book presents a unified approach to classical and quantum mechanics of spinning particles, with symmetry principles as the starting point. A classical concept of an elementary particle is presented. The variational statements to deal with spinning particles are revisited. It is shown that, by explicitly constructing different models, symmetry principles are sufficient for the description of either classical or quantum-mechanical elementary particles. Several spin effects are analyzed.
Author : Martin Rivas
Publisher : Springer
Page : 368 pages
File Size : 48,6 Mb
Release : 2001-02-28
Category : Science
ISBN : UOM:39015053485929
Classical spin is described in terms of velocities and acceleration so that knowledge of advanced mathematics is not required. Written in the three-dimensional notation of vector calculus, it can be followed by undergraduate physics students, although some notions of Lagrangian dynamics and group theory are required. It is intended as a general course at a postgraduate level for all-purpose physicists. This book presents a unified approach to classical and quantum mechanics of spinning particles, with symmetry principles as the starting point. A classical concept of an elementary particle is presented. The variational statements to deal with spinning particles are revisited. It is shown that, by explicitly constructing different models, symmetry principles are sufficient for the description of either classical or quantum-mechanical elementary particles. Several spin effects are analyzed.
Author : Gaetano Lambiase,Giorgio Papini
Publisher : Springer Nature
Page : 201 pages
File Size : 50,7 Mb
Release : 2021-09-27
Category : Science
ISBN : 9783030847715
This book seeks to present a new way of thinking about the interaction of gravitational fields with quantum systems. Despite the massive amounts of research and experimentation, the myriad meetings, seminars and conferences, all of the articles, treatises and books, and the seemingly endless theorization, quantization and just plain speculation that have been engaged in regarding our evolving understanding of the quantum world, that world remains an enigma, even to the experts. The usefulness of general relativity in this regard has proven to be imperfect at best, but there is a new approach. We do not simply have to accept the limitations of Einstein's most celebrated theorem in regard to quantum theory; we can also embrace them, and thereby utilize them, to reveal new facts about the behavior of quantum systems within inertial and gravitational fields, and therefore about the very structure of space–time at the quantum level. By taking existing knowledge of the essential functionality of spin (along with the careful identification of the omnipresent inertial effects) and applying it to the quantum world, the book gives the reader a much clearer picture of the difference between the classical and quantum behaviors of a particle, shows that Einstein's ideas may not be as incompatible within this realm as many have come to believe, sparks new revelations of the way in which gravity affects quantum systems and brings a new level of efficiency—quantum efficiency, if you will—to the study of gravitational theory.
Author : A P Balachandran,G Marmo,B S Skagerstam,A Stern
Publisher : World Scientific
Page : 376 pages
File Size : 55,5 Mb
Release : 1991-05-16
Category : Science
ISBN : 9789814506717
This book is an introduction to the role of topology in the quantization of classical systems. It is also an introduction to topological solitons with special emphasis on Skyrmions. As regards the first aspect, several issues of current interest are dealt with at a reasonably elementary level. Examples are principal fibre bundles and their role in quantum physics, the possibility of spinorial quantum states in a Lagrangian theory based on tensorial variables, and multiply connected configuration spaces and associated quantum phenomena like the QCD q angle and exotic statistics. The ideas are also illustrated by simple examples such as the spinning particle, the charge-monopole system and strings in 3+1 dimensions. The application of these ideas to quantum gravity is another subject treated at an introductory level. An attempt has been made in this book to introduce the reader to the significance of topology for many distinct physical systems such as spinning particles, the charge- monopole system, strings, Skyrmions, QCD and gravity. The book is an outgrowth of lectures given by the authors at various institutions and conferences. Contents:Part I: Classical Mechanics and Quantum States:The Dirac-Bergmann Theory of ConstraintsNonrelativistic Particles with Fixed SpinMagnetic MonopolesThe Canonical Formalism and QuantizationThe Wess-Zumino Term and the Path SpaceQuantum Symmetries and the Wess-Zumino TermQuantum Theory for Multiply Connected Configuration SpacesPart II: Topological Solitons and Nonlinear Models:Topological Solitons in One and Two DimensionsNonlinear Models as Gauge TheoriesThe Chern-Simons TermPart III: Skyrmions:The Effective Lagrangian for QCDSkyrme Solitons for Two FlavoursPreliminary Discussion of Skyrme's ProposalsBaryon Number and Spin of the SkyrmionMore on the Wess-Zumino TermA Hierarchy of “Spherically Symmetric” AnsätzeSkyrmion PhenomenologyElectroweak SkyrmionsPart IV: Gauge, Gravity and String Theories:Multiply Connected Configuration Spaces in Gauge and Gravity TheoriesGeons and their PropertiesStatistics, Strings and Gravity Readership: Mathematical physicists and physicists interested in topological concepts, soliton and skyrmion theory and foundations of quantum theory. keywords:Skyrmions and Other Solitons;Geons;Magnetic Monopoles;Nonlinear Models;Wess-Zumino Term;Topology and Quantum Theory;Chern-Simons Theory;Fibre Bundles;Constraint Theory and Quantization;Spin and Statistics
Author : Sol Wieder
Publisher : Academic Press
Page : 424 pages
File Size : 55,6 Mb
Release : 1973
Category : Science
ISBN : UOM:39015024442645
The Foundations of Quantum Theory discusses the correspondence between the classical and quantum theories through the Poisson bracket-commutator analogy. The book is organized into three parts encompassing 12 chapters that cover topics on one-and many-particle systems and relativistic quantum mechanics and field theory. The first part of the book discusses the developments that formed the basis for the old quantum theory and the use of classical mechanics to develop the theory of quantum mechanics. This part includes considerable chapters on the formal theory of quantum mechanics and the wave mechanics in one- and three-dimension, with an emphasis on Coulomb problem or the hydrogen atom. The second part deals with the interacting particles and noninteracting indistinguishable particles and the material covered is fundamental to almost all branches of physics. The third part presents the pertinent equations used to illustrate the relativistic quantum mechanics and quantum field theory. This book is of value to undergraduate physics students and to students who have background in mechanics, electricity and magnetism, and modern physics.
Author : Hartmut Pilkuhn
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 46,6 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662052754
In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics appears as a special case, and classical relativistic mechanics as another one. These special cases are important for giving plausible names to operators, for example "orbital angular momentum", "spin" or "magnetic moment". A subject which is treated for the first time in this book is the theory of binaries in terms of differential equations which have the mathematical structure of the corresponding one-body equations (Klein--Gordon for two spin- less particles, Dirac for two spinor particles).
Author : Laurent Baulieu,John Iliopoulos,Roland Seneor,Roland Sénéor
Publisher : Oxford University Press
Page : 951 pages
File Size : 49,6 Mb
Release : 2017
Category : Science
ISBN : 9780198788393
Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.
Author : Paul Adrien Maurice Dirac
Publisher : Courier Corporation
Page : 100 pages
File Size : 49,6 Mb
Release : 2001-01-01
Category : Science
ISBN : 0486417131
Four concise, brilliant lectures on mathematical methods by the Nobel Laureate and quantum pioneer begin with an introduction to visualizing quantum theory through the use of classical mechanics. The remaining lectures build on that idea, examining the possibility of building a relativistic quantum theory on curved surfaces or flat surfaces.
Author : L D Landau,E. M. Lifshitz
Publisher : Elsevier
Page : 382 pages
File Size : 52,7 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483187228
Quantum Mechanics deals with various aspects of quantum mechanics and covers topics ranging from the uncertainty principle and the principle of superposition to conservation laws, Schrödinger's equation, and perturbation theory. Spin, radiation, and the identity of particles are also discussed, along with the atom, the diatomic molecule, elastic and inelastic collisions, and Feynman diagrams. Comprised of 16 chapters, this volume begins with an overview of non-relativistic quantum theory and the basic concepts of quantum mechanics such as the principles of uncertainty and superposition, operators, and the density matrix. Subsequent chapters deal with conservation laws in quantum mechanics; Schrödinger's equation and general properties of its solutions; perturbations independent of time and dependent on time; spin and the spin operator; and the principle of indistinguishability of similar particles. The atom and its electron states are also examined, together with diatomic molecules; elastic and inelastic collisions; photons and electrons; Dirac's equation; and particles and antiparticles. The final chapter is devoted to Feynman diagrams, paying particular attention to the scattering matrix, radiative corrections, and radiative shift of atomic levels. This book will be of interest to physicists.
Author : Edgard Elbaz
Publisher : Springer Science & Business Media
Page : 607 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642602665
A new approach to the teaching of quantum physics. The first seven chapters present nonrelativistic quantum mechanics and its interpretation, as well as perturbations and scattering theory. While including Dirac's and Feynman's formalisms, the chapter on symmetry also treats gauge transformations. The quantum theory of angular momentum includes the isospin of leptons and quarks and uses as a new tool the graphical spin algebra. The second part of the book is devoted to quantum fields: Boson fields including Higgs fields, Dirac's theory of Fermion fields, quantum electrodynamic and quantum chromodynamics. The whole is rounded off by a brief review guaranteed to raise the students' interests in quantum cosmology. Readers will also find many detailed worked examples and numerous problems designed to test their own understanding.
Author : A. O. Barut
Publisher : Courier Corporation
Page : 256 pages
File Size : 48,8 Mb
Release : 2012-04-30
Category : Science
ISBN : 9780486158716
Comprehensive graduate-level text by a distinguished theoretical physicist reveals the classical underpinnings of modern quantum field theory. Topics include space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and more. 1964 edition.
Author : Amnon Katz
Publisher : Unknown
Page : 228 pages
File Size : 43,8 Mb
Release : 1965
Category : Physics
ISBN : UCAL:$B113430
Publisher description: This book explores a fundamental tension in Aristotle's metaphysics: how can an entity such as a living organisma composite generated through the imposition of form on preexisting matterhave the conceptual unity that Aristotle demands of primary substances? Mary Louise Gill bases her treatment of the problem of unity, and of Aristotle's solution, on a fresh interpretation of the relation between matter and form. Challenging the traditional understanding of Aristotelian matter, she argues that material substances are subverted by matter and maintained by form that controls the matter to serve a positive end. The unity of material substances thus involves a dynamic relation between resistant materials and directive ends. Aristotle on Substance offers both a general account of matter, form, and substantial unity and a specific assessment of particular Aristotelian arguments. At every point, Gill engages Aristotle on his own philosophical ground through the detailed analysis of central, and often controversial, texts from the Metaphysics, Physics, On Generation and Corruption, De Anima, De Caelo, and the biological works. The result is a coherent, firmly grounded rethinking of Aristotle's central metaphysical concepts and of his struggle toward a fully consistent theory of material substances.
Author : Sam Treiman
Publisher : Princeton University Press
Page : 280 pages
File Size : 54,9 Mb
Release : 2024-01-09
Category : Science
ISBN : 9780691254364
An acclaimed physicist’s accessible yet rigorous introduction to quantum mechanics for nonspecialists This is a rare and much-needed book: a concise but comprehensive account of quantum mechanics for popular science readers written by a respected physicist. Sam Treiman—who was internationally renowned for his work in particle physics—makes quantum mechanics accessible to nonspecialists. Combining mastery of the material with clear, elegant prose and infectious enthusiasm, he conveys the substance, methods, and profound oddities of the field. Treiman begins with an overview of quantum mechanics. He sketches the early development of the field by Einstein, Bohr, Heisenberg, Schrödinger, and others, and he makes clear how the quantum outlook flies in the face of common sense. As he explains, the quantum world is intrinsically probabilistic. For example, a particle is not in general in some particular place at a given instant, nor does it have a definite momentum. According to the Heisenberg uncertainty principle, there is a limit to how well both location and momentum can be specified simultaneously. In addition, particles can move through barriers and otherwise move in regions of space that are forbidden by classical mechanics. If a particle has a choice of different paths, it pursues all of them at once. Particles display wave-like characteristics and waves show particle-like characteristics. Treiman pays special attention to the more fundamental wave outlook and its expression in quantum field theory. He deals here with the remarkable fact that all the particles of a given species are strictly identical, and with the unnerving fact that particles can be created and destroyed. As Treiman introduces us to these and other wonders, he also touches—without resolution—on some of the deep philosophical problems of quantum mechanics, notably how probabilities become facts. Weaving together impeccable science, engaging writing, and a talent for clear explanation honed over Treiman's distinguished career as a physicist and teacher, The Odd Quantum is a remarkable survey of a field that changed the course of modern scientific and philosophical thought.
