Advanced Quantum Theory And Its Applications Through Feynman Diagrams

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Advanced Quantum Theory and Its Applications Through Feynman Diagrams

Author : Michael D. Scadron
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 43,5 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662110447

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Advanced Quantum Theory and Its Applications Through Feynman Diagrams by Michael D. Scadron Pdf

The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet the scientific method inadver tently steers us away from that course by requiring an ever finer subdivision of the problem into constituent components, so that the overall objective is often obscured, even to the experts. The situation is most frustrating and acute for today's graduate students, who must try to absorb as much general knowledge as is possible and also try to digest only a sm all fraction of the ever increasing morass of observational data or detailed theories to write a dissertation. This book is based on the premise that to study a subject in depth is only half the battle; the remaining struggle is to put the pieces together in a broad but comprehensive manner. Accordingly, the primary purpose of this text is to cut across the barriers existing between the various fields ofmodern physics (elementary particles; nuclear, atomic, and solid state physics; gravitation) and present a unified description of the quantum nature of forces encountered in each field at the level of the second-year physics graduate student. This unification is based on one-body perturbation techniques, covariantly generalized to what are now called "Feynman diagrams," and is formulated aS,a simple (but nontriv ial) extension of ordinary nonrelativistic, one-particle quantum theory.

Advanced Quantum Theory

Author : Michael D Scadron
Publisher : World Scientific Publishing Company
Page : 444 pages
File Size : 47,5 Mb
Release : 2006-11-29
Category : Science
ISBN : 9789813106819

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Advanced Quantum Theory by Michael D Scadron Pdf

Advanced Quantum Theory is a concised, comprehensive, well-organized text based on the techniques used in theoretical elementary particle physics and extended to other branches of modern physics as well. While it is especially valuable reading for students and professors of physics, a less cursory survey should aid the nonspecialist in mastering the principles and calculational tools that probe the quantum nature of the fundamental forces. The initial application is to nonrelativistic scattering graphs encountered in atomic, solid state, and nuclear physics. Then, focusing on relativistic Feynman Diagrams and their construction in lowest order — applied to electromagnetic, strong, weak, and gravitational interactions — this bestseller also covers relativistic quantum theory based on group theoretical language, scattering theory, and finite parts of higher order graphs. This new edition includes two chapters on the quark model at low energies.

Advanced Quantum Mechanics

Author : Franz Schwabl
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 44,8 Mb
Release : 2005-12-06
Category : Science
ISBN : 9783540285281

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Advanced Quantum Mechanics by Franz Schwabl Pdf

Characteristic of Schwabl’s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. New material has been added to this third edition.

Advanced Quantum Mechanics

Author : Freeman J. Dyson
Publisher : World Scientific
Page : 316 pages
File Size : 53,7 Mb
Release : 2011
Category : Science
ISBN : 9789814383400

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Advanced Quantum Mechanics by Freeman J. Dyson Pdf

This edition has been printed on the 60th anniversary of the Cornell lectures, and includes a foreword by science historian David Kaiser, as well as notes from Dyson's lectures at the Les Houches Summer School of Theoretical Physics in 1954. The Les Houches lectures, described as a supplement to the original Cornell notes, provide a more detailed look at field theory, a careful and rigorous derivation of Fermi's Golden Rule, and a masterful treatment of renormalization and Ward's Identity."--Pub. desc.

Relativistic Quantum Physics

Author : Tommy Ohlsson
Publisher : Cambridge University Press
Page : 311 pages
File Size : 41,8 Mb
Release : 2011-09-22
Category : Science
ISBN : 9781139504324

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Relativistic Quantum Physics by Tommy Ohlsson Pdf

Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.

Topics in Advanced Quantum Mechanics

Author : Barry R. Holstein
Publisher : Courier Corporation
Page : 451 pages
File Size : 40,8 Mb
Release : 2014-06-18
Category : Science
ISBN : 9780486499857

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Topics in Advanced Quantum Mechanics by Barry R. Holstein Pdf

This graduate-level text is based on a course in advanced quantum mechanics, taught many times at the University of Massachusetts, Amherst. Topics include propagator methods, scattering theory, charged particle interactions, alternate approximate methods, and Klein-Gordon and Dirac equations. Problems appear in the flow of the discussion, rather than at the end of chapters. 1992 edition.

Analytic Properties of Feynman Diagrams in Quantum Field Theory

Author : I. T. Todorov
Publisher : Elsevier
Page : 168 pages
File Size : 54,5 Mb
Release : 2014-05-17
Category : Science
ISBN : 9781483156323

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Analytic Properties of Feynman Diagrams in Quantum Field Theory by I. T. Todorov Pdf

Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. This book is an elementary presentation of a self-contained exposition of the majorization method used in the study of these graphs. The author has taken the intermediate position between Eden et al. who assumes the physics of the analytic properties of the S-matrix, containing physical ideas and test results without using the proper mathematical methods, and Hwa and Teplitz, whose works are more mathematically inclined with applications of algebraic topology and homology theory. The book starts with the definition of the quadratic form of a Feynman diagram, and then explains the majorization of Feynman diagrams. The book describes the derivation of spectral representations, the dispersion relations for the nucleon-nucleon scattering amplitude, and for the corresponding partial wave amplitude. The text then analyzes the surface of singularities of a Feynman diagram with notes explaining the Cutkosky rules of the Mandelstam representation for the box diagram. This text is ideal for mathematicians, physicists dealing with quantum theory and mechanics, students, and professors in advanced mathematics.

Waves, Particles and Fields

Author : Anthony C. Fischer-Cripps
Publisher : CRC Press
Page : 290 pages
File Size : 41,9 Mb
Release : 2019-06-20
Category : Science
ISBN : 9780429534072

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Waves, Particles and Fields by Anthony C. Fischer-Cripps Pdf

This book fills a gap in the middle ground between quantum mechanics of a single electron to the concept of a quantum field. In doing so, the book is divided into two parts; the first provides the necessary background to quantum theory extending from Planck’s formulation of black body radiation to Schrodinger’s equation; and the second part explores Dirac’s relativistic electron to quantum fields, finishing with an description of Feynman diagrams and their meaning. Much more than a popular account, yet not too heavy so as to be inaccessible, this book assumes no prior knowledge of quantum physics or field theory and provides the necessary foundations for readers to then progress to more advanced texts on quantum field theory. It will be of interest to undergraduate students in physics and mathematics, in addition to an interested, general audience. Features: Provides an extensive yet accessible background to the concepts Contains numerous, illustrative diagrams Presents in-depth explanations of difficult subjects

Advanced Quantum Mechanics

Author : Yuli V. Nazarov,Jeroen Danon
Publisher : Cambridge University Press
Page : 369 pages
File Size : 42,9 Mb
Release : 2013-01-03
Category : Science
ISBN : 9780521761505

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Advanced Quantum Mechanics by Yuli V. Nazarov,Jeroen Danon Pdf

An accessible introduction to advanced quantum theory, this textbook focuses on its practical applications and is ideal for graduate students in physics.

From Special Relativity to Feynman Diagrams

Author : Riccardo D'Auria,Mario Trigiante
Publisher : Springer
Page : 601 pages
File Size : 44,6 Mb
Release : 2015-10-06
Category : Science
ISBN : 9783319220147

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From Special Relativity to Feynman Diagrams by Riccardo D'Auria,Mario Trigiante Pdf

This book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added.

Quantum Field Theory and the Standard Model

Author : Matthew D. Schwartz
Publisher : Cambridge University Press
Page : 869 pages
File Size : 43,9 Mb
Release : 2014
Category : Science
ISBN : 9781107034730

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Quantum Field Theory and the Standard Model by Matthew D. Schwartz Pdf

A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.

Feynman's Thesis

Author : Richard Phillips Feynman,Laurie M. Brown
Publisher : World Scientific
Page : 142 pages
File Size : 46,7 Mb
Release : 2005
Category : Science
ISBN : 9789812563668

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Feynman's Thesis by Richard Phillips Feynman,Laurie M. Brown Pdf

Richard Feynman's never previously published doctoral thesis formed the heart of much of his brilliant and profound work in theoretical physics. Entitled ?The Principle of Least Action in Quantum Mechanics," its original motive was to quantize the classical action-at-a-distance electrodynamics. Because that theory adopted an overall space?time viewpoint, the classical Hamiltonian approach used in the conventional formulations of quantum theory could not be used, so Feynman turned to the Lagrangian function and the principle of least action as his points of departure.The result was the path integral approach, which satisfied ? and transcended ? its original motivation, and has enjoyed great success in renormalized quantum field theory, including the derivation of the ubiquitous Feynman diagrams for elementary particles. Path integrals have many other applications, including atomic, molecular, and nuclear scattering, statistical mechanics, quantum liquids and solids, Brownian motion, and noise theory. It also sheds new light on fundamental issues like the interpretation of quantum theory because of its new overall space?time viewpoint.The present volume includes Feynman's Princeton thesis, the related review article ?Space?Time Approach to Non-Relativistic Quantum Mechanics? [Reviews of Modern Physics 20 (1948), 367?387], Paul Dirac's seminal paper ?The Lagrangian in Quantum Mechanics'' [Physikalische Zeitschrift der Sowjetunion, Band 3, Heft 1 (1933)], and an introduction by Laurie M Brown.

Quantum Field Theory II: Quantum Electrodynamics

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 1125 pages
File Size : 51,5 Mb
Release : 2008-09-03
Category : Mathematics
ISBN : 9783540853770

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Quantum Field Theory II: Quantum Electrodynamics by Eberhard Zeidler Pdf

And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.

Elements of Advanced Quantum Theory

Author : J. M. Ziman
Publisher : Cambridge University Press
Page : 286 pages
File Size : 52,9 Mb
Release : 1969
Category : Science
ISBN : 0521099498

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Elements of Advanced Quantum Theory by J. M. Ziman Pdf

This textbook gives a connected mathematical derivation of the important mathematical results, concentrating on the central ideas without including elaborate detail or unnecessary rigour, and explaining in the simplest terms the symbols and concepts which confront the researcher in solid state, nuclear or high-energy physics.

Relativistic Quantum Mechanics and Field Theory

Author : Franz Gross
Publisher : John Wiley & Sons
Page : 643 pages
File Size : 43,7 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617340

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Relativistic Quantum Mechanics and Field Theory by Franz Gross Pdf

An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.