Schwinger's Quantum Action Principle

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Publisher : Springer
ISBN 13 : 331920128X
Total Pages : 122 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Schwinger's Quantum Action Principle by : Kimball A. Milton

Download or read book Schwinger's Quantum Action Principle written by Kimball A. Milton and published by Springer. This book was released on 2015-06-12 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger’s Quantum Action Principle descended from Dirac’s formulation, which independently led Feynman to his path-integral formulation of quantum mechanics. Part I brings out in more detail the connection between the two formulations, and applications are discussed. Then, the Keldysh-Schwinger time-cycle method of extracting matrix elements is described. Part II will discuss the variational formulation of quantum electrodynamics and the development of source theory.

Schwinger's Quantum Action Principle

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Publisher :
ISBN 13 : 9783319201290
Total Pages : 122 pages
Book Rating : 4.2/5 (12 download)

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Book Synopsis Schwinger's Quantum Action Principle by : Kimball A. Milton

Download or read book Schwinger's Quantum Action Principle written by Kimball A. Milton and published by . This book was released on 2015 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger's Quantum Action Principle descended from Dirac's formulation, which independently led Feynman to his path-integral formulation of quantum mechanics. Part I brings out in more detail the connection between the two formulations, and applications are discussed. Then, the Keldysh-Schwinger time-cycle method of extracting matrix elements is described. Part II will discuss the variational formulation of quantum electrodynamics and the development of source theory.

The Schwinger Action Principle and Effective Action

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521876761
Total Pages : 0 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Schwinger Action Principle and Effective Action by : David J. Toms

Download or read book The Schwinger Action Principle and Effective Action written by David J. Toms and published by Cambridge University Press. This book was released on 2007-11-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the Schwinger action principle for graduate students and researchers in theoretical physics.

Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662045893
Total Pages : 488 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Quantum Mechanics by : Julian Schwinger

Download or read book Quantum Mechanics written by Julian Schwinger and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique legacy, these lecture notes of Schwinger’s course held at the University of California at Los Angeles were carefully edited by his former collaborator Berthold-Georg Englert and constitute both a self-contained textbook on quantum mechanics and an indispensable source of reference on this fundamental subject by one of the foremost thinkers of twentieth century physics.

The Development of the Action Principle

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Publisher : Springer Nature
ISBN 13 : 3030691055
Total Pages : 141 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis The Development of the Action Principle by : Walter Dittrich

Download or read book The Development of the Action Principle written by Walter Dittrich and published by Springer Nature. This book was released on 2021-05-29 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the historical development of the principle of stationary action from the 17th to the 20th centuries. Reference is made to the most important contributors to this topic, in particular Bernoullis, Leibniz, Euler, Lagrange and Laplace. The leading theme is how the action principle is applied to problems in classical physics such as hydrodynamics, electrodynamics and gravity, extending also to the modern formulation of quantum mechanics and quantum field theory, especially quantum electrodynamics. A critical analysis of operator versus c-number field theory is given. The book contains many worked examples. In particular, the term "vacuum" is scrutinized.The book is aimed primarily at actively working researchers, graduate students and historians interested in the philosophical interpretation and evolution of physics; in particular, in understanding the action principle and its application to a wide range of natural phenomena.

The Schwinger Action Principle and Its Applications to Quantum Mechanics

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Publisher :
ISBN 13 : 9789535110897
Total Pages : pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Schwinger Action Principle and Its Applications to Quantum Mechanics by : Paul Bracken

Download or read book The Schwinger Action Principle and Its Applications to Quantum Mechanics written by Paul Bracken and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Quantum Legacy

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Publisher : World Scientific
ISBN 13 : 9789810240066
Total Pages : 812 pages
Book Rating : 4.2/5 (4 download)

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Book Synopsis A Quantum Legacy by : Julian Schwinger

Download or read book A Quantum Legacy written by Julian Schwinger and published by World Scientific. This book was released on 2000 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: Julian Schwinger (1918-94) contributed to a broad range of topics in theoretical physics, from classical electrodynamics to quantum mechanics. This volume includes many of his most important papers.

The Schwinger Action Principle and Effective Action

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Publisher : Cambridge University Press
ISBN 13 : 9781107406308
Total Pages : 0 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis The Schwinger Action Principle and Effective Action by : David J. Toms

Download or read book The Schwinger Action Principle and Effective Action written by David J. Toms and published by Cambridge University Press. This book was released on 2012-08-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the Schwinger action principle in quantum mechanics and quantum field theory, with applications to a variety of different models including Bose-Einstein condensation, the Casimir effect, and trapped Fermi gases. The book begins with a brief review of the action principle in classical mechanics and classical field theory. It then moves on to quantum field theory, focusing on the effective action method. This is introduced as simply as possible by using the zero-point energy of the simple harmonic oscillator as the starting point. The book concludes with a more complete definition of the effective action, and demonstrates how the provisional definition used earlier is the first term in the systematic loop expansion. The renormalization of interacting scalar field theory is presented to two-loop order. This book will interest graduate students and researchers in theoretical physics who are familiar with quantum mechanics.

Variational Principles in Dynamics and Quantum Theory

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Publisher : Courier Corporation
ISBN 13 : 9780486637730
Total Pages : 222 pages
Book Rating : 4.6/5 (377 download)

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Book Synopsis Variational Principles in Dynamics and Quantum Theory by : Wolfgang Yourgrau

Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 1979-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historical, theoretical survey with many insights, much hard-to-find material. Covers Hamilton's principle, Hamilton-Jacobi equation, relationship to quantum theory and wave mechanics, and more.

Variational Principles in Dynamics and Quantum Theory

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Publisher : Courier Corporation
ISBN 13 : 0486151131
Total Pages : 222 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Variational Principles in Dynamics and Quantum Theory by : Wolfgang Yourgrau

Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 2012-04-26 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div

A Birman-Schwinger Principle in Galactic Dynamics

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Publisher : Springer Nature
ISBN 13 : 3030751864
Total Pages : 206 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis A Birman-Schwinger Principle in Galactic Dynamics by : Markus Kunze

Download or read book A Birman-Schwinger Principle in Galactic Dynamics written by Markus Kunze and published by Springer Nature. This book was released on 2021-08-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics. The opening chapters lay the framework for the main result through detailed treatments of nonrelativistic galactic dynamics and the Vlasov-Poisson system, the Antonov stability estimate, and the period function $T_1$. Then, as the main application, the Birman-Schwinger type principle is used to characterize in which cases the “best constant” in the Antonov stability estimate is attained. The final two chapters consider the relation to the Guo-Lin operator and invariance properties for the Vlasov-Poisson system, respectively. Several appendices are also included that cover necessary background material, such as spherically symmetric models, action-angle variables, relevant function spaces and operators, and some aspects of Kato-Rellich perturbation theory. A Birman-Schwinger Principle in Galactic Dynamics will be of interest to researchers in galactic dynamics, kinetic theory, and various aspects of quantum mechanics, as well as those in related areas of mathematical physics and applied mathematics.

The Principle of Least Action

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Publisher : Cambridge University Press
ISBN 13 : 0521869021
Total Pages : 269 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Principle of Least Action by : Alberto G. Rojo

Download or read book The Principle of Least Action written by Alberto G. Rojo and published by Cambridge University Press. This book was released on 2018-03-29 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text brings history and the key fields of physics together to present a unique technical discussion of the principles of least action.

Quantum Statistical Field Theory

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Publisher : Oxford University Press
ISBN 13 : 0198791941
Total Pages : 453 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Quantum Statistical Field Theory by : Norman J. M. Horing

Download or read book Quantum Statistical Field Theory written by Norman J. M. Horing and published by Oxford University Press. This book was released on 2017 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods of coupled quantum field theory, which have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics, are at the core of this book.

Classical Electrodynamics

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Publisher : CRC Press
ISBN 13 : 0429972091
Total Pages : 592 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Classical Electrodynamics by : Julian Schwinger

Download or read book Classical Electrodynamics written by Julian Schwinger and published by CRC Press. This book was released on 2019-05-20 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Electrodynamics captures Schwinger's inimitable lecturing style, in which everything flows inexorably from what has gone before. Novel elements of the approach include the immediate inference of Maxwell's equations from Coulomb's law and (Galilean) relativity, the use of action and stationary principles, the central role of Green's functions both in statics and dynamics, and, throughout, the integration of mathematics and physics. Thus, physical problems in electrostatics are used to develop the properties of Bessel functions and spherical harmonics. The latter portion of the book is devoted to radiation, with rather complete treatments of synchrotron radiation and diffraction, and the formulation of the mode decomposition for waveguides and scattering. Consequently, the book provides the student with a thorough grounding in electrodynamics in particular, and in classical field theory in general, subjects with enormous practical applications, and which are essential prerequisites for the study of quantum field theory.An essential resource for both physicists and their students, the book includes a ?Reader's Guide,? which describes the major themes in each chapter, suggests a possible path through the book, and identifies topics for inclusion in, and exclusion from, a given course, depending on the instructor's preference. Carefully constructed problems complement the material of the text, and introduce new topics. The book should be of great value to all physicists, from first-year graduate students to senior researchers, and to all those interested in electrodynamics, field theory, and mathematical physics.The text for the graduate classical electrodynamics course was left unfinished upon Julian Schwinger's death in 1994, but was completed by his coauthors, who have brilliantly recreated the excitement of Schwinger's novel approach.

An Introduction To Quantum Field Theory

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Publisher : CRC Press
ISBN 13 : 0429983182
Total Pages : 866 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Topics in Quantum Field Theory

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (862 download)

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Book Synopsis Topics in Quantum Field Theory by : T. W. B. Kibble

Download or read book Topics in Quantum Field Theory written by T. W. B. Kibble and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter of this thesis falls into two distinct parts. Chapters II to IV are devoted to a discussion of Schwinger's action principle, and chapters V and VI are concerned with the proof of dispersion relations for inelastic meson-nucleon scattering. The material of chapter II is based on some work done in collaboration with Dr. J.C. Polkinghorne, which has been published (Kibble and Polkinghorne 1957). This work was concerned with the clarification of certain points connected with the class of permissible variations in Schwinger's principle. There are, however, substantial changes in the present treatment, principally deriving from the introduction, in section II-5, of the concept of relative phases. This chapter is restricted to the case of non-relativistic quantum theory, and the discussion is extended to relativistic quantum field theory in chapter III. These chapters are devoted to a reformulation of Schwinger's action principle, and an investigation of the consequences of the new form of the action principle. Some of this material is necessarily contained in the work of Schwinger (1951, 1953a), but the treatment differs from his in several important respects. These are discussed in greater detail in section 2. Chapter IV is devoted to a discussion of higher order spinor Lagrangians, with particular reference to the use of a two-component field satisfying a second-order equation rather than a four-component spinor satisfying a first-order equation. This procedure has been suggested by Feynman and Gell-Mann (1958) in connection with their universal Fermi interaction. The work presented in this chapter was done jointly with Dr. J.C. Polkinghorne, and has been published (Kibble and Polkinghorne 1958). Chapters V and VI are devoted to a proof of the dispersion relations for the process in which a single meson is scattered on a nucleon into a state with several mesons. The proof follows the general lines of that by Bogolyubov, Medvedev and Polivanov (1956) for the case of elastic meson-nucleon scattering, This work has also been published (Kibble 1958). The notation employed in the thesis is summarized in appendix A. Appendix B is devoted to a discussion of consistency conditions on the Lagrangian function. The chapter number is omitted in references to sections or equations, except in the case of cross references between chapters.

The Global Approach to Quantum Field Theory

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Publisher :
ISBN 13 : 9780198712879
Total Pages : 1053 pages
Book Rating : 4.7/5 (128 download)

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Book Synopsis The Global Approach to Quantum Field Theory by : Bryce Seligman DeWitt

Download or read book The Global Approach to Quantum Field Theory written by Bryce Seligman DeWitt and published by . This book was released on 2003 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: