The Schwinger Action Principle And Its Applications To Quantum Mechanics

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The Development of the Action Principle

Author : Walter Dittrich
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.

Schwinger's Quantum Action Principle

Author : Kimball A. Milton
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.

Variational Principles in Dynamics and Quantum Theory

Author : Wolfgang Yourgrau
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

Selected Topics in Applications of Quantum Mechanics

Author : Mohammad Reza Pahlavani
Publisher : BoD – Books on Demand
ISBN 13 : 953512126X
Total Pages : 470 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Selected Topics in Applications of Quantum Mechanics by : Mohammad Reza Pahlavani

Download or read book Selected Topics in Applications of Quantum Mechanics written by Mohammad Reza Pahlavani and published by BoD – Books on Demand. This book was released on 2015-05-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.

Basic matters

Author : Berthold-Georg Englert
Publisher : World Scientific
ISBN 13 : 9812569707
Total Pages : 234 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Basic matters by : Berthold-Georg Englert

Download or read book Basic matters written by Berthold-Georg Englert and published by World Scientific. This book was released on 2006 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: ?The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade -- Dirac's kets and bras and so on -- is introduced early, and the temporal evolution is dealt with in a picture-free manner, with SchrOdinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics -- such as Dirac's formalism of kets and bras, SchrOdinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them -- can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter -- the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.

Advanced Signal Analysis and its Applications to Mathematical Physics

Author : Harish Parthasarathy
Publisher : Techsar Pvt. Ltd.
ISBN 13 : 9380026544
Total Pages : 708 pages
Book Rating : 4.3/5 (8 download)

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Book Synopsis Advanced Signal Analysis and its Applications to Mathematical Physics by : Harish Parthasarathy

Download or read book Advanced Signal Analysis and its Applications to Mathematical Physics written by Harish Parthasarathy and published by Techsar Pvt. Ltd.. This book was released on 2009-07-15 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical tools used in signal analysis involve differential and difference equations, integral equations, matrix algebra and calculus, complex analysis and probability theory and random processes. This book applies these tools to problems in various branches of physics like fluid dynamics, electromagnetism and quantum theory. The book will be of use to research workers in signal processing as well as to research workers in physics and applied mathematics. Partial differential equations have been introduced here as an additional tool in signal analysis since they are used to describe quantum, electromagnetic and fluid dynamical phenomena not to forget Einstein’s equations of gravitation. The book will be of use to signal processing experts who are interested in developing tools for the analysis of signals arising in real systems.

A Quantum Legacy

Author : Julian Schwinger
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.

A Birman-Schwinger Principle in Galactic Dynamics

Author : Markus Kunze
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.

Feynman's Thesis

Author : Richard Phillips Feynman
Publisher : World Scientific
ISBN 13 : 9812563660
Total Pages : 142 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Feynman's Thesis by : Richard Phillips Feynman

Download or read book Feynman's Thesis written by Richard Phillips Feynman and published by World Scientific. This book was released on 2005 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classical Electrodynamics

Author : Julian Schwinger
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.

Quantum Physics

Author : Roger G. Newton
Publisher : Springer Science & Business Media
ISBN 13 : 0387227415
Total Pages : 417 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Quantum Physics by : Roger G. Newton

Download or read book Quantum Physics written by Roger G. Newton and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops quantum theory from its basic assumptions, beginning with statics, followed by dynamics and details of applications and the needed computational techniques. Most of the book deals with particle systems, as that is where most of the applications lie; the treatment of quantum field theory is confined to fundamental ideas and their consequences.

Quantum Statistical Field Theory

Author : Norman J. M. Horing
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.

Simple systems

Author : Berthold-Georg Englert
Publisher : World Scientific
ISBN 13 : 9812569723
Total Pages : 214 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Simple systems by : Berthold-Georg Englert

Download or read book Simple systems written by Berthold-Georg Englert and published by World Scientific. This book was released on 2006 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade - Dirac's kets and bras and so on - is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrodinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics - such as Dirac's formalism of kets and bras, Schrodinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them - can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter - the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms."

An Introduction To Quantum Field Theory

Author : Michael E. Peskin
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.

Quantum Theory and Measurement

Author : John Archibald Wheeler
Publisher : Princeton University Press
ISBN 13 : 1400854555
Total Pages : 841 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Quantum Theory and Measurement by : John Archibald Wheeler

Download or read book Quantum Theory and Measurement written by John Archibald Wheeler and published by Princeton University Press. This book was released on 2014-07-14 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: The forty-nine papers collected here illuminate the meaning of quantum theory as it is disclosed in the measurement process. Together with an introduction and a supplemental annotated bibliography, they discuss issues that make quantum theory, overarching principle of twentieth-century physics, appear to many to prefigure a new revolution in science. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Condensed Matter Field Theory

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Geometric Approaches to Quantum Field Theory

Author : Kieran Finn
Publisher : Springer Nature
ISBN 13 : 3030852695
Total Pages : 212 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Geometric Approaches to Quantum Field Theory by : Kieran Finn

Download or read book Geometric Approaches to Quantum Field Theory written by Kieran Finn and published by Springer Nature. This book was released on 2021-10-07 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ancient Greeks believed that everything in the Universe should be describable in terms of geometry. This thesis takes several steps towards realising this goal by introducing geometric descriptions of systems such as quantum gravity, fermionic particles and the origins of the Universe itself. The author extends the applicability of previous work by Vilkovisky, DeWitt and others to include theories with spin 1⁄2 and spin 2 degrees of freedom. In addition, he introduces a geometric description of the potential term in a quantum field theory through a process known as the Eisenhart lift. Finally, the methods are applied to the theory of inflation, where they show how geometry can help answer a long-standing question about the initial conditions of the Universe. This publication is aimed at graduate and advanced undergraduate students and provides a pedagogical introduction to the exciting topic of field space covariance and the complete geometrization of quantum field theory.