Diverse Topics In Theoretical And Mathematical Physics

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Diverse Topics in Theoretical and Mathematical Physics

Author : Roman W. Jackiw
Publisher : World Scientific
ISBN 13 : 9789810216979
Total Pages : 528 pages
Book Rating : 4.2/5 (169 download)

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Book Synopsis Diverse Topics in Theoretical and Mathematical Physics by : Roman W. Jackiw

Download or read book Diverse Topics in Theoretical and Mathematical Physics written by Roman W. Jackiw and published by World Scientific. This book was released on 1995 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects. These include geometricalDtopological effects in quantum theory, fractional charge, time travel, relativistic quantized fields in and out of thermal equilibrium and quantum modifications of symmetry in physical systems.Many readers will find this a useful volume, especially theoretical physicists and mathematicians. The material will be of interest to both the expert who will find well-presented novel and stimulating viewpoints of various subjects and the novice who will find complete, detailed and precise descriptions of important topics of current interest, in theoretical and mathematical physics.

Diverse Topics in Theoretical and Mathematical Physics

Author : Roman Jackiw
Publisher : World Scientific
ISBN 13 : 9814502235
Total Pages : 524 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Diverse Topics in Theoretical and Mathematical Physics by : Roman Jackiw

Download or read book Diverse Topics in Theoretical and Mathematical Physics written by Roman Jackiw and published by World Scientific. This book was released on 1995-06-29 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects. These include geometricalDtopological effects in quantum theory, fractional charge, time travel, relativistic quantized fields in and out of thermal equilibrium and quantum modifications of symmetry in physical systems. Many readers will find this a useful volume, especially theoretical physicists and mathematicians. The material will be of interest to both the expert who will find well-presented novel and stimulating viewpoints of various subjects and the novice who will find complete, detailed and precise descriptions of important topics of current interest, in theoretical and mathematical physics. Contents:Anomalies and Fractional Charge:Non-Canonical Behavior in Canonical TheoriesQuantum Mechanical Symmetry BreakingDelta Function Potentials in Two- and Three-Dimensional Quantum MechanicsUpdate on Anomalous TheoriesFermion FractionizationThe Chiral AnomalyGauge Theories and Gravity: Yang-Mills Vacuum as a Bloch WaveBifurcation and Stability in Yang-Mills Theory with SourcesTopological Structures in the Standard Model at High TPlanar GravityTime Travel?Gauge Theories for Gravity on a LineSymmetry Behavior:Introducing Scale SymmetryHidden Symmetry of Magnetic Point Monopole and VortexInvariance, Symmetry and Periodicity in Gauge TheoriesSymmetry Restoration at Finite TemperatureMean Field Theory for Non-Equilibrium Quantum FieldsApproaches to Quantum Theories Following Dirac:Canonical Light-Cone Commutators and Their ApplicationsInvariant Quantization, Scale Symmetry and Euclidean Field Theory(Constrained) Quantization Without TearsAnalysis on Infinite-Dimensional Manifolds — Schrödinger Representation for Quantized FieldsSolitons, Instantons and Semi-Classical Quantum Field Theory:Non-Perturbative and Topological Methods in Quantum Field TheorySelf-Dual Chern-Simons Solitions Readership: Theoretical physicists and mathematicians. keywords:Anomalies;Fractional Charge;YangâMills Theory;Gauge Theory of Gravity;Symmetry;Light-Cone Commutatorsconstrained;Quantizationsolitons;Instantons;ChernâSimons Theoriy;Gravity-in the Plane;On a Line;Schrodinger Representation for Field Theory “Altogether this collection of articles provide in one place a valuable and very comprehensive source for understanding quantum field theory, and quantum mechanics, which I would recommend not just for libraries but also for penurious PhD students. It deserves to stand next to the well known collection of articles by Sidney Coleman which added greatly to the understanding of a generation of theoretical physicists.” Contemporary Physics

Mathematical Physics

Author : Sadri Hassani
Publisher : Springer Science & Business Media
ISBN 13 : 9780387985794
Total Pages : 1052 pages
Book Rating : 4.9/5 (857 download)

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Book Synopsis Mathematical Physics by : Sadri Hassani

Download or read book Mathematical Physics written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2002-02-08 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt: For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Quantum Field Theory II: Quantum Electrodynamics

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 3540853774
Total Pages : 1125 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Quantum Field Theory II: Quantum Electrodynamics by : Eberhard Zeidler

Download or read book Quantum Field Theory II: Quantum Electrodynamics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 1125 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Field Theory and Gravity

Author : Felix Finster
Publisher : Springer Science & Business Media
ISBN 13 : 3034800436
Total Pages : 382 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Quantum Field Theory and Gravity by : Felix Finster

Download or read book Quantum Field Theory and Gravity written by Felix Finster and published by Springer Science & Business Media. This book was released on 2012-02-08 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Topics in Quantum Mechanics

Author : Floyd L. Williams
Publisher : Birkhauser
ISBN 13 : 9783764343118
Total Pages : 396 pages
Book Rating : 4.3/5 (431 download)

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Book Synopsis Topics in Quantum Mechanics by : Floyd L. Williams

Download or read book Topics in Quantum Mechanics written by Floyd L. Williams and published by Birkhauser. This book was released on 2003 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods For Physics

Author : H. W. Wyld
Publisher : CRC Press
ISBN 13 : 0429978642
Total Pages : 296 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Mathematical Methods For Physics by : H. W. Wyld

Download or read book Mathematical Methods For Physics written by H. W. Wyld and published by CRC Press. This book was released on 2018-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

New Topics in Theoretical Physics

Author : Henk F. Arnoldus
Publisher : Nova Publishers
ISBN 13 : 9781600213557
Total Pages : 100 pages
Book Rating : 4.2/5 (135 download)

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Book Synopsis New Topics in Theoretical Physics by : Henk F. Arnoldus

Download or read book New Topics in Theoretical Physics written by Henk F. Arnoldus and published by Nova Publishers. This book was released on 2007 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the various branches of physics differ in their experimental methods and theoretical approaches, certain general principles apply to all of them. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e: quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). This book presents state-of-the-art research from around the world.

Developments in Mathematical and Conceptual Physics

Author : Harish Parthasarathy
Publisher : Springer Nature
ISBN 13 : 9811550581
Total Pages : 454 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Developments in Mathematical and Conceptual Physics by : Harish Parthasarathy

Download or read book Developments in Mathematical and Conceptual Physics written by Harish Parthasarathy and published by Springer Nature. This book was released on 2020-06-22 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents concepts of theoretical physics with engineering applications. The topics are of an intense mathematical nature involving tools like probability and random processes, ordinary and partial differential equations, linear algebra and infinite-dimensional operator theory, perturbation theory, stochastic differential equations, and Riemannian geometry. These mathematical tools have been applied to study problems in mechanics, fluid dynamics, quantum mechanics and quantum field theory, nonlinear dynamical systems, general relativity, cosmology, and electrodynamics. A particularly interesting topic of research interest developed in this book is the design of quantum unitary gates of large size using the Feynman diagrammatic approach to quantum field theory. Through this book, the reader will be able to observe how basic physics can revolutionize technology and also how diverse branches of mathematical physics like large deviation theory, quantum field theory, general relativity, and electrodynamics have many common issues that provide the starting point for unifying the whole of physics, namely in the formulation of Grand Unified Theories (GUTS).

Theoretical and Mathematical Physics

Author : Steeb Willi-hans
Publisher : World Scientific
ISBN 13 : 9813275391
Total Pages : 736 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Theoretical and Mathematical Physics by : Steeb Willi-hans

Download or read book Theoretical and Mathematical Physics written by Steeb Willi-hans and published by World Scientific. This book was released on 2018-08-23 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.

Quantum Field Theory

Author : Eberhard Zeidler
Publisher : Springer
ISBN 13 : 9783662500941
Total Pages : 1076 pages
Book Rating : 4.5/5 (9 download)

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Book Synopsis Quantum Field Theory by : Eberhard Zeidler

Download or read book Quantum Field Theory written by Eberhard Zeidler and published by Springer. This book was released on 2016-04 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which is beyond the usual curriculum in physics. It is the author's goal to present the state of the art of realizing Einstein's dream of a unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction). From the reviews: " Quantum field theory is one of the great intellectual edifices in the history of human thought. This volume differs from other books on quantum field theory in its greater emphasis on the interaction of physics with mathematics. an impressive work of scholarship." (William G. Faris, SIAM Review, Vol. 50 (2), 2008) " it is a fun book for practicing quantum field theorists to browse, and it may be similarly enjoyed by mathematical colleagues. Its ultimate value may lie in encouraging students to enter this challenging interdisciplinary area of mathematics and physics. Summing Up: Recommended. Upper-division undergraduates through faculty." (M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007)"

Mathematical Physics 2000

Author : A Fokas
Publisher : World Scientific
ISBN 13 : 1783261714
Total Pages : 336 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Mathematical Physics 2000 by : A Fokas

Download or read book Mathematical Physics 2000 written by A Fokas and published by World Scientific. This book was released on 2000-05-05 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics — superstring theory, for example, has led to remarkable progress in geometry — while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics. Contents: Modern Mathematical Physics: What It Should Be (L D Faddeev)New Applications of the Chiral Anomaly (J Fröhlich & B Pedrini)Fluctuations and Entropy Driven Space–Time Intermittency in Navier–Stokes Fluids (G Gallavotti)Superstrings and the Unification of the Physical Forces (M B Green)Questions in Quantum Physics: A Personal View (R Haag)What Good are Quantum Field Theory Infinities? (R Jackiw)Constructive Quantum Field Theory (A Jaffe)Fourier's Law: A Challenge to Theorists (F Bonetto et al.)The “Corpuscular” Structure of the Spectra of Operators Describing Large Systems (R A Minlos)Vortex- and Magneto-Dynamics — A Topological Perspective (H K Moffatt)Gauge Theory: The Gentle Revolution (L O'Raifeartaigh)Random Matrices as Paradigm (L Pastur)Wavefunction Collapse as a Real Gravitational Effect (R Penrose)Schrödinger Operators in the Twenty-First Century (B Simon)The Classical Three-Body Problem — Where is Abstract Mathematics, Physical Intuition, Computational Physics Most Powerful? (H A Posch & W Thirring)Infinite Particle Systems and Their Scaling Limits (S R S Varadhan)Supersymmetry: A Personal View (B Zumino) Readership: Mathematicians and physicists. Keywords:London (GB);Proceedings;Congress;Mathematical Physics

Theoretical Physics

Author : Georg Joos
Publisher : Courier Corporation
ISBN 13 : 0486652270
Total Pages : 930 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Theoretical Physics by : Georg Joos

Download or read book Theoretical Physics written by Georg Joos and published by Courier Corporation. This book was released on 1986-01-01 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the finest, most comprehensive treatments of theoretical physics ever written, this classic volume comprises a superb introduction to the main branches of the discipline and offers solid grounding for further research in a variety of fields. Students will find no better one-volume coverage of so many essential topics; moreover, since its first publication, the book has been substantially revised and updated with additional material on Bessel functions, spherical harmonics, superconductivity, elastomers, and other subjects. The first four chapters review mathematical topics needed by theoretical and experimental physicists (vector analysis, mathematical representation of periodic phenomena, theory of vibrations and waves, theory of functions of a complex variable, the calculus of variations, and more). This material is followed by exhaustive coverage of mechanics (including elasticity and fluid mechanics, as well as relativistic mechanics), a highly detailed treatment of electromagnetic theory, and thorough discussions of thermodynamics, kinetic theory and statistical mechanics, quantum mechanics and nuclear physics. Now available for the first time in paperback, this wide-ranging overview also contains an extensive 40-page appendix which provides detailed solutions to the numerous exercises included throughout the text. Although first published over 50 years ago, the book remains a solid, comprehensive survey, so well written and carefully planned that undergraduates as well as graduate students of theoretical and experimental physics will find it an indispensable reference they will turn to again and again.

Quantum Field Theory in a Nutshell

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 1400835321
Total Pages : 608 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Quantum Field Theory in a Nutshell by : A. Zee

Download or read book Quantum Field Theory in a Nutshell written by A. Zee and published by Princeton University Press. This book was released on 2010-02-01 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University

Topics in Operator Theory

Author : Joseph A. Ball
Publisher : Springer Science & Business Media
ISBN 13 : 3034601611
Total Pages : 446 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Topics in Operator Theory by : Joseph A. Ball

Download or read book Topics in Operator Theory written by Joseph A. Ball and published by Springer Science & Business Media. This book was released on 2011-02-03 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Some Unusual Topics in Quantum Mechanics

Author : Pankaj Sharan
Publisher : Springer Nature
ISBN 13 : 3030604187
Total Pages : 115 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Some Unusual Topics in Quantum Mechanics by : Pankaj Sharan

Download or read book Some Unusual Topics in Quantum Mechanics written by Pankaj Sharan and published by Springer Nature. This book was released on 2020-10-27 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author addresses selected topics in quantum mechanics that are not usually covered in books, but which are very helpful in developing a student's interest in, and a deeper understanding of the subject. The topics include two different ways of looking at quantum mechanics; three clarifying topics that students often find confusing; one classic theorem never proved in the classroom; and a discussion on whether there can be a non-linear quantum mechanics. The book can be used as supporting material for graduate-level core courses on quantum mechanics.

Many-Body Problems and Quantum Field Theory

Author : Philippe-André Martin
Publisher : Springer
ISBN 13 : 9783642059650
Total Pages : 0 pages
Book Rating : 4.0/5 (596 download)

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Book Synopsis Many-Body Problems and Quantum Field Theory by : Philippe-André Martin

Download or read book Many-Body Problems and Quantum Field Theory written by Philippe-André Martin and published by Springer. This book was released on 2010-12-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a substantially new treatment of nucleon pairing.