Pauli And The Spin Statistics Theorem

Author : Ian Duck,E C G Sudarshan
Publisher : World Scientific
Page : 524 pages
File Size : 52,9 Mb
Release : 1998-03-13
Category : Science
ISBN : 9789814497459

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Pauli and the Spin-Statistics Theorem by Ian Duck,E C G Sudarshan Pdf

This book makes broadly accessible an understandable proof of the infamous spin-statistics theorem. This widely known but little-understood theorem is intended to explain the fact that electrons obey the Pauli exclusion principle. This fact, in turn, explains the periodic table of the elements and their chemical properties. Therefore, this one simply stated fact is responsible for many of the principal features of our universe, from chemistry to solid state physics to nuclear physics to the life cycle of stars. In spite of its fundamental importance, it is only a slight exaggeration to say that “everyone knows the spin-statistics theorem, but no one understands it”. This book simplifies and clarifies the formal statements of the theorem, and also corrects the invariably flawed intuitive explanations which are frequently put forward. The book will be of interest to many practising physicists in all fields who have long been frustrated by the impenetrable discussions on the subject which have been available until now. It will also be accessible to students at an advanced undergraduate level as an introduction to modern physics based directly on the classical writings of the founders, including Pauli, Dirac, Heisenberg, Einstein and many others. Contents:The Historic Era:Discovery of the Exclusion PrincipleThe Discovery of the Electron SpinBose–Einstein StatisticsWave Function of States of Many Identical ParticlesFermi-Dirac StatisticsDirac's Invention of Quantum Field TheoryThe Jordan-Wigner Invention of Anticommutation for Fermi-DiracFrom Hole Theory to PositronsThe Pauli Era:Pauli's First Proof of the Spin-Statistics TheoremFierz's Proof of the Spin-Statistics TheoremBelinfante's Proof of the Spin-Statistics TheoremdeWet's Proof Based on Canonical Field TheoryPauli's Proof of the Spin-Statistics TheoremThe Wightman-Schwinger Era:Feynman's Proof and Pauli's CriticismSchwinger's Proof from Time Reversal InvarianceThe Proofs of Lüders and Zumino, and of BurgoyneThe Hall–Wightman TheoremSchwinger, Euclidean Field Theory, Source Theory, and the Spin-Statistics ConnectionThe Contemporary Era:Responses to Neuenschwander's Question. Evaluation of Intuitive Proofs of the Spin-Statistics TheoremOverview and Epilog Readership: Physicists, mathematical physicists and chemical physicists. keywords: “The reviewer recommends the book as a good starting point for the student who wishes to acquire an understanding of the Spin-Statistics Connection both in its historical context and in the present state of knowledge.” American Journal of Physics

Author : Ian Duck,Wolfgang Pauli,E. C. G. Sudarshan
Publisher : World Scientific
Page : 528 pages
File Size : 43,9 Mb
Release : 1997
Category : Science
ISBN : 9810231148

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Pauli and the Spin-statistics Theorem by Ian Duck,Wolfgang Pauli,E. C. G. Sudarshan Pdf

This book makes broadly accessible an understandable proof of the infamous spin-statistics theorem. This widely known but little-understood theorem is intended to explain the fact that electrons obey the Pauli exclusion principle. This fact, in turn, explains the periodic table of the elements and their chemical properties. Therefore, this one simply stated fact is responsible for many of the principal features of our universe, from chemistry to solid state physics to nuclear physics to the life cycle of stars.In spite of its fundamental importance, it is only a slight exaggeration to say that ?everyone knows the spin-statistics theorem, but no one understands it?. This book simplifies and clarifies the formal statements of the theorem, and also corrects the invariably flawed intuitive explanations which are frequently put forward.The book will be of interest to many practising physicists in all fields who have long been frustrated by the impenetrable discussions on the subject which have been available until now. It will also be accessible to students at an advanced undergraduate level as an introduction to modern physics based directly on the classical writings of the founders, including Pauli, Dirac, Heisenberg, Einstein and many others.

Author : Ennackel Chandy George Sudarshan,Ian Duck
Publisher : Unknown
Page : 512 pages
File Size : 55,9 Mb
Release : 1997
Category : Electronic
ISBN : OCLC:247371232

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Pauli and the Spin-statistics Theorem by Ennackel Chandy George Sudarshan,Ian Duck Pdf

Author : Daniel Greenberger,Klaus Hentschel,Friedel Weinert
Publisher : Springer Science & Business Media
Page : 901 pages
File Size : 53,7 Mb
Release : 2009-07-25
Category : Science
ISBN : 9783540706267

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Compendium of Quantum Physics by Daniel Greenberger,Klaus Hentschel,Friedel Weinert Pdf

With contributions by leading quantum physicists, philosophers and historians, this comprehensive A-to-Z of quantum physics provides a lucid understanding of key concepts of quantum theory and experiment. It covers technical and interpretational aspects alike, and includes both traditional and new concepts, making it an indispensable resource for concise, up-to-date information about the many facets of quantum physics.

Author : Michela Massimi
Publisher : Cambridge University Press
Page : 244 pages
File Size : 55,8 Mb
Release : 2005-08-04
Category : Science
ISBN : 1139445928

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Pauli's Exclusion Principle by Michela Massimi Pdf

There is hardly another principle in physics with wider scope of applicability and more far-reaching consequences than Pauli's exclusion principle. This book explores the principle's origin in the atomic spectroscopy of the early 1920s, its subsequent embedding into quantum mechanics, and later experimental validation with the development of quantum chromodynamics. The reconstruction of this crucial historic episode provides an excellent foil to reconsider Kuhn's view on incommensurability. The author defends the prospective rationality of the revolutionary transition from the old to the new quantum theory around 1925 by focusing on the way Pauli's principle emerged as a phenomenological rule 'deduced' from some anomalous phenomena and theoretical assumptions of the old quantum theory. The subsequent process of validation is historically reconstructed and analysed within the framework of 'dynamic Kantianism'. The variety of themes skilfully interwoven in this book will appeal to philosophers, historians, scientists and anyone interested in philosophy.

Author : Raymond F. Streater,Arthur S. Wightman
Publisher : Princeton University Press
Page : 224 pages
File Size : 52,7 Mb
Release : 2016-08-11
Category : Science
ISBN : 9781400884230

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PCT, Spin and Statistics, and All That by Raymond F. Streater,Arthur S. Wightman Pdf

PCT, Spin and Statistics, and All That is the classic summary of and introduction to the achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical responses to questions like: What is a quantized field? What are the physically indispensable attributes of a quantized field? Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical consequences of the axioms. Here Raymond Streater and Arthur Wightman treat only results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.

Author : Mark Srednicki
Publisher : Cambridge University Press
Page : 664 pages
File Size : 49,5 Mb
Release : 2007-01-25
Category : Science
ISBN : 9781139462761

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Quantum Field Theory by Mark Srednicki Pdf

Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.

Author : Jonathan Bain
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2016
Category : Coherence (Nuclear physics)
ISBN : 0191795542

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CPT Invariance and the Spin-statistics Connection by Jonathan Bain Pdf

This is a text on the philosophy of quantum field theory dealing with the question 'What explains CPT invariance and the spin-statistics connection?'. These properties play foundational roles in relativistic quantum field theories and figure into explanations of a wide range of phenomena, from antimatter, to the periodic table, to superfluids.

Author : Michael E. Peskin
Publisher : CRC Press
Page : 866 pages
File Size : 53,6 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429983184

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An Introduction To Quantum Field Theory by Michael E. Peskin Pdf

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.

Author : Ilya G. Kaplan
Publisher : John Wiley & Sons
Page : 250 pages
File Size : 44,9 Mb
Release : 2017-01-17
Category : Science
ISBN : 9781118795323

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The Pauli Exclusion Principle by Ilya G. Kaplan Pdf

This is the first scientic book devoted to the Pauli exclusion principle, which is a fundamental principle of quantum mechanics and is permanently applied in chemistry, physics, and molecular biology. However, while the principle has been studied for more than 90 years, rigorous theoretical foundations still have not been established and many unsolved problems remain. Following a historical survey in Chapter 1, the book discusses the still unresolved questions around this fundamental principle. For instance, why, according to the Pauli exclusion principle, are only symmetric and antisymmetric permutation symmetries for identical particles realized, while the Schrödinger equation is satisfied by functions with any permutation symmetry? Chapter 3 covers possible answers to this question. The construction of function with a given permutation symmetry is described in the previous Chapter 2, while Chapter 4 presents effective and elegant methods for finding the Pauli-allowed states in atomic, molecular, and nuclear spectroscopy. Chapter 5 discusses parastatistics and fractional statistics, demonstrating that the quasiparticles in a periodical lattice, including excitons and magnons, are obeying modified parafermi statistics. With detailed appendices, The Pauli Exclusion Principle: Origin, Verifications, and Applications is intended as a self-sufficient guide for graduate students and academic researchers in the fields of chemistry, physics, molecular biology and applied mathematics. It will be a valuable resource for any reader interested in the foundations of quantum mechanics and its applications, including areas such as atomic and molecular spectroscopy, spintronics, theoretical chemistry, and applied fields of quantum information.

Author : Paul F. Kisak
Publisher : Createspace Independent Publishing Platform
Page : 298 pages
File Size : 40,9 Mb
Release : 2016-01-04
Category : Electronic
ISBN : 1523261757

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The Fermion by Paul F. Kisak Pdf

In particle physics, a fermion (a name coined by Paul Dirac from the surname of Enrico Fermi) is any particle characterized by Fermi-Dirac statistics. These particles obey the Pauli exclusion principle. Fermions include all quarks and leptons, as well as any composite particle made of an odd number of these, such as all baryons and many atoms and nuclei. Fermions differ from bosons, which obey Bose-Einstein statistics. A fermion can be an elementary particle, such as the electron, or it can be a composite particle, such as the proton. According to the spin-statistics theorem in any reasonable relativistic quantum field theory, particles with integer spin are bosons, while particles with half-integer spin are fermions. Besides this spin characteristic, fermions have another specific property: they possess conserved baryon or lepton quantum numbers. Therefore what is usually referred as the spin statistics relation is in fact a spin statistics-quantum number relation. As a consequence of the Pauli exclusion principle, only one fermion can occupy a particular quantum state at any given time. If multiple fermions have the same spatial probability distribution, then at least one property of each fermion, such as its spin, must be different. Fermions are usually associated with matter, whereas bosons are generally force carrier particles, although in the current state of particle physics the distinction between the two concepts is unclear. Weakly interacting fermions can also display bosonic behavior under extreme conditions. At low temperature fermions show superfluidity for uncharged particles and superconductivity for charged particles. Composite fermions, such as protons and neutrons, are the key building blocks of everyday matter.

Author : E. B. Manoukian
Publisher : Springer Nature
Page : 520 pages
File Size : 41,7 Mb
Release : 2020-10-20
Category : Science
ISBN : 9783030510817

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100 Years of Fundamental Theoretical Physics in the Palm of Your Hand by E. B. Manoukian Pdf

This book aims to integrate, in a pedagogical and technical manner, with detailed derivations, all essential principles of fundamental theoretical physics as developed over the past 100 years. It covers: Quantum physics and Stability Problems in the Quantum World, Minkowski Spacetime Physics Particle Classifications and Underlying Symmetries, Symmetry Violations, Quantum Field Theory of Particle Interactions, Higgs Field Physics, Supersymmetry: A Theory with Mathematical Beauty Superstrings, Gravity and Supergravity, General Relativity Predictions, including Frame Dragging, Intricacies of Black Hole Physics, Perturbative and Non-perturbative Quantum Gravity Intricacies of Modern Cosmology, including Inflation and Power Spectrum If you are in the process of learning, or are lecturing on, any of the subjects above, then this is your book - irrespective of your specialty. With over-specialization and no time to master all the fields given above, students, and perhaps many physicists, may find it difficult to keep up with all the exciting developments going on, and are even less familiar with their underlying technicalities: e.g. they might have heard that the Universe is 13.8 billion years old, but have no idea on how this number is actually computed. This unique book will be of great value to graduate students, instructors and researchers interested in the intricacies and derivations of the many aspects of modern fundamental theoretical physics. And, although a graduate level book, some chapters may also be suitable for advanced undergraduates in their final year.

Author : Sam Treiman,Roman Jackiw
Publisher : Princeton University Press
Page : 550 pages
File Size : 40,9 Mb
Release : 2014-07-14
Category : Science
ISBN : 9781400854561

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Current Algebra and Anomalies by Sam Treiman,Roman Jackiw Pdf

Current algebra remains our most successful analysis of fundamental particle interactions. This collection of surveys on current algebra and anomalies is a successor volume to Lectures on Current Algebra and Its Applications (Princeton Series in Physics, 1972). Originally published in 1986. 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.

Author : Peter J. O'Donnell
Publisher : World Scientific
Page : 205 pages
File Size : 43,6 Mb
Release : 2003
Category : Science
ISBN : 9789812383075

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Introduction to 2-spinors in General Relativity by Peter J. O'Donnell Pdf

This book deals with 2-spinors in general relativity, beginning by developing spinors in a geometrical way rather than using representation theory, which can be a little abstract. This gives the reader greater physical intuition into the way in which spinors behave. The book concentrates on the algebra and calculus of spinors connected with curved space-time. Many of the well-known tensor fields in general relativity are shown to have spinor counterparts. An analysis of the Lanczos spinor concludes the book, and some of the techniques so far encountered are applied to this. Exercises play an important role throughout and are given at the end of each chapter.

Author : Tam s Vicsek
Publisher : World Scientific
Page : 542 pages
File Size : 50,6 Mb
Release : 1992
Category : Mathematics
ISBN : 9810206682

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Fractal Growth Phenomena by Tam s Vicsek Pdf

The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.