Pct Spin And Statistics And All That

Author : Raymond F. Streater,Arthur S. Wightman
Publisher : Princeton University Press
Page : 224 pages
File Size : 47,7 Mb
Release : 2016-08-11
Category : Science
ISBN : 9781400884230

Get Book

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 : R F Streater,A S Wightman
Publisher : Unknown
Page : 228 pages
File Size : 46,5 Mb
Release : 1978-01-21
Category : Mathematics
ISBN : MINN:319510005377930

Get Book

Pct, Spin And Statistics, And All That by R F Streater,A S Wightman Pdf

Author : R.F. Streater
Publisher : Springer Science & Business Media
Page : 169 pages
File Size : 46,7 Mb
Release : 2007-07-16
Category : Science
ISBN : 9783540365822

Get Book

Lost Causes in and beyond Physics by R.F. Streater Pdf

This book deals with a selection of research topics in theoretical physics that have (almost) been proven to be a dead-end or continue at least to be highly controversial. Nevertheless, small but dedicated research communities continue to work on these issues. In a series of essays this book describes their work and struggle as well as the chances of any breakthrough in these areas. It is written as both an entertainment and serious study.

Author : Luisa Cifarelli
Publisher : Springer Nature
Page : 192 pages
File Size : 46,7 Mb
Release : 2020-04-28
Category : Science
ISBN : 9783030235093

Get Book

Scientific Papers of Ettore Majorana by Luisa Cifarelli Pdf

This book presents in full the work of the Italian theoretical physicist Ettore Majorana and explains its impacts, which are still being felt. It opens with a contribution by A. Zichichi that considers in depth the scientific genius of Majorana. This introductory chapter is followed, in chronological order, by the eleven scientific papers by this great scientist, in most cases translated into English for the first time. Each paper is accompanied by a comment from an expert in the field in question. Although very few in number, Majorana's papers constitute a heritage of undeniable value and extraordinary scientific meaning, since they laid the foundations for research fields that remain topical today. With this in mind, two additional contributions on ongoing developments in these research fields are included: one on neutrino physics and the other on Majorana fermions in condensed matter. The volume closes with a note on Majorana's life until his ill-fated disappearance.

Author : Ian Duck,E C G Sudarshan
Publisher : World Scientific
Page : 524 pages
File Size : 43,8 Mb
Release : 1998-03-13
Category : Science
ISBN : 9789814497459

Get Book

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 : Jonathan Bain
Publisher : Oxford University Press
Page : 208 pages
File Size : 44,6 Mb
Release : 2016-04-08
Category : Science
ISBN : 9780191044557

Get Book

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

This book seeks to answer the question "What explains CPT invariance and the spin-statistics connection?" These properties play foundational roles in relativistic quantum field theories (RQFTs), are supported by high-precision experiments, and figure into explanations of a wide range of phenomena, from antimatter, to the periodic table of the elements, to superconductors and superfluids. They can be derived in RQFTs by means of the famous CPT and Spin-Statistics theorems; but, the author argues, these theorems cannot be said to explain these properties, at least under standard philosophical accounts of scientific explanation. This is because there are multiple, in some cases incompatible, ways of deriving these theorems, and, secondly, because the theorems fail for the types of theories that underwrite the empirical evidence: non-relativistic quantum theories, and realistic interacting RQFTs. The goal of this book is to work towards an understanding of CPT invariance and the spin-statistics connection by first providing an analysis of the necessary and sufficient conditions for these properties, and second by advocating a particular account of explanation appropriate for this context.

Author : Rudolf Haag
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642614583

Get Book

Local Quantum Physics by Rudolf Haag Pdf

The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.

Author : William Unruh,Ralf Schützhold
Publisher : Springer
Page : 306 pages
File Size : 44,6 Mb
Release : 2007-04-14
Category : Science
ISBN : 9783540708599

Get Book

Quantum Analogues: From Phase Transitions to Black Holes and Cosmology by William Unruh,Ralf Schützhold Pdf

Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. This book contains a series of selected lectures devoted to this new and rapidly developing field. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view.

Author : Michael E. Peskin
Publisher : CRC Press
Page : 866 pages
File Size : 48,6 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429983184

Get Book

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 : Huzihiro Araki
Publisher : Oxford University Press
Page : 254 pages
File Size : 51,6 Mb
Release : 1999-10-22
Category : Science
ISBN : 9780192539113

Get Book

Mathematical Theory of Quantum Fields by Huzihiro Araki Pdf

This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discuss the theory of special relativity, scattering theory, and sector theory in this context.

Author : Tommy Ohlsson
Publisher : Cambridge University Press
Page : 311 pages
File Size : 53,9 Mb
Release : 2011-09-22
Category : Science
ISBN : 9781139504324

Get Book

Relativistic Quantum Physics by Tommy Ohlsson Pdf

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

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 1125 pages
File Size : 40,8 Mb
Release : 2008-09-03
Category : Mathematics
ISBN : 9783540853770

Get Book

Quantum Field Theory II: Quantum Electrodynamics by Eberhard Zeidler Pdf

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

Author : Jakob Schwichtenberg
Publisher : No-Nonsense Books
Page : 642 pages
File Size : 54,6 Mb
Release : 2020-03-22
Category : Science
ISBN : 8210379456XXX

Get Book

No-Nonsense Quantum Field Theory by Jakob Schwichtenberg Pdf

Learning quantum field theory doesn’t have to be hard What if there were a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that No-Nonsense Quantum Field Theory now exists. What will you learn from this book? Get to know all fundamental concepts — Grasp what a quantum field is, why we use propagators to describe its behavior, and how Feynman diagrams help us to make sense of field interactions. Learn to describe quantum field theory mathematically — Understand the meaning and origin of the most important equations: the Klein-Gordon equation, the Dirac equation, the Proca equation, the Maxwell equations, and the canonical commutation/anticommutation relations. Master important quantum field theory interactions — Read fully annotated, step-by-step calculations and understand the general algorithm we use to particle interactions. Get an understanding you can be proud of —Learn about advanced topics like renormalization and regularization, spontaneous symmetry breaking, the renormalization group equations, non-perturbative phenomena, and effective field models. No-Nonsense Quantum Field Theory is one the most student-friendly book on quantum field theory ever written. Here’s why. First of all, it's nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”. Each chapter, each section, and each page focuses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each equation comes from. The book ruthlessly focuses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually. In each chapter, you’ll find fully annotated equations and calculations are done carefully step-by-step. This makes it much easier to understand what’s going on. Whenever a concept is used that was already introduced previously there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, there are summaries at the beginning of each chapter that make sure you won’t get lost.

Author : Bob Coecke
Publisher : Springer
Page : 1031 pages
File Size : 50,8 Mb
Release : 2011-01-15
Category : Science
ISBN : 9783642128219

Get Book

New Structures for Physics by Bob Coecke Pdf

This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

Author : E. B. Manoukian
Publisher : Springer Nature
Page : 520 pages
File Size : 46,8 Mb
Release : 2020-10-20
Category : Science
ISBN : 9783030510817

Get Book

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.