The Fermion

The Fermion
Author: Paul F. Kisak
Publisher: Createspace Independent Publishing Platform
Total Pages: 298
Release: 2016-01-04
Genre:
ISBN: 9781523261758

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.

Algebraic and Diagrammatic Methods in Many-Fermion Theory

Algebraic and Diagrammatic Methods in Many-Fermion Theory
Author: Frank E. Harris
Publisher: Courier Dover Publications
Total Pages: 418
Release: 2020-01-15
Genre: Psychology
ISBN: 0486837211

This text on the use of electron correlation effects in the description of the electronic structure of atoms, molecules, and crystals is intended for graduate students in physical chemistry and physics. Modern theories of electronic structure and methods of incorporating electron correlation contributions are developed using a diagrammatic and algebraic formulation, and the methods developed in the text are illustrated with examples from molecular and solid state quantum mechanics. A brief Introduction is followed by chapters on operator algebra, the independent-particle model, occupation-number formalism, and diagrams. Additional topics include the configuration-interaction method, the many-body perturbation theory, and the coupled-cluster method.

Quantum Field Theory and Condensed Matter

Quantum Field Theory and Condensed Matter
Author: Ramamurti Shankar
Publisher: Cambridge University Press
Total Pages: 557
Release: 2017-08-31
Genre: Science
ISBN: 1108363989

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

The Kondo Problem to Heavy Fermions

The Kondo Problem to Heavy Fermions
Author: Alexander Cyril Hewson
Publisher: Cambridge University Press
Total Pages: 476
Release: 1997-04-28
Genre: Science
ISBN: 9780521599474

The behaviour of magnetic impurities in metals has posed problems to challenge the condensed matter theorist over the past 30 years. This book deals with the concepts and techniques which have been developed to meet this challenge, and with their application to the interpretation of experiments. This book will be of interest to condensed matter physicists, particularly those interested in strong correlation problems. The detailed discussions of advanced many-body techniques should make it of interest to theoretical physicists in general.

The Physics of the Standard Model and Beyond

The Physics of the Standard Model and Beyond
Author: T. Morii
Publisher: World Scientific
Total Pages: 316
Release: 2004
Genre: Science
ISBN: 9789812795601

This book provides a unified description of elementary particle interactions and the underlying theories, namely the Standard Model and beyond. The authors have aimed at a concise presentation but have taken care that all the basic concepts are clearly described. Written primarily for graduate students in theoretical and experimental particle physics, The Physics of the Standard Model and Beyond conveys the excitement of particle physics, centering upon experimental observations (new and old) and a variety of ideas for their interpretation. Contents: Weak Interaction; Symmetries and the Gauge Theories; The Standard Model of Electroweak Interactions; Quantum Chromodynamics; Neutrino Masses and Neutrino Oscillations; Supersymmetry; Precision Test of Electroweak Radiative Corrections and New Physics; Flavor Physics and CP Violation; Appendices: Notation and Useful Relations; Cross Sections and Feynman Rule; Basics of the Group Theory; C, P and T Transformation; The Quark Model. Readership: Graduate students, experimentalists and theorists in high energy physics.

Introduction to Quantum Field Theory

Introduction to Quantum Field Theory
Author: Horatiu Nastase
Publisher: Cambridge University Press
Total Pages: 735
Release: 2019-10-17
Genre: Science
ISBN: 1108493998

A comprehensive, graduate-level textbook introducing quantum field theory, giving equal emphasis to operator and path integral formalisms.

Introduction to Particle and Astroparticle Physics

Introduction to Particle and Astroparticle Physics
Author: Alessandro De Angelis
Publisher: Springer
Total Pages: 755
Release: 2018-06-19
Genre: Science
ISBN: 3319781812

This book introduces particle physics, astrophysics and cosmology. Starting from an experimental perspective, it provides a unified view of these fields that reflects the very rapid advances being made. This new edition has a number of improvements and has been updated to describe the recent discovery of gravitational waves and astrophysical neutrinos, which started the new era of multimessenger astrophysics; it also includes new results on the Higgs particle. Astroparticle and particle physics share a common problem: we still don’t have a description of the main ingredients of the Universe from the point of view of its energy budget. Addressing these fascinating issues, and offering a balanced introduction to particle and astroparticle physics that requires only a basic understanding of quantum and classical physics, this book is a valuable resource, particularly for advanced undergraduate students and for those embarking on graduate courses. It includes exercises that offer readers practical insights. It can be used equally well as a self-study book, a reference and a textbook.

Simple Models of Many-Fermion Systems

Simple Models of Many-Fermion Systems
Author: Joachim Alexander Maruhn
Publisher: Springer Science & Business Media
Total Pages: 281
Release: 2010-05-17
Genre: Science
ISBN: 3642038395

The term “ nite Fermi systems” usually refers to systems where the fermionic nature of the constituents is of dominating importance but the nite spatial extent also cannot be ignored. Historically the prominent examples were atoms, molecules, and nuclei. These should be seen in contrast to solid-state systems, where an in nite extent is usually a good approximation. Recently, new and different types of nite Fermi systems have become important, most noticeably metallic clusters, quantum dots, fermion traps, and compact stars. The theoretical description of nite Fermi systems has a long tradition and dev- oped over decades from most simple models to highly elaborate methods of ma- body theory. In fact, nite Fermi systems are the most demanding ground for theory as one often does not have any symmetry to simplify classi cation and as a possibly large but always nite particle number requires to take into account all particles. In spite of the practical complexity, most methods rely on simple and basic schemes which can be well understood in simple test cases. We therefore felt it a timely undertaking to offer a comprehensive view of the underlying theoretical ideas and techniques used for the description of such s- tems across physical disciplines. The book demonstrates how theoretical can be successively re ned from the Fermi gas via external potential and mean- eld m- els to various techniques for dealing with residual interactions, while following the universality of such concepts like shells and magic numbers across the application elds.

The Interacting Boson-Fermion Model

The Interacting Boson-Fermion Model
Author: F. Iachello
Publisher: Cambridge University Press
Total Pages: 328
Release: 2005-11-03
Genre: Science
ISBN: 9780521021647

This book describes the mathematical framework on which the interacting boson-fermion model is built and presents applications to a variety of situations encountered in nuclei. It addresses both the analytical and the numerical aspects of the problem. The analytical aspect requires the introduction of rather complex group theoretic methods, including the use of graded (or super) Lie algebras. The first (and so far only) example of supersymmetry occurring in nature is also discussed.

Zero to Infinity

Zero to Infinity
Author: Peter Rowlands
Publisher: World Scientific
Total Pages: 738
Release: 2007
Genre: Science
ISBN: 9812709150

Unique in its field, this book uses a methodology that is entirely new, creating the simplest and most abstract foundations for physics to date. The author proposes a fundamental description of process in a universal computational rewrite system, leading to an irreducible form of relativistic quantum mechanics from a single operator. This is not only simpler, and more fundamental, but also seemingly more powerful than any other quantum mechanics formalism available. The methodology finds immediate applications in particle physics, theoretical physics and theoretical computing. In addition, taking the rewrite structure more generally as a description of process, the book shows how it can be applied to large-scale structures beyond the realm of fundamental physics. Sample Chapter(s). Chapter 1: Zero (228 KB). Contents: Zero; Why Does Physics Work?; The Emergence of Physics; Groups and Representations; Breaking the Dirac Code; The Dirac Nilpotent; Nonrelativistic Quantum Mechanics and the Classical Transition; The Classical and Special Relativistic Approximations; The Resolution of Paradoxes; Electric, Strong and Weak Interactions; QED and Its Analogues; Vacuum; Fermion and Boson Structures; A Representation of Strong and Weak Interactions; Grand Unification and Particle Masses; The Factor 2 and Duality; Gravity and Inertia; Dimensionality, Strings and Quantum Gravity; Nature''s Code; Nature''s Rule; Infinity. Readership: Researchers in quantum, theoretical and high energy physics.