The Fermion

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Simple Models of Many-Fermion Systems

Author : Joachim Alexander Maruhn,Paul-Gerhard Reinhard,Eric Suraud
Publisher : Springer Science & Business Media
Page : 281 pages
File Size : 45,9 Mb
Release : 2010-05-17
Category : Science
ISBN : 9783642038396

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Simple Models of Many-Fermion Systems by Joachim Alexander Maruhn,Paul-Gerhard Reinhard,Eric Suraud Pdf

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 Fermion

Author : Paul F. Kisak
Publisher : Createspace Independent Publishing Platform
Page : 298 pages
File Size : 44,6 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.

The Continuum Limit of Causal Fermion Systems

Author : Felix Finster
Publisher : Springer
Page : 548 pages
File Size : 48,7 Mb
Release : 2016-08-19
Category : Science
ISBN : 9783319420677

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The Continuum Limit of Causal Fermion Systems by Felix Finster Pdf

This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle. In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space. The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.

The Interacting Boson-Fermion Model

Author : F. Iachello,P. van Isacker
Publisher : Cambridge University Press
Page : 326 pages
File Size : 45,5 Mb
Release : 1991-08-30
Category : Science
ISBN : 9780521380928

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The Interacting Boson-Fermion Model by F. Iachello,P. van Isacker Pdf

The interacting boson-fermion model has become in recent years the standard model for the description of atomic nuclei with an odd number of protons and/or neutrons. 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. The book 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. The book is the first comprehensive treatment of the subject and will appeal to both theoretical and experimental physicists. The large number of explicit formulas for level energies, electromagnetic transition rates and intensities of transfer reactions presented in the book provide a simple but detailed way to analyse experimental data. This book can also be used as a textbook for advanced graduate students.

Many-body Theory of Correlated Fermion Systems

Author : José M Arias,M Isabel Gallardo,Manuel Lozano
Publisher : World Scientific
Page : 368 pages
File Size : 43,7 Mb
Release : 1998-05-30
Category : Electronic
ISBN : 9789814545174

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Many-body Theory of Correlated Fermion Systems by José M Arias,M Isabel Gallardo,Manuel Lozano Pdf

The structure of matter is intimately related to the fundamental role played by many-fermion systems. The development in the last few decades of the microscopic many-body theory of correlated fermion systems has been a fertile ground not only for spectacular achievements in basic science in various areas of research, but also for technological applications. Among the numerous phenomena discovered and studied in systems of many fermions, one can cite the superconductivity in metals, the superfluidity in 3He, nuclear matter and nuclei, the quantum Hall effect, the giant resonances in nuclei, the Anderson location and the metal–insulator transition, hole and electron diffusion in doped semiconductors, etc. All these phenomena can be understood only in terms of correlations occurring in many-fermion systems, and the formulation of the correct microscopic theory of each phenomenon has marked a milestone in pure science as well as the starting point for the exploitation of its potential technological applications. It is likely that in the future further developments will take place in this field of basic science. The Hispalensis International School is a summer school aimed mainly at young physicists, both theoreticians and experimentalists, engaged in research work at the predoctoral or recent postdoctoral level. The objective of the School provide an opportunity for participants to come into contact with experienced researchers and hear their clear account of the state of the art of many-body theories in nuclear physics, as well as in related fields, and the main future lines of development. Contents:A Microscopic Theory of Magnetic Order in Strongly Correlated Quantum Spin Lattices (R F Bishop & D J J Farnell)Translationally Invariant Coupled Cluster Method in Finite Nuclei (R Guardiola et al)Many-Body Theory of Electron Gas, Quantum Dots and Metal Clusters (E Lipparini)Electrons in Mesoscopic Systems (J Martorell)Microscopic Calculations on Normal Helium-3 at Zero Temperature (S Fantoni & S Moroni)Quantum Transport in Strongly Correlated Systems (R Malfliet)Stochastic Approaches to Out-of-Equilibrium Dynamics (Ph Chomaz)Symmetries in Nuclear Models (P Van Isacker)Many–Body Approximations to Nuclear Structure Problems (J L Egido)Monte–Carlo Shell–Model Calculations (T Otsuka et al)The Dyson Equation Approach to Many–Body Green's Functions (P Schuck et al)Relativisitic Thomas–Fermi Description of Collective Modes in Droplets of Nuclear Matter (C da Providencia et al)Quasiparticles and Collective Excitations in the Quark–Gluon Plasma (J P Blaizot)Nonperturbative Study of Hadron Structure Using Lattice QCD (J W Negele) Readership: Condensed-matter, nuclear and atomic physicists. Keywords:

Fermion Algorithms - Proceedings Of The Workshop

Author : Frithjof Karsch,Hans J Herrmann
Publisher : World Scientific
Page : 262 pages
File Size : 50,5 Mb
Release : 1991-11-01
Category : Electronic
ISBN : 9789814555364

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Fermion Algorithms - Proceedings Of The Workshop by Frithjof Karsch,Hans J Herrmann Pdf

Novel Monte Carlo Algorithms for Fermionic Systems are badly needed in high energy and solid state physics. At this workshop the newest developments in this direction were presented, in particular those concerning multi-grid techniques, cluster algorithms and massively parallel implementations.

Heavy-Fermion Systems

Author : Prasanta Misra
Publisher : Elsevier
Page : 352 pages
File Size : 41,8 Mb
Release : 2007-12-11
Category : Technology & Engineering
ISBN : 0080554679

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Heavy-Fermion Systems by Prasanta Misra Pdf

The book on Heavy-Fermion Systems is a part of the Book series "Handbook of Metal Physics", each volume of which is written to facilitate the research of Ph.D. students, faculty and other researchers in a specific area. The Heavy-Fermions (sometimes known as Heavy-Electrons) is a loosely defined collection of intermetallic compounds containing rare-earth (mostly Ce) or actinide (mostly U) elements. These unusual names were given due to the large effective mass (100-1,000 times greater than the mass of a free electron) below a critical temperature. They have a variety of ground states including superconducting, antiferromagnetic, paramagnetic or semiconducting. Some display unusual magnetic properties such as magnetic quantum critical point and metamagnetism. This book is essentially a summary as well as a critical review of the theoretical and experimental work done on Heavy Fermions. · Extensive research references. · Comprehensive review of a very rapidly growing number of theories. · Summary of all important experiments. · Comparison with other highly correlated systems such as High-Tc Superconductors. · Possible Technological applications.

Towards The Theoretical Understanding Of High Temperature Superconductors - Proceedings Of The Adriatico Research Conference And Workshop

Author : Stig Lundqvist,M Tosi,Lu Yu,Erio Tosatti
Publisher : World Scientific
Page : 809 pages
File Size : 43,7 Mb
Release : 1988-11-01
Category : Science
ISBN : 9789814635967

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Towards The Theoretical Understanding Of High Temperature Superconductors - Proceedings Of The Adriatico Research Conference And Workshop by Stig Lundqvist,M Tosi,Lu Yu,Erio Tosatti Pdf

This is a combined volume of the Proceedings for the Workshop on 'Mechanisms of High Tc Superconductivity' (20 June –29 July) and the Adriatico Research Conference (26 - 29 July) on high temperature superconductivity. It aims to bring together a critical overview of the experimental situation and an in-depth discussion of the various theoretical models proposed to explain the mechanisms for high temperature superconductivity by experts actively involved in high Tc research.

Quantum Theory, Deformation and Integrability

Author : R. Carroll
Publisher : Elsevier
Page : 420 pages
File Size : 53,9 Mb
Release : 2000-11-09
Category : Science
ISBN : 0080540082

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Quantum Theory, Deformation and Integrability by R. Carroll Pdf

About four years ago a prominent string theorist was quoted as saying that it might be possible to understand quantum mechanics by the year 2000. Sometimes new mathematical developments make such understanding appear possible and even close, but on the other hand, increasing lack of experimental verification make it seem to be further distant. In any event one seems to arrive at new revolutions in physics and mathematics every year. This book hopes to convey some of the excitment of this period, but will adopt a relatively pedestrian approach designed to illuminate the relations between quantum and classical. There will be some discussion of philosophical matters such as measurement, uncertainty, decoherence, etc. but philosophy will not be emphasized; generally we want to enjoy the fruits of computation based on the operator formulation of QM and quantum field theory. In Chapter 1 connections of QM to deterministic behavior are exhibited in the trajectory representations of Faraggi-Matone. Chapter 1 also includes a review of KP theory and some preliminary remarks on coherent states, density matrices, etc. and more on deterministic theory. We develop in Chapter 4 relations between quantization and integrability based on Moyal brackets, discretizations, KP, strings and Hirota formulas, and in Chapter 2 we study the QM of embedded curves and surfaces illustrating some QM effects of geometry. Chapter 3 is on quantum integrable systems, quantum groups, and modern deformation quantization. Chapter 5 involves the Whitham equations in various roles mediating between QM and classical behavior. In particular, connections to Seiberg-Witten theory (arising in N = 2 supersymmetric (susy) Yang-Mills (YM) theory) are discussed and we would still like to understand more deeply what is going on. Thus in Chapter 5 we will try to give some conceptual background for susy, gauge theories, renormalization, etc. from both a physical and mathematical point of view. In Chapter 6 we continue the deformation quantization then by exhibiting material based on and related to noncommutative geometry and gauge theory.

Topological Phases in Condensed Matter Physics

Author : Saurabh Basu
Publisher : Springer Nature
Page : 226 pages
File Size : 42,7 Mb
Release : 2023-10-16
Category : Science
ISBN : 9789819953219

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Topological Phases in Condensed Matter Physics by Saurabh Basu Pdf

The book is mainly designed for post-graduate students to learn modern-day condensed matter physics. While emphasizing an experiment called the ‘Quantum Hall effect’, it introduces the subject of 'Topology' and how the topological invariants are related to the quantization of the Hall plateaus. Thus, the content tries to deliver an account of the topological aspects of materials that have shaped the study of condensed matter physics in recent times. The subject is often quite involved for a student to grasp the fundamentals and relate them to physical phenomena. Further, these topics are mostly left out of the undergraduate curriculum, although they often require a simplistic view of the concepts involved to be presented pedagogically. The book contains examples, worked-out concepts, important derivations, diagrams for illustration, etc. to aid the understanding of the students. The book also emphasizes the experimental discoveries that put the subject in its perspective and elaborate on the applications which are likely to be of interest to scientists and engineers.

Symmetries in Particle Physics

Author : Itzhak Bars,Alan Chodos,Chia-Hsiung Tze
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 53,7 Mb
Release : 2013-11-21
Category : Science
ISBN : 9781489953131

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Symmetries in Particle Physics by Itzhak Bars,Alan Chodos,Chia-Hsiung Tze Pdf

Phenomenology of Large Nc QCD

Author : Richard F Lebed
Publisher : World Scientific
Page : 320 pages
File Size : 51,9 Mb
Release : 2002-09-16
Category : Science
ISBN : 9789814487917

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Phenomenology of Large Nc QCD by Richard F Lebed Pdf

The generalization of QCD from three to NC colors, developed in 1974 by Nobel laureate Gerard 't Hooft, has proved to be an extraordinarily useful and robust theoretical extension for studying the behavior of strong interaction physics. This book is the proceedings of the first-ever meeting exclusively devoted to large NC QCD. The workshop brought together representatives of many subdisciplines for a “meeting of minds” on topics ranging from finite temperature and density to the lattice, perturbative QCD, instantons, mesons, baryons, and nuclear physics. Beginning with 't Hooft's keynote presentation, the contributions are designed to introduce uses of large NC methods in each specialty to a broader particle physics audience. Contents:Large N (G 't Hooft)Instantons and the Large Nc Limit of QCD (T Schäfer)Glueballs and AdS/CFT (J Terning)Regge Asymptotics in Multi-Colour QCD (G P Korchemsky)QCD Evolution Equations (A V Belitsky)Baryons (A V Manohar)Excited Baryon Production and Decays (C E Carlson)Heavy Baryons: A Combined Large Nc and Heavy Quark Expansion for Electroweak Currents (B A Gelman)Colourless Mesons in a Polychromatic World (A Pich)Large Nc Means Nc = 3 (M D Scadron)and other papers Readership: Graduate students, academics and researchers in high energy and nuclear physics. Keywords:

Symmetries in Atomic Nuclei

Author : Alejandro Frank,Jan Jolie,Pieter van Isacker
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 46,8 Mb
Release : 2008-12-18
Category : Science
ISBN : 9780387874944

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Symmetries in Atomic Nuclei by Alejandro Frank,Jan Jolie,Pieter van Isacker Pdf

Symmetries in Atomic Nuclei aims to present an overview of recent applications of symmetry to the description of atomic nuclei. Special care is given to a pedagogical introduction of symmetry concepts using simple examples. After a historical overview of the applications of symmetry in nuclear physics, progress in the field during the last decade is reviewed. Special emphasis is put on the introduction of neutron-proton and boson-fermion degrees of freedom. Their combination leads to a supersymmetric description of pairs and quartets of nuclei. Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. Case studies show how these symmetries are displayed by real atomic nuclei which have been studied experimentally using state-of-the art spectroscopy. This book focuses on nuclear structure physics and has been written by active investigators in the field, but its scope is wider and is intended for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics.