Relativistic quantum mechanics and quantum fields : second edition for the 21st century / W-Y Pauchy Hwang, Ta-You Wu.

Format:

Book

Author/Creator:

Hwang, W.-Y. P. (W.-Y. Pauchy), author.

Wu, Ta-you, author.

Language:

English

Subjects (All):

Relativistic quantum theory.

Quantum field theory.

Quantum electrodynamics.

Quantum chromodynamics.

Physical Description:

xiii, 402 pages : illustrations ; 25 cm

Edition:

Twenty-first-century edition.

Place of Publication:

Hackensack, New Jersey : World Scientific, [2018]

Summary:

This present edition of the book follows the generally pedagogic style of Quantum Mechanics. The scope ranges from relativistic quantum mechanics to an introduction to quantum field theory with quantum electrodynamics as the basic example and ends with an exposition of important issues related to the standard model. The book presents the subject in basic and easy-to-grasp notions which will enhance the purpose of this book as a useful textbook in the area of relativistic quantum mechanics and quantum electrodynamics.

Contents:

Chapter 0 We Live in the Quantum 4-Dimensional Minkowski Space-Time p. 1

0.0 The Space-Time

0.1 The Point in the Quantum Sense

0.2 The Standard Model of the 20th Century

0.3 From Building Blocks of Matter to the Smallest Units of Matter

0.4 The Standard Model of All Centuries

0.5 The Origin of Mass

0.6 The Origin of Fields (Point-Like Particles)

0.7 A Few Words about Gravity

Part. A Relativistic Quantum Mechanics

Chapter 1 The Language p. 16

1 The Axioms Leading to Quantum Fields

2 Our Universe

3 The Concepts Developed in the 20th Century

4 Renormalizability

5 Relativistic Quantum Mechanics

6 The Declaration

Appendix: Introduction on the Curved Space-Time

Chapter 2 The Dime Theory for Free Electrons p. 41

2.1 Dirac's Relativistic Equation

2.2 Solution of Dirac's Equation for a Free Electron

2.3 The Early Puzzles in Terms of Negative-Energy States

2.4 Electron Spin

2.5 Foldy-Wouthuysen Representation

Chapter 3 ¿_¿-Matrices; Helicity; Charge Conjugation p. 69

3.1 Properties of the ¿_¿ Matrices

3.2 Helicity and Neutrinos

3.3 Charge Conjugation

3.4 Dirac Equation in Majorana. Representation

Chapter 4 Transformations of the Dirac Equation p. 89

4.1 Unitary Transformations

4.2 Gauge Transformations

4.3 Lorentz Transformations

4.4 Space Inversion, Charge Conjugation, and Time Reversal

4.5 The Transformation Matrix S

Chapter 5 The Dirac Electron in an Electromagnetic Field p. 107

5.1 Dirac Equations in Second-Order Form

5.2 Dirac Equation: Approximate. Iterated Form

5.3 Hydrogcirie Atoms in Dirac's Theory - Approximate Solution

5.4 Hydrogenic Atoms in Dirac's Theory - Exact. Solution

5.5 Dirac Equation and Many-Body Features

5.6 "Extra Moments" to the Dirac Equation?

Part B Introduction to Quantum Field Theory

Chapter 6 Classical Fields p. 131

6.2 Classical Field Equation

6.3 Noether's Theorem

6.4 The Klein-Gordon Field in Lagrangian Form

6.5 The Electromagnetic Field in Lagrangian Form

6.6 The Dirac Field in Lagrangian Form

Appendix: Electromagnetic Fields

Chapter 7 Many-Body Systems p. 158

7.1 Permutations

7.2 Symmetric and Antisymmetric Wave Functions for Fermions and Bosons

7.3 Fock Representation: Creation and Annihilation Operators

7.4 Neutrino Halos in Our Universe

7.5 Black Holes do not Exist in Our Universe

Chapter 8 Quantization of Free Fields p. 178

8.1 Klein-Gordon, Real (Pseudo) Scalar Field ¿(x_¿)

8.2 Klein-Gordon Complex, Scalar Field

8.3 Electromagnetic Fields

8.4 Dirac Electron-Positron Field

8.5 Dirac's Theory of Emission and Absorption of Radiation

Appendix: Green's Functions ¿ and D

Chapter 9 Quantum Electrodynamics I: S-Matrix Elements p. 212

9.1 The Evolution Operator and the S-Matrix

9.2 S-Matrix Elements and Feynman Rules

9.3 Calculation of Cross Sections;

Chapter 10 Quantum Electrodynamics II: Renormalization p. 232

10.1 Pauli-Villars Regularization

10.2 Dimensional Regularization

10.3 Introduction to Renormalization

Appendix: Some Useful Formulae for Dimensional Regularization

Part C The Standard Model

Chapter 11 Symmetries, Transformations, and Invariants p. 257

11.1 SU(2) Symmetries in Particle Physics

11.2 Flavor SU(3) Symmetry: Isospin and Strangeness

11.3 Additional Symmetries in Particle Physics

Appeudix; Potentials and Phase in Quantum Mechanics

Chapter 12 Quantum Chromodynamics p. 293

12.1 QCD is an SU(3) Gauge Theory

12.2 QCD is Asymptotically Free

12.3 Color Confinement

Appendix A Method of Path Integrals

Appendix B Method of Lattice Gauge Fields

Chapter 13 The Glashow-Salam-Weinberg Electroweak Theory p. 316

13.1 Higgs Mechanism in an SU(2) × U(⊥) Gauge Theory

13.2 The SU(2) × U(1) Electroweak Theory with Two Generations of Fermions

13.3 Weak Interactions at Low Energies

Appendix: Feynman Rules in the R_¿ Gauge

Chapter 14 Experimental Tests: The Standard Model of the 20th Century p. 337

14.1 Quantum Chromodynamics

14.2 The Glashow-Salam-Weinberg SU(2) × U(1) Electroweak Theory

Chapter 15 The Standard Model p. 359

15.2 The Origin of Mass

15.3 Leptons: Point-Like Dirac Particles

15.4 The Standard Model of All Centuries

15.5 Conehiding Remarks

15.6 The Episode

Chapter 16 Neutrinos in the Cosmos p. 379

16.2 The Standard Model of All Centuries

16.3 v(Solar) + ¿(CB; k^¿_F) → e⁻ + e⁺ as the Evidence

16.4 Invisible Neutrino Halos and Black Holes.

Notes:

First edition cataloged under: Wu, Ta-you.

21st century edition statement from preface.

Includes bibliographical references and indexes.

ISBN:

9789813270022

9813270020

OCLC:

1031159564