Quantum Theory, Groups and Representations: An Introduction by Peter Woit in pdf

 Quantum Theory, Groups and Representations: An Introduction by Peter Woit in pdf

this is the book Quantum Theory, Groups and Representations: An Introduction in pdf written  by Peter Woit, published by Springer ,2022  of professors of  science faculties  universities  .

   

Information about the book

Language of the book: English language

Book Title: Quantum Theory, Groups and Representations: An Introduction

Scriptwriter: by Peter Woit

Year of printing:   Springer ,2022

File Format:PDF

Number of chapters: 49 CHAPTER

Number of pages: 580 pages

File Size: 2,10 MB

Contents

1 Introduction and Overview

2 The Group U1 and its Representations

3 Twostate Systems and SU2

4 Linear Algebra Review Unitary and Orthogonal Groups

5 Lie Algebras and Lie Algebra Representations

6 The Rotation and Spin Groups in Three and Four Dimensions

7 Rotations and the Spin 12 Particle in a Magnetic Field

8 Representations of SU2 and SO3

9 Tensor Products Entanglement and Addition of Spin

10 Momentum and the Free Particle

11 Fourier Analysis and the Free Particle

12 Position and the Free Particle

13 The Heisenberg group and the Schrödinger Representation

14 The Poisson Bracket and Symplectic Geometry

15 Hamiltonian Vector Fields and the Moment Map

16 Quadratic Polynomials and the Symplectic Group

17 Quantization

18 Semidirect Products

19 The Quantum Free Particle as a Representation of the Euclidean Group

20 Representations of Semidirect Products

21 Central Potentials and the Hydrogen Atom

22 The Harmonic Oscillator

23 Coherent States and the Propagator for the Harmonic Oscillator

24 The Metaplectic Representation and Annihilation and Creation Operators d1

25 The Metaplectic Representation and Annihilation and Creation Operators arbitrary d

26 Complex Structures and Quantization

27 The Fermionic Oscillator

28 Weyl and Clifford Algebras

29 Clifford Algebras and Geometry

30 Anticommuting Variables and Pseudoclassical Mechanics

31 Fermionic Quantization and Spinors

Parallels Between Bosonic and Fermionic Quantization

33 Supersymmetry Some Simple Examples

34 The Pauli Equation and the Dirac Operator

35 Lagrangian Methods and the Path Integral

Momentum Space Description

37 Multiparticle Systems and Field Quantization

the Photon

47 The Dirac Equation and Spin 12 Fields

48 An Introduction to the Standard Model

49 Further Topics

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