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Quantum Theory, Groups and Representations

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Table of Contents

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    Book Overview
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    Chapter 1 Introduction and Overview
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    Chapter 2 The Group U(1) and its Representations
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    Chapter 3 Two-state Systems and SU(2)
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    Chapter 4 Linear Algebra Review, Unitary and Orthogonal Groups
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    Chapter 5 Lie Algebras and Lie Algebra Representations
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    Chapter 6 The Rotation and Spin Groups in Three and Four Dimensions
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    Chapter 7 Rotations and the Spin $$\frac{1}{2}$$ Particle in a Magnetic Field
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    Chapter 8 Representations of SU(2) and SO(3)
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    Chapter 9 Tensor Products, Entanglement, and Addition of Spin
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    Chapter 10 Momentum and the Free Particle
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    Chapter 11 Fourier Analysis and the Free Particle
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    Chapter 12 Position and the Free Particle
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    Chapter 13 The Heisenberg group and the Schrödinger Representation
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    Chapter 14 The Poisson Bracket and Symplectic Geometry
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    Chapter 15 Hamiltonian Vector Fields and the Moment Map
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    Chapter 16 Quadratic Polynomials and the Symplectic Group
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    Chapter 17 Quantization
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    Chapter 18 Semi-direct Products
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    Chapter 19 The Quantum Free Particle as a Representation of the Euclidean Group
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    Chapter 20 Representations of Semi-direct Products
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    Chapter 21 Central Potentials and the Hydrogen Atom
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    Chapter 22 The Harmonic Oscillator
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    Chapter 23 Coherent States and the Propagator for the Harmonic Oscillator
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    Chapter 24 The Metaplectic Representation and Annihilation and Creation Operators, $$d=1$$
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    Chapter 25 The Metaplectic Representation and Annihilation and Creation Operators, arbitrary d
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    Chapter 26 Complex Structures and Quantization
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    Chapter 27 The Fermionic Oscillator
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    Chapter 28 Weyl and Clifford Algebras
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    Chapter 29 Clifford Algebras and Geometry
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    Chapter 30 Anticommuting Variables and Pseudo-classical Mechanics
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    Chapter 31 Fermionic Quantization and Spinors
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    Chapter 32 A Summary: Parallels Between Bosonic and Fermionic Quantization
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    Chapter 33 Supersymmetry, Some Simple Examples
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    Chapter 34 The Pauli Equation and the Dirac Operator
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    Chapter 35 Lagrangian Methods and the Path Integral
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    Chapter 36 Multiparticle Systems: Momentum Space Description
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    Chapter 37 Multiparticle Systems and Field Quantization
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    Chapter 38 Symmetries and Non-relativistic Quantum Fields
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    Chapter 39 Quantization of Infinite dimensional Phase Spaces
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    Chapter 40 Minkowski Space and the Lorentz Group
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    Chapter 41 Representations of the Lorentz Group
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    Chapter 42 The Poincaré Group and its Representations
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    Chapter 43 The Klein–Gordon Equation and Scalar Quantum Fields
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    Chapter 44 Symmetries and Relativistic Scalar Quantum Fields
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    Chapter 45 U(1) Gauge Symmetry and Electromagnetic Fields
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    Chapter 46 Quantization of the Electromagnetic Field: the Photon
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    Chapter 47 The Dirac Equation and Spin $$\frac{1}{2}$$ Fields
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    Chapter 48 An Introduction to the Standard Model
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    Chapter 49 Further Topics
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Title
Quantum Theory, Groups and Representations
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-64612-1
ISBNs
978-3-31-964610-7, 978-3-31-964612-1
Authors

Peter Woit, Woit, Peter

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X Demographics

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 211 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Korea, Republic of 1 <1%
United States 1 <1%
Portugal 1 <1%
Canada 1 <1%
Unknown 207 98%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 40 19%
Student > Master 29 14%
Researcher 26 12%
Student > Bachelor 19 9%
Other 12 6%
Other 40 19%
Unknown 45 21%
Readers by discipline Count As %
Physics and Astronomy 98 46%
Mathematics 22 10%
Engineering 11 5%
Chemistry 9 4%
Materials Science 6 3%
Other 14 7%
Unknown 51 24%