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