Quantum Theory for Mathematicians

Table of Contents

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   Book Overview
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   Chapter 1 The Experimental Origins of Quantum Mechanics
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   Chapter 2 A First Approach to Classical Mechanics
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   Chapter 3 A First Approach to Quantum Mechanics
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   Chapter 4 The Free Schrödinger Equation
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   Chapter 5 A Particle in a Square Well
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   Chapter 6 Perspectives on the Spectral Theorem
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   Chapter 7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
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   Chapter 8 The Spectral Theorem for Bounded Self-Adjoint Operators: Proofs
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    Chapter 9 Unbounded Self-Adjoint Operators
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    Chapter 10 The Spectral Theorem for Unbounded Self-Adjoint Operators
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    Chapter 11 The Harmonic Oscillator
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    Chapter 12 The Uncertainty Principle
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    Chapter 13 Quantization Schemes for Euclidean Space
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    Chapter 14 The Stone–von Neumann Theorem
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    Chapter 15 The WKB Approximation
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    Chapter 16 Lie Groups, Lie Algebras, and Representations
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    Chapter 17 Angular Momentum and Spin
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    Chapter 18 Radial Potentials and the Hydrogen Atom
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    Chapter 19 Systems and Subsystems, Multiple Particles
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    Chapter 20 The Path Integral Formulation of Quantum Mechanics
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    Chapter 21 Hamiltonian Mechanics on Manifolds
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    Chapter 22 Geometric Quantization on Euclidean Space
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    Chapter 23 Geometric Quantization on Manifolds