Book contents
- Frontmatter
- Contents
- Preface
- Prolegomenon
- 1 The Harmonic Oscillator: Classical versus Quantum
- 2 The Mathematical Structure of Quantum Mechanics
- 3 Observables and Expectation Values
- 4 The Projection Postulate Examined
- 5 Rigged Hilbert Space and the Dirac Calculus
- 6 A Review of Classical Mechanics
- 7 Hamilton–Jacobi Theory ∗
- 8 Classical Mechanics Regain’d
- 9 Wave Mechanics I: Heisenberg Uncertainty
- 10 Wave Mechanics II: The Fourier Transform
- 11 Wave Mechanics III: The Quantum Oscillator
- 12 Angular Momentum I: Basics
- 13 Angular Momentum II: Representations of su(2)
- 14 Angular Momentum III: The Central Force Problem
- 15 Wave Mechanics IV: The Hydrogenic Potential
- 16 Wave Mechanics V: Hidden Symmetry Revealed
- 17 Wave Mechanics VI: Hidden Symmetry Solved
- 18 Angular Momentum IV: Addition Rules and Spin
- 19 Wave Mechanics VII: Pauli’s Spinor Theory
- 20 Clifford Algebras and Spin Representations ∗
- 21 Many-Particle Quantum Systems
- 22 The EPR Argument and Bell’s Inequalities
- 23 Ensembles and Density Operators
- 24 Bosons and Fermions
- 25 The Fock Space for Indistinguishable Quanta
- 26 An Introduction to Quantum Statistical Mechanics
- 27 Quantum Dynamics
- 28 Unitary Representations and Conservation Laws
- 29 The Feynman Formulation of Quantum Mechanics
- 30 A Mathematical Interlude: Gaussian Integrals
- 31 Evaluating Path Integrals I
- 32 Evaluating Path Integrals II
- Epilogue
- Resources for Individual Exploration
- Bibliography
- Index
24 - Bosons and Fermions
Published online by Cambridge University Press: 27 August 2020
- Frontmatter
- Contents
- Preface
- Prolegomenon
- 1 The Harmonic Oscillator: Classical versus Quantum
- 2 The Mathematical Structure of Quantum Mechanics
- 3 Observables and Expectation Values
- 4 The Projection Postulate Examined
- 5 Rigged Hilbert Space and the Dirac Calculus
- 6 A Review of Classical Mechanics
- 7 Hamilton–Jacobi Theory ∗
- 8 Classical Mechanics Regain’d
- 9 Wave Mechanics I: Heisenberg Uncertainty
- 10 Wave Mechanics II: The Fourier Transform
- 11 Wave Mechanics III: The Quantum Oscillator
- 12 Angular Momentum I: Basics
- 13 Angular Momentum II: Representations of su(2)
- 14 Angular Momentum III: The Central Force Problem
- 15 Wave Mechanics IV: The Hydrogenic Potential
- 16 Wave Mechanics V: Hidden Symmetry Revealed
- 17 Wave Mechanics VI: Hidden Symmetry Solved
- 18 Angular Momentum IV: Addition Rules and Spin
- 19 Wave Mechanics VII: Pauli’s Spinor Theory
- 20 Clifford Algebras and Spin Representations ∗
- 21 Many-Particle Quantum Systems
- 22 The EPR Argument and Bell’s Inequalities
- 23 Ensembles and Density Operators
- 24 Bosons and Fermions
- 25 The Fock Space for Indistinguishable Quanta
- 26 An Introduction to Quantum Statistical Mechanics
- 27 Quantum Dynamics
- 28 Unitary Representations and Conservation Laws
- 29 The Feynman Formulation of Quantum Mechanics
- 30 A Mathematical Interlude: Gaussian Integrals
- 31 Evaluating Path Integrals I
- 32 Evaluating Path Integrals II
- Epilogue
- Resources for Individual Exploration
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- Lectures on Quantum MechanicsA Primer for Mathematicians, pp. 379 - 396Publisher: Cambridge University PressPrint publication year: 2020