Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 The Failure of Classical Physics
- 2 Wave–Particle Duality andWave Mechanics
- 3 Schrödinger Equation; Uncertainty Relations
- 4 The One-Dimensional Schrödinger Equation; Bound States
- 5 Scattering in One Dimension
- 6 Mathematical Formulation of Quantum Mechanics
- 7 Physical Interpretation: Postulates of Quantum Mechanics
- 8 The Harmonic Oscillator
- 9 Particle in a Central Potential; Orbital Angular Momentum
- 10 Bound States in a Central Potential: Applications
- 11 Angular Momentum: General Properties
- 12 Spin; Charged Particle in an Electromagnetic Field
- 13 Addition of Angular Momenta
- 14 Approximation Methods
- 15 Scattering by a Potential
- 16 Symmetry Transformations of States and Operators
- 17 Rotation Matrices and the Wigner–Eckart Theorem; Fine and Hyperfine Structure of Energy Levels in Hydrogen-Like Atoms
- 18 Time-Dependent Perturbation Theory
- 19 Systems of Identical Particles
- Bibliography
- Index
17 - Rotation Matrices and the Wigner–Eckart Theorem; Fine and Hyperfine Structure of Energy Levels in Hydrogen-Like Atoms
Published online by Cambridge University Press: 05 December 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 The Failure of Classical Physics
- 2 Wave–Particle Duality andWave Mechanics
- 3 Schrödinger Equation; Uncertainty Relations
- 4 The One-Dimensional Schrödinger Equation; Bound States
- 5 Scattering in One Dimension
- 6 Mathematical Formulation of Quantum Mechanics
- 7 Physical Interpretation: Postulates of Quantum Mechanics
- 8 The Harmonic Oscillator
- 9 Particle in a Central Potential; Orbital Angular Momentum
- 10 Bound States in a Central Potential: Applications
- 11 Angular Momentum: General Properties
- 12 Spin; Charged Particle in an Electromagnetic Field
- 13 Addition of Angular Momenta
- 14 Approximation Methods
- 15 Scattering by a Potential
- 16 Symmetry Transformations of States and Operators
- 17 Rotation Matrices and the Wigner–Eckart Theorem; Fine and Hyperfine Structure of Energy Levels in Hydrogen-Like Atoms
- 18 Time-Dependent Perturbation Theory
- 19 Systems of Identical Particles
- Bibliography
- Index
Summary
Euler angles and rotation matrices; construction and properties of the rotation matrices; transformation of irreducible tensor operators under rotations; fine-structure of the hydrogen atom; hydrogen atom in a magnetic field: Zeeman and Paschen-Back effects; hyperfine structure of the hydrogen atom; tensor operators; time reversal and irreducible tensor operators.
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- Information
- Quantum Mechanics through ProblemsWith Complete Solutions, pp. 622 - 668Publisher: Cambridge University PressPrint publication year: 2024