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- Author: J. J. Sakurai (Author), Jim J. Napolitano (Author)
- Title: Modern Quantum Mechanics
- Amazon Link: https://www.amazon.com/dp/0805382917/?tag=pfamazon01-20&tag=pfamazon01-20
- Prerequisities:
- Contents:
Code:
Contents
1. Fundamental Concepts
1.1 The Stern-Gerlach Experiment
1.2 kets, Bras, and Operators
1.3 Base Kets and Matrix Representations
1.4 Measurement, Observables, and the Uncertainty Relations
1.5 Change of Basis
1.6 Position, Momentum, and Translation
1.7 Wave Function in Position and Momentum Space
Problems
2.Quantum Dynamics
2.1 Time Evolution and the Schrodinger Equations
2.2 The Schrodinger Versus the Heisenberg Picture
2.3 Simple Harmonic Oscillator
2.4 Schrodinger's Wave Equation
2.5 Propagators and Feynman Path Integrals
2.6 Potential and Gauge Transformations
Problems
3.Theory of Angular Momentum
3.1 Rotations and Angular Momentum Commutation Relations
3.2 Spin 1/2 System and Finite Rotations
3.3 SO(3),SU(2),and Euler Rotations
3.4 Density Operators and Pure Versus Mixed Ensembles
3.6 Orbital Angular Momentum
3.7 Addition of Angular Momenta
3.8 Schwinger's Oscillator Model of Angular Momentum
3.9 Spin Correlation Measurements and Bell's Inequality
3.10 Tensor Operators
Problems
4.Symmetry in Quantum Mechanics
4.1 Symmetries, Conservation Laws and Degeneracies
4.2 Discrete Symmetries, Parity,or Space Inversion
4.3 Lattice Translation as a Discrete Symmetry
4.4 The Time-Reversal Discrete Symmetry
Problems
5.Approximation Methods
5.1 Time-Independent Perturbation Theory: Nondegenerate Case
5.2 Time-Independent Perturbation Theory: The Degenerate Case
5.3 Hydrogenlike Atoms: Fine Structure and the Zeeman Effect
5.4 Variational Methods
5.5 Time Dependent Potentials: The Interaction Picture
5.6 Time Dependent Perturbation Theory
5.7 Application to Interactions with the Classical Radiation Fields
5.8 Energy Shift and Decay Width
Problems
6.Identical Particles
6.1 Permutation Symmetry
6.2 Symmetrization Postulate
6.3 Two Electron System
6.4 The Helium Atom
6.5 Permutation Symmetry and Young Tableaux
Problems
7.Scattering Theory
7.1 The Lippmann-Schwinger Equation
7.2 The Born Approximation
7.3 Optical Theorem
7.4 Eikonal Approximation
7.5 Free Particle States: Plane Wave Versus Spherical Wave
7.6 Methods of Partial Waves
7.7 Low Energy Scattering and Bound States
7.8 Resonance Scattering
7.9 Identical Particle and Scattering
7.10 Symmetry Consideration in Scattering
7.11 Time Dependent Formulation of Scattering
7.12 Inelastic Electron Atom Scattering
7.13 Coulomb Scattering
Problems.
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