A modern approach to quantum mechanics / John S. Townsend.

CONTENT

1 Stern Gerlach Experiments
1.1 The original Stern Gerlach Experiments
1.2 Four Experiments
1.3 The Quantum State vector
1.4 Analysis of Experiment 3
1.5 experiment 5
etc

2 Rotation of Basis States and Matrix Mechanics
2.1 the beginnings of Matrix Mechanics
2.2 Rotation Operators
2.3 The indntity and projection Operators
2.4 Matrix Representation of Operators
2.5 Changing Rep5resentations
etc

3 Angular Momentum
3.1 Rotations Do Not commute and Neither Do the Generators
3.2 Commuting operators
3.3 The Eigenvalues and Eigenstates of Angular Momentum
3.4 The Matrix representations of Operators
3.5 Uncertainty Relations and Angular Momentum
etc

4 Time Evaluation
4.1 The Hamitonian and the Schrodinger Equation
4.2 Time Dependence of expectation Values
4.3 Procession of a spin 1/2 particle in a Magnetic Field
4.4 Magnetic Resonance
4.5 The ammonia Molecule and the Ammonia Master
Etc

5 A System of Two Spin 1/2 Particles
5.1 The Basis States for System of Two spin 1/2 Particles
5.2 The Hyperfine Splitting of the Ground state of hydrogen
5.3 The Addition of Angular momenta for Two spin 1/2 particles
5.4 The Einstein podolsky Rosen Paradox
etc

6 Wave Mechanics in one Dimension
6.1 position Eigestates and the Wave Function
6.2 The Translation Operator
6.3 The Generator of translations
6.4 the Momentum Operator in the position basis
6.5 Momentum space
etc

7 The One Dimensional Harmonic Oscillator
7.1 The importance of the Harmonic Oscillator
7.2 Operator Methods
7.3 An Example : Torsional Oscillations of the Ethylene Molecule
7.4 Matrix Elements of the Raising and lowering operators
7.5 Position Space Wave Functions
etc

8 Path Integrals
8.1 The Multislit Multiscreen Experiment
8.2 The transition Amplitude
8.3 Evaluating the transition amplitude for short time Intervals
8.4 The Path integral
8.5 Evaluation of the path Integral for a free Particle
etc

9 Transitional and Rotational symmetry in the two body Problem
9.1 The Element of Wave mechanics in Three Dimensions
9.2 Transitional Invariance and Conservation of linear Momentum
9.3 Relative and centre of Mass coordinate
9.4 Estimating Ground State Energies Using the Uncertainty Principle
etc

10 Bound states of Central Potentials
10.1 the Behaviour of Radial wave function Near the origin
10.2 The coulomb potential and the Hydrogen
10.3 The Infinite Spherical Well and the Deuteron
10.4 The Infinite Spherical Well
10.5 The Three-Dimensional Isotropic Harmonic Oscillator
etc

11 Time Indepent Perturbations
11.1 Nondegenerate Perturbation
11.2 An Example Involving the one Dimensional Harmonic Oscillator
11.3 Degerate Perturbations to the Hydrogen Atom
11.4 The Stark Effect in Hydrogen
etc

12 Identical Particles
12.1 Indistinguishable Particles in Quantum Mechanics
12.2 An Example Involving the one Dimensional harmonic Oscillator
12.3 Multielectron Atoms and the periodic Table
12.4 Covalent Bonding
12.5 Conclusion
Etc

13 Scattering
13.1 The Asymptotic Wave Function and Differential Cross Section
13.2 The Born Approximation
13.3 An example of the born Approximation
13.4 the Partial Wave expansion
13.5 example of Phrase Shift analysis
etc

14 Photons and Atoms
14.1 The Aharonov Bohm Effect
14.3 Quantizing the Radiation Field
14.4 The properties of Photons
14.5 The Hamilton of the Atom and the Electromagnetic Field
etc

Includes bibliographical references and index.