A modern approach to quantum mechanics /
John S. Townsend.
- Sausalito, Calif. : University Science Books, c2000.
- xiv, 476 p. : ill. ; 24 cm.
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