Detailed Textbook Topics
Unit 1.
Introduction to Quantum Amplitudes
Chapter 1 Quantum Amplitudes and Analyzers
Chapter 2 Transformation and Transfer Operators
Chapter 3 Operator Eigensolutions and Perturbations
Review: Determinants and permutation classes
Unit 2.
Introduction to Wave Dynamics
Chapter 4 Waves Viewed by Space and Time: Relativity
Appendices 4A-B: Old-Fashioned Relativity & Relativistic Space-time Coordinates
Chapter 5 Waves Viewed by Wavevector and Frequency: Dispersion
Chapter 6 Multidimensional Waves and Modes
Review: An “Old-Fashioned” classical approach to relativity
Unit 3.
Introduction to Fourier Analysis and Symmetry
Chapter 7 Fourier Transformation Matrices
Chapter 8 Fourier Symmetry Analysis
Chapter 9 Time Evolution and Fourier Dynamics
Chapter 10 Two-State Evolution, Coupled Oscillation, and Spin
Review: Optical ellipsometry and “Spin-control” using U(2) analysis
Unit 4.
Introduction to Wave Equations
Chapter 11 Difference Equations and Differential Operators
Chapter 12 Infinite-Well States and Dynamics
Chapter 13 Step Potential Barriers and Wells
Review: Scattering and “Quantum well control” using U(2) analysis
Unit 5.
Introduction to Periodic Potentials and Symmetry
Chapter 14 Multiple Barriers, Eigenchannels, and Resonance Bands
Chapter 15 Non-Abelian Symmetry Analysis of Periodic Systems
Chapter 16 Fourier Analysis of Periodic Potentials and States
Review: Molecular symmetry control inside and out
Unit 6.
Introduction to Time-Variable Perturbations and Transitions
Chapter 17 Classical Electromagnetic Perturbations
Chapter 18 Transitions Due to Time-Variable Perturbation
Chapter 19 Two-State Resonant Transitions
The observer becomes the observed
Unit 7.
Quantum Harmonic Oscillators
Chapter 20 One-Dimensional Oscillator States and Dynamics
Chapter 21 Two-Dimensional Oscillator States and Dynamics
Chapter 22 Quantum Electromagnetic Field
Review: Bose-Einsein and Fermi-Dirac symmetries
Unit 8.
Quantum Rotation and Angular Momentum
Chapter 23 Two-Dimensional Oscillator and Quantum Rotation
Chapter 24 Quantum Theory of Molecular and Nuclear Rotors
Chapter 25 Quantum Theory of Coupled Spins and Rotors
Review: The quantum frame inside and out: Mach’s conundrum
Unit 9.
Quantum Orbitals and Central force dynamics (In preparation)
Chapter 26 Hydrogen-like States and Dynamics
Chapter 27 Helium-like States and Dynamics
Chapter 28 Rydberg States
Fano’s multichannel quantum defect theory
Unit 10.
Multiparticle States and Interactions (In preparation)
Chapter 29 Unitary-Permutation Symmetry Projection
Chapter 30 Molecular Rovibrational States and Dynamics
Chapter 31 Atomic n Configurations and Excitation
Xray photoelectron spectroscopy (XPS)
Unit 11
Polyatomic Molecules (In preparation)
Chapter 32 Molecular Orbitals and Vibration
Chapter 33 Rovibrational Fine and Superfine Structure
Chapter 34 Nuclear Hyperfine Structure
Superhyperfine spectroscopy
Unit 12
Relativistic Spin and Symmetry (Proposed)
Chapter 35 Lorentz, Poincare, and Conformal Symmetry
Chapter 36 Dirac Model of Spin
Chapter 37 Electromagnetic Interactions
Advanced potentials
Unit 13
Relativistic Quantum Field Theory (Proposed)
