Detailed Textbook Topics

Chapter 1 Quantum Amplitudes and Analyzers

Chapter 2 Transformation and Transfer Operators

Chapter 3 Operator Eigensolutions and Perturbations

Review: Determinants and permutation classes

Chapter 2 Transformation and Transfer Operators

Chapter 3 Operator Eigensolutions and Perturbations

Review: Determinants and permutation classes

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

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

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

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

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

Chapter 12 Infinite-Well States and Dynamics

Chapter 13 Step Potential Barriers and Wells

Review: Scattering and “Quantum well control” using U(2) analysis

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

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

Chapter 17 Classical Electromagnetic Perturbations

Chapter 18 Transitions Due to Time-Variable Perturbation

Chapter 19 Two-State Resonant Transitions

The observer becomes the observed

Chapter 18 Transitions Due to Time-Variable Perturbation

Chapter 19 Two-State Resonant Transitions

The observer becomes the observed

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

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

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

Chapter 26 Hydrogen-like States and Dynamics

Chapter 27 Helium-like States and Dynamics

Chapter 28 Rydberg States

Fano’s multichannel quantum defect theory

Chapter 27 Helium-like States and Dynamics

Chapter 28 Rydberg States

Fano’s multichannel quantum defect theory

Chapter 29 Unitary-Permutation Symmetry Projection

Chapter 30 Molecular Rovibrational States and Dynamics

Chapter 31 Atomic n Configurations and Excitation

Xray photoelectron spectroscopy (XPS)

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

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

Chapter 36 Dirac Model of Spin

Chapter 37 Electromagnetic Interactions

Advanced potentials