M
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D
E
R
N
P
H
Y
S
I
C
S
and its
Classical Foundations
{Web Version}
Table of Contents for Units
Introduction
Cover
Table of Contents
Preface
Unit 1 Review of classical velocity, momentum, energy, and action
Geometry of momentum conservation axiom and energy conservation theorem
Operator algebra and geometry of multiple collisions and kinetically driven potentials
Coulomb and oscillator potential field geometry (Earth model)
Oscillator phase space and orbits
Complex phasors, fields, potentials, and coordinate systems
Lagrangian vs Hamiltonian equations and Legendre contact transformations
Unit 2 Optical wave approach to relativity and quantum theory
Doppler interference geometry and c-axioms: Evenson CW axiom vs Einstein PW axiom
Optical spacetime (x,ct)-coordinates vs per-spacetime (ck,ω)-grid: Minkowski geometry
Relativistic quantum mechanics of velocity, momentum, energy, and action
Compton effects and optical Einstein Elevator models of acceleration
Unit 3 Classical models for resonance, modes, and wave dispersion
Lorentz response functions of damped and forced oscillators
Coupled oscillator models and analogy with optical polarization and 2-state QM
Unit 4 Feynman beam analyzer approach to quantum operator theory
Operator algebra of polarization filters and Mach-Zender interferometers
Operator eigenstates and dynamics of beats and revivals
Unit 5 Fourier analysis, quantum Hamiltonian, and time evolution
Quantum wells and nano-dot models
Operator eigenstates and dynamics
Unit 6 Quantum oscillation
Factored Hamiltonian ladder operator algebra
Operator eigenstates and dynamics, coherent and squeezed states
Unit 7 Quantum rotation, orbitals, and multi-body systems
Rotational wave functions derived from oscillator algebra
Atomic orbitals in Coulomb potential models
Rydberg states
Unit 8 Research in Modern AMO Physics
High resolution atomic and molecular spectroscopy
Bose-Einstein Condensates
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