Topics include: Genesis of Quantum Theory: the classical atom, the nuclear atom, the emergence of quantum mechanics; The Mechanics of Waves: Wave functions and wave equations, elementary properties and solutions of the wave equation; Dispersion: the dependence of wave speed on wavelength, general solution of the wave equation for bound waves, Fourier series techniques. Topics also include: Schrodinger's Equation for Potential Wells: preliminaries, particle in an infinite square well: the one-dimensional rigid box, particles in finite one-dimensional wells: an overview, qualitative discussion of bound-state wave functions, finite square well: exact solution; Afterword: unbound solutions for finite wells; The Simple Harmonic Oscillator and the Hydrogen Atom: The quantum mechanical version of simple harmonic motion: the simple harmonic oscillator, solving the Schrodinger equation for the harmonic oscillator, systems in more than one dimension, the hydrogen atom: spherically symmetric states, and predicting average outcomes: expectation values.
