Overview of Classical Mechanics and Electrodynamics.
For a pdf file, please click here . .
Plane Waves and their Superposition (Wave Packets).
Please click here to see the sequence of images showing one plane wave, two plane waves, the superposition of two plane waves, and the superposition of five plane waves.
Postulates of Quantum Mechanics.
For a pdf file, please click here . .
Particle in a One-Dimensional Box.
Please click here to see the following plots: (i) the eigenfunctions with n=1-4; (ii) the squares of the eigenfunctions with n=1-4; (iii) the n=100 eigenfunction; and (iv) the square of the n=100 eigenfunction. The box width a equals 1. The mass m of the particle equals 5.
One-Dimensional Harmonic Oscillator.
Please click here to see the following: (i) the Hermite polynomials with n=0-8; (ii) the eigenfunctions of the harmonic oscillator with n=0-8; (iii) the plot with the n=0-6 eigenfunctions; (iv) the plot with the squares of the n=0-6 eigenfunctions; (v) the plot with the n=50-56 eigenfunctions; (vi) the plot with the squares of the n=50-56 eigenfunctions; and (vi) the plot comparing the quantum-mechanical probability density for the n=50 eigenstate (square of the n=50 eigenfunction; black curve) with the probability density characterizing the classical harmonic oscillator (purple curve).
Eigenfunctions of angular momentum (spherical harmonics) and eigenfunctions for the hydrogen-like atoms.
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Radial probability functions for the hydrogen atom.
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