What is the Stark Effect? This article discusses the spectroscopic effect of strong electric fields known as the Stark effect, named for Johannes Stark, the first to experimentally demonstrate the effect.
Snell's Law in Vector Form. Usually described in simple single plane coordinates, Snell's law is much more useful when you consider possible refraction out of the plane. To accomplish calculations of this type requires a vector form of the law of refraction.
Snell's law is the one of the first things you learn in an optics class. It is the basis of all refractive optics from your eyeglasses to microscopes and telescopes and even much of the information super highway made of fiber optics and the associated components. But the textbook version of Snell's law always seems to be in a contrived coordinate system with all the light travel in the plane of the page. To use a coordinate system that is more natural to the situation, you need a vector form for Snell's law.
Basics of Laser Beam Propagation. Here are some of the formulas and descriptions of wave phenomena in coherent beams. This is a work in progress, so please have patience, but go ahead and tell me if you see something wrong!
Hydrogen Atom Wavefunctions. So, your're sitting around the apartment one day, there is nothin' on the tube, and you start wondering "What are the energy levels of atomic hydrogen? I'd have to know that to figure out the wavelengths of the spectral lines emitted by a hydrogen atom." Then, suddenly, you realize, "Oh my goodness! I'd have to solve the Schrödinger equation and find the the wavefunctions for the hydrogen atom to find out something like that." Here are those wavefunctions and energy levels all spelled out for you.
If you were just wondering what the energy levels of the hydrogen atom are, and how to find them by solving the Shrödinger equation, you are in luck! On this page, we display the hydrogen atom wavefunctions and energy levels which can be scaled to any hydrogen-like atom (single electron ion).