Hydrogen Atom Radial Functions

The eigenfunctions in spherical coordinates for the hydrogen atom are , where and are the solutions to the radial and angular parts of the Schrödinger equation, respectively, and , , and are the principal, orbital, and magnetic quantum numbers with allowed values , and . The are the spherical harmonics and the radial functions are , where is the -order associated Laguerre polynomial and is the Bohr radius. The left graphic shows the radial probability density and the expectation value , and the right graphic shows the radial function.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.