This applet creates an equation which is the solution to
Schrodinger's equation for Hydrogen with a single electron.

What is returned to the user is

where solves the equation

for a potential of .

The magnitude of the wave is not normalized, and the radial
variable is normalized such that r in this problem has been
multiplied by . The energy level is related to
the actual energy of the electron by

where

and the scaled radial variable
solves the
equation

In addition, the user can select to see the real or imaginary portions
of the solution, as well as the Associated Legendre function or
the radial solution for the given energy levels.

Fundamentals

Select the desired solution from the wavefunction, the Legendre functions,
or the radial solution.

Select the value of l, m, and n for which you would like to see a solution.