This program numerically solves the Schrodinger
equation for a bound particle. You specify the potential well, the
energy level and the parity; and the program integrates the equation and
graphs the potential function, the wave function, and the energy level.
You have eight choices for the potential well:
Simple harmonic oscillator (V(x) = x*x/2)
Infinite square well, half width 1
Finite square well, half width 1 (you specify
the depth)
"Linear potential" (V(x) = |x|)
Ammonia atom model (V(x) = k*(|x|-A)*(|x|-A)/2
--you specify k and A)
Infinite square well, half width 1, with square
perturbation--you choose the half width and the height/depth of perturbation
hydrogen atom--Coulomb potential with "centrifugal"
term--you choose l (0, 1, or 2)
specify any potential in Pascal function format
After you have chosen a potential, you then
enter an energy level and the parity; these set the initial conditions
for the integration. After the integration is completed and the graph
is done you can enter another energy or parity, or choose another potential.
