Wavefunctions and Energy Levels of the Hydrogen Atom
Joachim Köppen Kiel/Strasbourg March 2013
Some quick explanations of the applet's use:
Left hand buttons
- input: shows the input parameter page
- clear plot: right hand plot will show the wavefunction as a function
of radial distance from the nucleus
- clear scanplot: right hand plot will show the sign of the wavefunction
(red = positive) as a function of radial distance from the nucleus while
scanning thru the electron's energy
- clear ritzplot: right hand plot will show the value (or +1, -1) of the
wavefunction at the last radial distance, while scanning thru the electron
energy
Left hand panel = model input parameters
- radial step: integration stepwidth
- angular momentum: of the electron
- (min.) energy: lower bound for energy scan
- no.of energies: number of values in energy scan
- max.energy: upper bound for energy scan
- max.radius: the maximum radial distance from the nucleus
up to which the wavefunctions are computed
- R(0)=: initial value of wavefunction (at the nucleus)
- R'(0)=: initial radial derivative of wavefunction
- hitting the enter key while in a textfield - after changing the
parameter value, for example - will start the next simulation
Right hand buttons:
- start: start the simulation with the parameters as given on the left
hand panel
- stop: halts the current simulation
- resume: continues with the halting simulation
- drag&zoom: click the button, then drag the mouse over that region of
the plot which you want to zoom in. Then re-run the simulation
- unZoom: brings back the full view of the plot, but you have to re-run
to restore the curve(s)
- clicking on the plot surface will display the x and y-values of
that point