Physics to Go!
Part 1 - Interactive Quantum Mechanics


The app calculates the basic formula of
quantum mechanics, the one-
dimensional Schrödinger equation for a
set of predefined potentials or a self-
defined potential.

The main page contains fields/lists for

setting the size of the box of the      
system by setting x_min and x_max
setting the step size dt for the time      
evolution, smaller values give more      
accurate results
    picking a potential. Choosing user      
defined you can write an expression      
in the field "potential" (like x^2).
     The parser is relatively simple.
     It unses "x" as variable,
     "+-*/^", brackets "()" and the
     functions sin,cos,tan,exp,log,step
     (step(x)=1 for x>=0, otherwise 0),
     and abs (absolute value).

With "turn" you reach the plotting  window. 
The plot shows real (blue) and  imaginary
(red) part of the wave  function, the right
y-axis shows the  values for the wave
functions. The  potential is plotted in black
(values  correspond to left y-axis). The
white  line depicts the energy of the state.
Following controls exist:
    
  With "width" and "position" you can
     define the width and position of the
     initial Gaussian wavefunction. By
     pressing "Init Function" the wave
function is initialized.
   Pressing "Plot" starts the plotting of
     the time evolution of the wave
     function. With "Stop" you interrupt
     the calculation.
   Choosing "real" or "imaginary" you
     can pick the evolution of the wave
     function in real or imaginary time.
     In imaginary time the solution will
     relax to the static ground state.
     Using real time you see the
     oscillation of the wave function with
    time. The stability of the real-time
     behavior can depend on the size
     of the chosen time step. Note that
     especially for narrow potentials the
     real-time solution can become
     unstable (and obviously incorrect)
     at this stage of the app development.
   You can plot the "groundstate" or      
first "excited state". When picking
     the excited state, the ground state
     will change colors to orange and
     purple.
   With "Turn" you will reach again the
     main page.

                          Enjoy!