``Configure'' Parameter Definitions for
schrdgr
Allows one to reset most of the parameters in the simulation. Two
important things to note!
- If the number is still red, you need to hit Enter for the
program to know the new number!
- If the parameters change while the Configure window is open,
the window will not reflect the new numbers unless you
hit the ``Revert'' button in the top middle. This mostly
happens when one loads presets (not used in schrdgr).
The individual items that one can configure are:
- Potential at Bottom (Vbottom):
the value of V(x) at the bottom of the square well (either
infinite or shelf).
- Potential at Shelf (Vshelf):
the value of V(x) on the shelf X > Xshelf
for the square wells.
- Position of Shelf (Xshelf):
the size of the bottom of the square well: V(x) equals
Vbottom for 0 < X < Xshelf.
- Shrink energy y-axis by:Factor to shrink potentials
by, so that they don't consume all the real estate of the graphs.
- Initial Psi at x=0: The starting value for
at the left boundary X=0. For each of our problems,
at X=0: the square-well potentials have
V(x)=infinity for X < 0, and for the Hydrogen atom the trick
that maps the three-dimensional problem to two dimensions also demands
that as .
- Initial PsiPrime at x=0: Derivative of
with respect to X at X=0. This actually doesn't
matter to us, since we normalize the wave function. The ratio of
Psi to PsiPrime is important in other problems.
- Spatial step delta_x (nm): How large a numerical step to
take in solving Schrödinger's equation. If the program is too slow,
try making delta_x larger; if you want better accuracy, make it smaller.
Statistical Mechanics: Entropy, Order Parameters, and Complexity,
now available at
Oxford University Press
(USA,
Europe).