#
PARTICLE in a SQUARE WELL

###
*k* is the wavenumber that we discussed a lot recently.

How did we get this solution??? basically it is a clever guess, based on knowledge about this type of wave equation.

All wavefunctions must obey
4 conditions:

### One peak in the probability for each * n * of the energy level!
Remember this... e.g. for n=3 the probability of finding a particle is zero at
L=0, L=L/3, L=2L/3, L=L etc.

### The last half page here belongs to the topic about the Quantum
Harmonic Oscillator

See
a picture
and movies of the
Schroedinger Equation
solutions. (These are downloadable mpeg files.)
The full movie can be downloaded in two parts
part I
and part II

There is also an interactive matlab solver for the Schroedinger equation,
prepared by Dany Regelman. It can be downloaded here .

### We continue to a discussion of what happens when the well is finite?

Look at the FINITE WELL PAGE

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PHYSICS 3- HOMEPAGE