Modern 2:Square Well Potentials

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Revision as of 17:53, 8 March 2006

Here is the math behind the easiest case. An infinite square well. I will do this in detail in class. the finite square well (pdf file).

Also, at this point it is useful to compare the QM results with what you would get with the closest classical analogy, a string with clamped ends.

This applet explores energy levels, bound states, boundary conditions and lots more. Run it until you understand it. square well java applet

Here is the math behind the finite square well. I wil cover most of this in class. finite square well math

Here is an animation of a gaussian wavepacket in an infinite square well wavepacket animation

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-* This applet explores energy levels, bound states, boundary conditions and lots more.  Run it until you understand it. [http://webphysics.davidson.edu/faculty/dmb/SingleWells/Well2.html square well java applet]
+===finite and infinite square well potentials ===
 * Here is the math behind the easiest case.  An infinite square well.  I   will do this in detail in class. [http://panda.unm.edu/Courses/Fields/phys491/notes/TISEInfiniteSquare.pdf the finite square well (pdf file)].
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 * [http://mesoscopic.mines.edu/~jscales/320/squarewellstates.nb A simple mathematica notebook showing the eigenstates and their time dependence]
+* This applet explores energy levels, bound states, boundary conditions and lots more.  Run it until you understand it. [http://webphysics.davidson.edu/faculty/dmb/SingleWells/Well2.html square well java applet]
 * Here is the math behind the finite square well.  I wil cover most of this in class.  [http://electron6.phys.utk.edu/qm1/modules/m2/square_well.htm finite square well math]
 * Here is an animation of a gaussian wavepacket in an infinite square well [http://www.optics.rochester.edu/~stroud/animations/swgaussian.html wavepacket animation]