Modern 2:Probability Currents

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Modern 2

I will go through section 3.5 on The Probability Current.

On Wednesday we will describe a number of scattering and bound-state problems. Try to set up, on your own, the solution of the Schrodinger for a square well potential. I.e., $V(x) = 0 \hbox{ for } x < 0 \hbox{ and } x> a \$. And $V(x) = -V_0 \hbox{ for } 0 \leq x \leq a$. Treat a plane wave incident from the left with an energy E.

Here are some nice pics of examples of potentials:

optical lattices

these experiments are hard

the wells correspond to standing waves of the E field