10. Consider the asymmetric potential well shown to
the right.
?, x < 0
Vo, 0 < x < a
V(x) =
0, a < x < 5a
V1, x > 5a
Make a qualitative sketch of the two energy eigen-
state wave functions whose energies are indicated,
the 3rd and 6th levels. Annotate both sketches in
some detail - indicate the classically allowed and
forbidden regions, discuss all important features
of each state. Make it clear in words if things are
not totally obvious (e.g. if something is an ex-
ponential function, if its wavelength is larger or
smaller in one region than another, etc).
