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In the first case we read off that
A1 = B3, and we find that k and
are related by
ka = atan a. |
(4.17) |
This equation can be solved graphically. Use
k =
, with
=
V0, and find that
there is always at least one solution of this kind, no matter how small
V0!
Figure 4.2:
The graphical solution for the even states of the square well.
|
|
In the middle region all these solutions behave like sines, and you
will be asked to show that the solutions are invariant
when x goes
to - x. (We say that these functions are even.)