2.3: Simple Example
( \newcommand{\kernel}{\mathrm{null}\,}\)
We can define all these concepts (velocity, momentum, potential) in one dimensionas well as in three dimensions. Let us look at the example for a barrier
V(x)=[0|x|>aV0|x|<a|
We can't find a solution for E less than 0 (no solution for v ). For energy less then V0 the particles can move left or right from the barrier, with constant velocity, but will make a hard bounce at the barrier (sign of v is not determined from energy). For energies higher than V0 particles can move from one side to the other, but will move slower if they are above the barrier.