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Physics LibreTexts

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.


This page titled 2.3: Simple Example is shared under a CC BY-NC-SA 2.0 license and was authored, remixed, and/or curated by Niels Walet via source content that was edited to the style and standards of the LibreTexts platform.

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