# Collision of a Free Particle with a Potential Field

Chapter

## Abstract

In the previous chapter we discussed the motion of a free particle. Now we consider the collision (scattering) of a free particle with (by) a potential field. In the presence of a potential, Eq. (2.3.3) changes to (Burke, 1977) where

$$ \left[ { - \begin{array}{*{20}{c}}
{{\hbar ^2}}\\
{\overline {2m} }
\end{array}{\nabla ^2} + V(r)} \right]\Psi (r) = E\Psi (r) $$

(1)

*V*_{ (r) }is the potential energy of the particle. In the asymptotic region, where*V*_{ (r) }= 0, (3.1.1) admits two solutions.## Keywords

Differential Cross Section Partial Wave Free Particle Born Approximation Elastic Cross Section
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media New York 2001