# Particle moving in a delta potential

A particle of mass m, with energy E>0, is moving in the potential

V(x)=g[delta(x+a) + delta(x-a)]

Assuming that the particle is incident from the left, what is the solution of the Schrodinger equation in all three regions (x<a, -a<x<a, x>a) for this situation? Also, what are the appropriate continuity conditions at x=+a and x= -a?

© BrainMass Inc. brainmass.com June 20, 2018, 10:42 pm ad1c9bdddf#### Solution Preview

See attached files.

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begin{document}

title{Particle moving in a delta potential}

date{}

maketitle

The Schr"odinger equation is:

begin{equation}label{sch}

-frac{hbar^{2}}{2m}frac{partial^{2}}{partial ...

#### Solution Summary

We explain how to solve the Schrödinger equation for the potential V(x)=g[delta(x+a) + delta(x-a)]. We consider the case of an unbound particle with positive energy.