Delta Potential Born Approximation: Difference between revisions
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Calculate the Born approximation to the differential and total cross sections for a particle of mass ''m'' off the <math>\delta</math>-function potential <math>V(r)=g\delta^3(r)</math>. | Calculate the Born approximation to the differential and total cross sections for a particle of mass ''m'' off the <math>\delta</math>-function potential <math>V(r)=g\delta^3(r)</math>. | ||
Solution: | |||
Revision as of 21:20, 30 November 2009
Problem
Calculate the Born approximation to the differential and total cross sections for a particle of mass m off the -function potential .
Solution:
i\hbar\frac{\partial \psi(\textbf{r},t)}{\partial t} = \left[ -\frac{\hbar^2}{2m}\nabla^2 + V(\textbf{r})\right]\psi(\textbf{r},t