Delta Potential Born Approximation: Difference between revisions
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Problem | Problem | ||
Calculate the Born approximation to the differential and total cross sections for a particle of mass ''m'' off the | Calculate the Born approximation to the differential and total cross sections for a particle of mass ''m'' off the \delta-function potential <math>V(r)=g\delta^3(r)</math>. | ||
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 | 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 | ||
Revision as of 21:18, 30 November 2009
Problem Calculate the Born approximation to the differential and total cross sections for a particle of mass m off the \delta-function potential .
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