Phy5645/Energy conservation: Difference between revisions

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==  Example 1  ==
==  Example 1  ==
Consider a particle moving in a potential <math>V(\textbf{r})</math>, (1) Prove the energy density: <math><E>=\left[\frac{\hbar^2}{2m}\nabla\psi^*\cdot\nabla\psi\right]
Consider a particle moving in a potential field <math>V(\textbf{r})</math>, (1) Prove the energy density: <math><E>=\int W d^3x=\int\left[\frac{\hbar^2}{2m}\nabla\psi^*\cdot\nabla\psi\right]d^3x

Revision as of 15:23, 9 December 2009

Example 1

Consider a particle moving in a potential field , (1) Prove the energy density: <math><E>=\int W d^3x=\int\left[\frac{\hbar^2}{2m}\nabla\psi^*\cdot\nabla\psi\right]d^3x