- #1
opous
- 16
- 0
Homework Statement
Use the Schrodinger Equation to show that
[tex]\frac{\partial}{\partial t}(\Psi^{*} \Psi) = - \underline{\nabla}. \underline{j}[/tex]
Homework Equations
[tex]\underline{j} = \frac{-i}{2m} \left[\Psi^{*}(\nabla \Psi) - (\nabla \Psi^{*})\Psi]\right[/tex]
[tex]\frac{\partial}{\partial t}n(x,t) = -\underline{\nabla}. \underline{j}(x,t)[/tex]
[tex]n(x,t) = \Psi^{*}(x,t)\Psi (x,t)[/tex]
I'm not sure how the Schrodinger equation comes into play here... can anyone offer any suggestions?