Question

Consider a particle described by the wave function $\Psi (r,t)$ Calculate the time derivative $\frac{\partial p(r,t)}{\partial t}$ in where is the probability density, and shows that the continuity equation $\frac{\partial p(r,t)}{\partial t}+\bigtriangledown \cdot J(r,t) = 0$ is valid, where the probability current $J(r,t) = \frac{1}{m}Re\left [ \Psi \ast (\frac{h}{i}\bigtriangledown \Psi ) \right ]$ Use the Schrodinger equation.

Answer 1