Answer to Question #295973 in Quantum Mechanics for Chandrakant

Question

Derive schrodinger wave equation in its time dependent form

Answer 1

$i\hbar\frac{\partial}{\partial t}\psi=\hat H(p,q)\psi,$

$\hat H=-\frac{\hbar^2}{2m}\nabla^2+V(\vec r,t),$

$i\hbar\frac{\partial}{\partial t}\psi(\vec r,t)=[-\frac{\hbar^2}{2m}\nabla^2+V(\vec r,t)]\psi(\vec r,t).$