Which of the following is the correct mathematical representation of the Schrodinger wave equation f — Atomic Structure Chemistry Question

💡 Solution & Explanation

The Schrodinger wave equation in Cartesian coordinates is $\frac{\partial^2 \psi}{\partial x^2} + \frac{\partial^2 \psi}{\partial y^2} + \frac{\partial^2 \psi}{\partial z^2} + \frac{8\pi^2 m}{h^2}(E - V)\psi = 0$. Substituting the Laplacian operator $ abla^2 = \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + \frac{\partial^2}{\partial z^2}$, the equation becomes $ abla^2 \psi + \frac{8\pi^2 m}{h^2}(E - V)\psi = 0$.