(D) The Schrodinger wave equation for a system is given by: $\frac{d^2 \psi}{dx^2} + \frac{d^2 \psi}{dy^2} + \frac{d^2 \psi}{dz^2} + \frac{8 \pi^2 m}{

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$\frac{d^2 \psi}{dx^2} + \frac{d^2 \psi}{dy^2} + \frac{d^2 \psi}{dz^2} + \frac{8 \pi^2 m}{h^2}(E - V) \psi = 0$

(D) The Schrodinger wave equation for a system is given by: $\frac{d^2 \psi}{dx^2} + \frac{d^2 \psi}{dy^2} + \frac{d^2 \psi}{dz^2} + \frac{8 \pi^2 m}{h^2}(E - V) \psi = 0$ Here,$\psi$ is the wave function,$m$ is the mass of the particle,$h$ is Planck's constant,$E$ is the total energy,and $V$ is the potential energy.

Class 11 Chemistry Structure of Atom Uncertainty principle and Schrodinger wave equation

Medium

Which among the following represents the Schrodinger wave equation?

AP EAMCET 2020 All AP EAMCET

A
$\frac{d^2 \psi}{dx^2} + \frac{d^2 \psi}{dy^2} + \frac{d^2 \psi}{dz^2} + \frac{4 \pi m}{h}(E - V) \psi = 0$
B
$\hat{H} = \frac{h}{4 \pi^2 m} \left( \frac{d^2}{dx^2} + \frac{d^2}{dy^2} + \frac{d^2}{dz^2} \right) + V$
C
$\hat{H} = \frac{-h^2}{8 \pi^2 m} \left( \frac{d^2}{dx^2} + \frac{d^2}{dy^2} + \frac{d^2}{dz^2} \right) + V$
D
$\frac{d^2 \psi}{dx^2} + \frac{d^2 \psi}{dy^2} + \frac{d^2 \psi}{dz^2} + \frac{8 \pi^2 m}{h^2}(E - V) \psi = 0$