Question

Which among the following represents Schrodinger wave equation?

• A. $\frac{d^2\psi }{d{x}^2}+\frac{d^2\psi }{d{y}^2}+\frac{d^2\psi }{d{z}^2}+\frac{4\pi m}{h}(E-v)\psi =0$
• B. $\hat{H}=\frac{h}{4{\pi }^{2}m}\left(\frac{d^2}{d{x}^2}+\frac{d^2}{d{y}^2}+\frac{d^2}{d{z}^2}\right)+V$
• C. $\hat{H}=\frac{-h^2}{8{\pi }^{2}m}\left(\frac{d^2}{d{x}^2}+\frac{d^2}{d{y}^2}+\frac{d^2}{d{z}^2}\right)+P$
• D. $\frac{d^2\psi }{d{x}^2}+\frac{d^2\psi }{d{y}^2}+\frac{d^2\psi }{d{z}^2}+\frac{8{\pi }^{2}m}{h^2}(E-V)\psi =0$

Answer 1

Answer: (D)

The Schrondinger wave equation is
$\frac{d^2\psi }{d{x}^2}+\frac{d^2\psi }{d{y}^2}+\frac{d^2\psi }{d{z}^2}+\frac{8{\pi }^{2}m}{h^2}(E-V)\psi =0$
(where, $\psi =$ wave function, $m=$ mass of electron, $h=$ Planck's constant, $E=$ total energy of electron, $V=$ potential energy of electron )