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 )