Which of the following is the correct mathematical representation of the Schrodinger wave equation f — Atomic Structure Chemistry Question
Question
Which of the following is the correct mathematical representation of the Schrodinger wave equation for a hydrogen atom using the Laplacian operator ($\nabla^2$)?
Answer: B
💡 Solution & Explanation
The Cartesian Schrodinger equation is $\frac{\partial^2\psi}{\partial x^2} + \frac{\partial^2\psi}{\partial y^2} + \frac{\partial^2\psi}{\partial z^2} + \frac{8\pi^2m}{h^2}(E-V)\psi = 0$. Substituting the Laplacian operator $\nabla^2$ gives $\nabla^2 \psi + \frac{8\pi^2m}{h^2}(E - V)\psi = 0$.
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