Physics208010 marksOutline of the solution of Schrodinger equation for H-atom
Setup Schrodinger equation for Hydrogen atom using spherical polar coordinates. Separate radial and angular part of this equation using appropriate separation constant. Discuss the separation constant and hence the quantum numbers associated with these two equations. What information can be drawn fr
Setup Schrodinger equation for Hydrogen atom using spherical polar coordinates. Separate radial and angular part of this equation using appropriate separation constant. Discuss the separation constant and hence the quantum numbers associated with these two equations. What information can be drawn from the angular part of the Schrodinger equation? Explain.[10]
The hydrogen atom consists of one proton (nucleus) and one electron revolving around it. The potential energy of the electron due to electrostatic attraction is: $$V(r) = -\frac{e^2}{4\pi\epsilon0 r}$$ The time-independent Schrödinger equation in Cartesian coordinates is: $$\nabla^2\psi + \frac{2...