Please answer this question it is not graded The ground state wavefunction of the Hydrogen atom (r) is a function of the radius ronly, which is related to x, y, and z by r = √x² + y² + z². In terms of x, y, and z, thiswavefunction is:where A is a constant and aothe 3D Schrödinger equationfor the Coulomb potential100 (x, y, z)=Ae¯√²+y²+2²/aois the Bohr radius. Show that this wavefunction satisfiesħ²mke2ħ² 2² 2² 2²+ +2məx² dy² Əz²=2+ V (x, y, z)v(x, y, z) = Ex(x, y, z),V(x, y, z)ke²√x² + y² + z²for some constant E, and find this constant E. You can use Wolfram Alpha or a computerto do the derivatives, but show the rest of the steps.

We have given the potential and wave function we can put these values in Schrodinger equation and…

The ground state wavefunction of the Hydrogen atom (r) is a function of the radius r only, which is related to x, y, and z by r = √x² + y² + z². In terms of x, y, and z, this wavefunction is: where A is a constant and ao the 3D Schrödinger equation for the Coulomb potential 100 (x, y, z) = Ae¯√²+y²+z²/ao is the Bohr radius. Show that this wavefunction satisfies h² mke2 ħ² 2² ² 2² + + 2m მ2 dy² əz² = 2 + V (x, y, z)v(x, y, z) = Ev(x, y, z), V(x, y, z) ke² √x² + y² + z² for some constant E, and find this constant E. You can use Wolfram Alpha or a computer to do the derivatives, but show the rest of the steps.

The ground state wavefunction of the Hydrogen atom (r) is a function of the radius r only, which is related to x, y, and z by r = √x² + y² + z². In terms of x, y, and z, this wavefunction is: where A is a constant and ao the 3D Schrödinger equation for the Coulomb potential 100 (x, y, z) = Ae¯√²+y²+z²/ao is the Bohr radius. Show that this wavefunction satisfies h² mke2 ħ² 2² ² 2² + + 2m მ2 dy² əz² = 2 + V (x, y, z)v(x, y, z) = Ev(x, y, z), V(x, y, z) ke² √x² + y² + z² for some constant E, and find this constant E. You can use Wolfram Alpha or a computer to do the derivatives, but show the rest of the steps.