Using the "inverse power iteration" process, write a PYTHON program that solves and wavefunction of 1-D Schrdinger equation and ground state energy for a given potential energy (electron volts).

Solving this equation with simulation region as x[-1,1] , nanometers unit and lastly spaced 101 points like x₁= -1 and x₁₀₁ = 1.

Transform the equation into a unitless matrix equation with using "finite difference approximations".

Program should be able to ^. find the solutions for 2 different potential profiles, test case where analytical solution is available for example infinite barrier quantum well or harmonic oscillator. ^. plotting the wavefunction curves and the potential energy.

t2 d2 +V(x) Y(x) = EY(x) 2m dr? (n)46) = E * t2 d2 +V(x) Y(x) = EY(x) 2m dr? (n)46) = E *