Question

(i) Write down the time independent Schrödinger equation for the harmonic oscillator potential. Then confirm that the ground state wave function (n= 0) is a solution with the energy 퐸(=)*++푛.ℏ휔,푛=0,1,2,...(plug in the function, differentiate, and confirm it is a solution).

Answer 1

Answer:

Explanation:

The Shrodinger equation is not written clearly. I am giving the link and attaching a file that might help. The one dimensional time independent

Schrodinger equation for Harmonic ocsillator

d²ψ/dx² = - 2mq/h² (E - U(x))ψ

here h is reffered as h curt

https://arxiv.org/pdf/quant-ph/0305158