Hello everyone,
So I have a normalized wavefunction phi(x). I am told what [Integral (phi)*H(phi)] is. I am supposed to approximate the ground state energy of such function. I know [Integral (phi)*H(phi)]/[Integral (phi)*(phi)] = Energy. If phi(x) is normalized then the denominator should be 1. I have taken the derivative of the numerator (which is the only thing left now that the denominator is one) and received two values (a negative value and a positive value). I plugged these values from the derivative of the energy back into the original [Integral (phi)*H(phi)] function to receive what I thought should be the energy approximation. I basically get 4.94 when the REAL result of the ACTUAL wavefunction is 0.125. Does my process seem to be correct?
I am not listing the actual problem here because it is a homework problem that others have and I want them to work it out fully rather than searching and finding this site on google.
Thank you for your input.