Question

Need solution to part 2, Hamiltonian keeps breaking down to zero

3(a) The normalised ground state of a one dimensional system in a simple harmonic potential V(x) = aur2 is where α- /mw/ћ and the normalisation constant is given as A-(o2/7) i. Compute the expectation value of the potential energy 〈V〉 in the ground state by explicit integration using the standard integral oO expadz 1x3x5.2n 2na(2n+1)' ii. Show that po is an eigenfunction of the Hamiltonian operator and the correspond- ing eigenvalue is hw 2

Answer 1