- #1
gysush
- 26
- 0
Given that E(n) = (n^2)E, and that our wave function PSI = 1/Sqrt(14)(Psi(1) + 2*Psi(2) + 3*Psi(3), what is the the value for the measurement of the energy?
So, <H> = SUM((c(n)^2)*E(n))
where E(n) = (n^2)*E and c(1)=1/sqrt(14), c(2)=2/sqrt(14), c(3)=3/sqrt(14), which satisfies SUM(c(n)^2) = 1
Thus, <H> =
= 1/14*(E + 4*4*E + 9*9*E) = 7*E
but the answer key says 9*E...what am I doing wrong?
So, <H> = SUM((c(n)^2)*E(n))
where E(n) = (n^2)*E and c(1)=1/sqrt(14), c(2)=2/sqrt(14), c(3)=3/sqrt(14), which satisfies SUM(c(n)^2) = 1
Thus, <H> =
= 1/14*(E + 4*4*E + 9*9*E) = 7*E
but the answer key says 9*E...what am I doing wrong?