Recent content by tis

Figured it out. Take the ground state of the harmonic oscillator \psi_{0} = A e^{-\frac{1}{2}\alpha^{2} x^{2}} and use the orthogonality condition \int_{-\infty}^{\infty} \psi_{0}^{*} \psi_{2} \ dx = 0. From there just expand, cancel out A* and C, and solve the integrals with integration by...

Homework Statement A particle of mass m moves in a 1-D Harmonic oscillator potential with frequency \omega. The second excited state is \psi_{2}(x) = C(2 \alpha^{2} x^{2} + \lambda) e^{-\frac{1}{2} a^{2} x^{2}} with energy eigenvalue E_{2} = \frac{5}{2} \hbar \omega. C and \lambda are...