Recent content by fandango92

Homework Statement Consider a molecule with an electric dipole moment d. The Hamiltonian of a molecule in the external electric field E is: \hat{H} = \frac{\hat{L^2}}{2I} - dE \cos{\theta}, where the polar angle \theta characterises the orientation of the molecule. (We have chosen the field...

Sorry I forgot to mention this is for l=1. Okay, but I used L_z eigenvalues of m\hbar, where m=-1,0,1 in this case, and used L_x=\frac{1}{2}(L_+ + L_- ). I have called the z component the one in which is certain, so how can the x component squared in this case have the same eigenvalues as the z...

Homework Statement Calculate the eigenvalues of the L_x^2 matrix. Calculate the eigenvalues of the L_z^2 matrix. Compare these and comment on the result. Homework Equations L_x=\frac{1}{2}(L_+ + L_- ) The Attempt at a Solution I have derived eigenvalues for each: 0 and \hbar^2...