2. (30 points) A quantum mechanical particle is in an eigenstate ) of β with eigenvalue 2ħ²: At a particular moment, the particle also is in an eigenstate of the x

component of the angular momentum, Î, with eigenvalue 0. In other words, . Express this eigenstate of I, as a normalized superposition of the familiar eigenstates, |lm), of β and Îz, where ο is the z component of the angular momentum.