3. Changing the reference frame A particle is in a state with the angular momentum E = 1, and with its projection m onto a axis specified by the unit vector along it, denoted by e\". Let us also introduce the unit vectors all and Big defined in such a way that ell, Big and 8\" form the usual orthonormal vector basis in three dimensions (tilted in some way relative to the "original" reference frame defined by the unit vectors III, my, 112). Find the particle's wavefunctions for all three possible values of m as functions of a, b, c, the cartesian coordinates of the points in space with respect to this basis, in other words, 'F I a ell + 59.42 + cell, and then rewrite it as a function of the original cartesian coordinates .73, y, 2:, defined by : 'r zwnwlynylznz