Consider the one-dimensional inotion of an clectrou confined to a po- tential well V(r) = } k:u? and subjected also to a perturbing clectric field F = Fx. (a) Determine the shift in the encrgy levels of this system due to the electric ficld. (b) The dipole moinent of this system in state is defiucd as P, = -e(x),, where (x),, is the expectation value of x in the state n. Find the dipole moment of the system in the presence of the electric ficld.

Consider the one-dimensional inotion of an clectrou confined to a po- tential well V(r) = } k:u? and subjected also to a perturbing clectric field F = Fx. (a) Determine the shift in the encrgy levels of this system due to the electric ficld. (b) The dipole moinent of this system in state is defiucd as P, = -e(x),, where (x),, is the expectation value of x in the state n. Find the dipole moment of the system in the presence of the electric ficld.