Stark shift of hydrogenic impurity states in a quantum well

We present a variational calculation for the Stark shift of hydrogenic impurity states in an isolated quantum well under a constant electric field, due to the competition between the quantum-confined effect, impurity Coulomb potential, and electric field. The dependence of the ground impurity binding energy on the width of the well and the impurity position under different electronic fields is calculated. That the impurity at different positions causes different Stark shifts under an electric field is discussed. In a narrow well, the quantum-confined effect depresses the Stark effect.