Using Airy functions an analytical expression is obtained for the transmission coefficient of double-barrier quantum well structures under bias. The function which determines the resonance energies follows from this result. It allows one to calculate the variations of the shift of the resonance energies with applied field (Stark effect). A number of examples are given of such variations for electrons and holes in the ground state and in the first excited state. Comparison is also made with results obtained when using some approximate expressions for the Stark shift.
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F. Berz (1993) studied this question.
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