The changes in the boundhyphen;state energies and oscillator strength for intersubband transitions brought about by a thin barrier in the middle of an asymmetric quantum well are calculated, with a particularly close look at such changes as the middle barrier height approaches the boundhyphen;state energies. It is found that the oscillator strength goes through a slight change as the barrier height approaches the groundhyphen;state energy but an abrupt change when it approaches the excited boundhyphen;state energy. A suitable explanation for this change is provided. A similar tailoring of the intersubband transitions is also achieved by placing a deltahyphen;function potential in the vicinity of the middle of the well but without any abrupt change in the oscillator strength.
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