Consider the electron-hole overlap integral Mnn for a quantum well given by: Min = 1.700 Pen' (z) Phn (z) dz. (i) Show that Mon is unity if n = n' and zero otherwise in a quantum well with infinite barriers. (ii) Show that Mnn is zero if (n-n') is an odd number in a quantum well with finite barriers.

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Consider the electron-hole overlap integral Mnn for a
quantum well given by:
Mn
Pen (2) Pnn (z) dz.
%3D
- 00
n' and zerd
(i) Show that Mon is unity if n
otherwise in a quantum well with infinite barriers.
(ii) Show that Mon is zero if (n-n') is an odd number
in a quantum well with finite barriers.
Transcribed Image Text:Consider the electron-hole overlap integral Mnn for a quantum well given by: Mn Pen (2) Pnn (z) dz. %3D - 00 n' and zerd (i) Show that Mon is unity if n otherwise in a quantum well with infinite barriers. (ii) Show that Mon is zero if (n-n') is an odd number in a quantum well with finite barriers.
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