This document discusses quantum wells and their properties. It introduces quantum wells, which are nanostructures that confine particles in one dimension. The document then analyzes the electronic properties of multiple quantum wells and how they are affected by an applied electric field. It also examines transition moment operators and optical absorption in quantum wells.

2. -
DC -
DC

3. -
DC

4. k

5. -
z

6. Bi(x) Ai(x)
Ai(x) 2 d 2
eEz ( z) Ez ( z)
2mr dz 2
1/ 3
2mr eF Ez
change of variable Z z
2 eF
d 2 (Z )
2
Z (Z ) 0
dZ
Z 2 3/ 2 2 3/ 2
( Z ) Ai( Z ) I 1/ 3 Z I1 / 3 Z
3 3 3
Z 2 3/ 2 2 3/ 2
( Z) Ai( Z ) J 1/ 3 Z J1/ 3 Z
3 3 3

9. ”
“

10. P
DC

11. P
S

12. 



13. 



14. -
”
DC
“

15. - -

17. S n=2
P
P S
P S

19. E=0

20. 19
GaAs -

21. 20
MQW

22. 21
-
-
push

23. 22
” GaAs
“

24. 23
u
Transition moment
operator

25. MQW
l h
- –
GaAs