Namangan Institute of Engineering and Technology
nammti.uz
10.25.2023
Pg.244
2
),
sin(
)
(
mE
k
x
k
A
x
(7)
Ikkita chegaraviy shartdan foydalanib bo’ldik, yana bitta noma’lum -
A
qoldi.
Buni topish
uchun bizda yana normallashtirish sharti bor. Ushbu masala uchun u quyidagicha yoziladi
L
dx
x
0
2
1
)
(
(8)
Integralni xisoblaylik
1
2
2
)
sin(
)
cos(
)
(
sin
)
(
2
0
2
2
0
2
2
L
A
k
kL
kL
kL
A
dx
kx
A
dx
x
L
L
Bundan
2/L
A
. Demak, yakuniy to’lqin funksiya ko’rinishi
,
,
2
,
sin
2
)
sin(
2
)
(
1,2,3...
n
nπ
L
k
mE
k
x
L
nπ
L
x
k
L
x
n
n
n
n
n
(9)
O’ra ichida zarrachani energiyasini qabul qilish mumkin bo’lgan qiymatlari diskret bo’lib, u
quyidagiga teng
,
2
2
2
2
2
2
2
2
1,2,3...
n
mL
n
m
k
E
n
n
(10)
3-rasm
Ixtiyoriy ketma ket ikkita satx orasidagi farq (10) dan
)
1
2
(
2
2
2
2
1
n
mL
E
E
E
n
n
n
Agar bunga elektron massasi
ã
10
27
ni qo’yib,
10 ñì
L
deb (bu misolni
metalldagi erkin
elektronlar deyish mumkin) xisoblasak
eV
)
1
2
(
10
16
n
E
n
satxlar o’ta quyuq, ya’ni
tutash spektr deyish mumkin. Agar o’ra kengligin
atomlar razmerida
ñì
10
L
8
deb olinsa,
eV
)
1
2
(
10
2
n
E
n
diskretlik kuchli namoyon bo’ladi.
Foydalanilgan adabiyotlar
1.
P.J. Baymatov, B.T.Abdulazizov //
On the Thermodynamics of a Two-Dimensional Electron
Gas with Non-Parabolic Dispersion // World Journal of Condensed Matter Physics, 2016, 6, 294-299,
Published November 17, 2016 SciRes Google based IF=0.80, ResearchGate IF=0.57)
http://www.scirp.org/journal/wjcmp
,
http://dx.doi.org/10.4236/wjcmp.2016.64028
Namangan Institute of Engineering and Technology
nammti.uz
10.25.2023
Pg.245
2. Гулямов Г., Давлатов А.Б., Жураев Х.Н. Статистика электронов в полупроводниковых
нанонитях // Uzbek Journal of Physics. Vol. 22. 5, 275-281, (2020).
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[ B.K.Ridley.Quantum processes in semiconductors.Clarendon Press. Oxford.1982 ]
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Experimental and
Theoretical Investigation of Interband and Intersubband Transitions in Type-II InAs/AlSb
Superlattices.
Physical
Review
B,
64,
Article
ID:
195318.
http://dx.doi.org/10.1103/PhysRevB.64.195318
6. Larrabee, D.C., Khodaparast, G.A., Kono, J., Ueda, K., Nakajima, Y., Nakai, M., Sasa, S., Inoue,
M., Kolokolov, K.I., Li, J. and Ning, C.Z. (2003) Temperature Dependence of Intersubband Transitions
in
InAs/AlSb
Quantum
Wells.
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Physics
Letters,
83,
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http://dx.doi.org/10.1063/1.1626264
7. Г. Гулямов, Н.Ю. Шарибаев. ФТП,
45, 178 (2011).
8. G. Gulyamov, U. I. Erkaboev, N. Yu. Sharibaev, Journal of Modern Physics,
5,680-685, (2014),
http://www.scirp.org/journal/jmp
. http://dx.doi.org/10.4236/jmp.2014.58079
9. G. Gulyamov, N. Yu. Sharibaev , U. I. Erkaboev, World Journal of Condensed Matter Physics,
5,
43-47,
(2015),
http://www.scirp.org/journal/wjcmp
,
http://dx.doi.org/10.4236/wjcmp.2015.51006
10. Abdulazizov B.T., Baymatov P.J. The International Symposium “New
Tendencies of
Developing Fundamental and Applied Physics: Problems,
Achievements, Prospectives”. November
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