Zarralarning potensial to‘siqdan o‘tishi. Tunnel effekti

I, II, III sohalarda zarralarning to‘lqin funksiyalari _I, _II, _III bo‘lsin. Har bir soha uchun Shredinger tenglamasi quyidagi ko‘rinishda yoziladi:

h

2

2

ü

I sohada :

-

d 



= E

bunda

U0

= 0

ï

2

2m dx

ï

h^2d^2

ï

II sohada :

-

+U

= E

bunda

U

0

= U ý (5.92)

2m

dx^2

ï

h

2

2

ï

III sohada :

-

^d^

= E

bunda

U0

= 0

ï

2m

2

dx

þ

K ^2va

K 2

belgilashlar kiritib, bu

tenglamalarni quyidagicha

1

2

yozish mumkin:

2m

K ^2=

E

(5.93)