, . ( ) , U () = nst . .
6.38 ______ ______________________
_____________________________________ ______________________
Ψ () = e i = ( = const, = const);
♦ Ψ(x, t ) 6.16.
________________________________________________
(
k ), . . .
___________________________________________________________
t . , : .
6.2.8.
6.39 _________________________
[ ; ; k ; ]
6.40 _____________________________
_______________________________________________________________
. , < 0 > I Ψ() = 0.
_____________________________________________
Ψ(0) = Ψ() = 0, = 0.
Ψ() = sin k = 0
(n = 1,2,3,...).
____________________________________________________________
= ( : )
_____________________________________________
= 0 Ψ(x) = 0, , , .
6.41 _______________________________________________
_______________________________________________
. . , .
, ,
_______________________________________________
_____________
6.18. ( , , ). ( ).
|
|
♦ 1 , . : 41, 91, 161;... ( = 2, 3, 4,...) (. . 6.42).
6.42
______________________________________________
, , , = 2 , . .
6.43 ______________________________
[U0 ; ; ]
6.44 _ ( > U0)______________________________
; λ 1 λ 2 1 2.]
____________________________________________
, ( ),
.
(1 = 1). 2 , 2 = 0.
♦ , Ψ .
6.45 ____________________________________
__________________________________________________________
(\) (n1) .
_______________________________________________________
(2) (n1) .
n1; ; 2
6.46 R D > U0______________________________________________________________
___________________________________________________________
, R + D= 1. R , D . , , 2.
. > U0( ) ( 1 ) 2. 2 , 1.
, > U 0 1> 2 λ 2 > λ.1.
6.47 ( < U0 ) ________________________________
|
|
1 | 2 | |
. . . , 2 = 0 | ||
6.48 R < U0
1 1 | ||
6.46_______________________________________________________
< U0 , . . . |
2 _________________________
, . . < U0
( ), , 2, , . , .