_____________________________________________
___________________________________________________
, , . 5.50, , X = /.
________________________________________________
(50 ) ( 1 ).
__________________________________________________________
, ( 104 ), , ,
. , , .
♦ , , . , , .
6. 16 _________________________________________________________
- , , , .
. , , . , (ω , k ). , , 6.22.
6. 17 _____________________________________
4.47 ______________________________________________
______________________________________________________
, , , (),
[ω ; k ; ; ; ; υ ; ; ]
(, 1 ) . , .
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6.18 _______
() ( , , z ) ( ), .
____________________________________________
, , , (), (), . , , .
6.19 ______________
[ ; , ]
_____________ _________________
- , . . , .
6.20
________________________ _________
, , , - . (, ) . , , , , .
♦ , , , . () , .
6.2.3.
( ) ( -) , . . 6.16.
|
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6.21 _________________
t + Δ , + Δ , + Δz , . . -. Ψ , .
[Ψ* , Ψ]
6.22 Ψ-________________________________
\ I.
, . . t . , , , , . ( , , ).
t V.
. dV , , , , t - . , 1.
♦ . ( ), ( ) ( )
6.23 _________
- ( ) , Ψ'1, Ψ2,..., Ψ ,..., Ψ, .
[ ( = 1, 2,...) ( ) , n, . . |n|2, , , Ψ, Ψ n. ( ), ( ) , ]
6.2.4.
6.24 ___________________
6.22 6.18 , , , , . , , , I), , , , I?!2, I (IV, . . + , / + , + . , , , .
__________________________________________________
, .
, ______________________________________
♦ : , .
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♦ .
♦ |Ψ|2 ( 6.22).
♦ ( υ ). [ , , Δ , i- , U(x,y,z,t) , , Ψ(x,y,z,t) ]
6.25 ________________________________________
( )_______________________________
( U = U (x,y,z) ) : , ( )
____________________________________________
.
[Ψ - () Ψ(x,y,z,t) - ; Δ - ]
_______________________________________________________
. , Ψ (Ψ , ). , . . , .