Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 229 стр.

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МГУ | Москва

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D
s
(r
−1
) (2s+1)
r D
†
D =1
” ”
η
(m)
= D
(s)
m
m
· η
r
(m
)
O S η
(m)
O
r
S
η
r
(m
)
O S
s |sm > O
r
S
r
S r
|sm >
S
r
|sm >
S
r
= D
(s)
m
m
(r
−1
) ·|sm
>.
|sm > |sm >
r
|sm >
r
|sm >
r
= D
(s)
m
m
(r) ·|sm
>,
U(r)
r
|sm >
r
= U(r)|sm > .
D
(s)
m
m
(r)=<sm
|U(r)|sm >
|sm >
S
r
= U
r
−1
|sm > .
1/2
σ
j
ˆs
j
2   Ds(r−1 )  5    (2s+1) 2 1   
  211 6  r F80    0  ? D† D = 1G
.  2  F"-BG0  / 1 F”  ”G?
                                        (s)
                           η(m) = Dm m · η(m
                                           r
                                              )       F"-" G
>     C      ?   0 1   
 5   O   S  η(m) 0 1    5   Or 0
 56 1      S     0 1 
1    η(m
                    r
                       ) 0 / 
                                        /
   ;   ? 2   5   O      S  
  1 s   |sm >0  5   Or 0    
      S r 0 1    S 6   r0    
   |sm >S 0 2
                   r


                                  (s)
                  |sm >S r = Dm m (r−1 ) · |sm > .        F"-"AG
   81 0 1  2          / 
2 2  0 C 2      1  
F 6 G   |sm > |sm >r 0      F"-BG0 1 
|sm >r     0  
                                  (s)
                    |sm >r = Dm m (r) · |sm > ,    F"-"BG
  C 1   2 2  0  7  1   
    / 0   0   1   U (r)0 1   56
 6  r   56 1     ?
                       |sm >r = U (r)|sm > .         F"-"-G
8 5   0  
                     (s)
                   Dm m (r) =< sm |U (r)|sm >
                                                    F"-"EG
 C  F"-"AG 1  
                                 
                    |sm >S = U r−1 |sm > .
                              r                      F"-"+G
   A       "         1/23
"G   .  σj     0 1   5 1  
1   1 ŝj 0   2 N 5    C 

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