Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 15 стр.

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g
µν
= g
µν
g
µν
g =(g
µν
)=(g
µν
)=
1000
0 10 0
0010
00 01
= g
1
.
A
µ
= g
µν
A
ν
,A
µ
= g
µν
A
ν
.
(AB)=A
µ
g
µν
B
ν
.
g
µν
P =(E,p)
S p
E S
S β
p
E
S
p E S
E
= γE Γp
,
p
= γp
ΓE,
p
= p
,
p
=(p
, 0,p
) ,
   C5       /   2  
 "  g µν = gµν 0 / 1     9  0  
  1               1 
      .  0        C  
10   ” 9 1 0   2 ”0 1    
       gµν 1       
                               ⎛            ⎞
                                  1 0  0  0
                                ⎜ 0 −1 0  0 ⎟
         g = (g µν ) = (gµν ) = ⎜           ⎟   −1
                                ⎝ 0 0 −1 0 ⎠ = g .           F"-G
                                  0 0  0 −1
      2 165 C0 1 0 1        
B        ?
                     Aµ = gµν Aν , Aµ = g µν Aν .            F"EG
F@  1    9 2 9     1
    56/   G   1  / B   
165 7 2  1     1 ?
                           (AB) = Aµ gµν B ν .               F"+G
     .   gµν    ”  ”0 51  5
6    C      0 1 0  2 Q-R
     % 1       B   C  0
     0 2/ Q-0 *R  2/ 2/
                                  PPP
     ; 0 1   B   P = (E, p) 1 1  /   
      2 1  5 1   4  
   1 / 1 
     .         S    1  p 
7 25 E  .  2      S  C    
S   5 β 0  1   ""
     I2  1  p   7 2 E  7  C       
S      p  E   S  9 
  


                       E      = γE − Γp ,
                       p     = γp − ΓE ,                  F",G
                       p ⊥    = p⊥ ,
                           
                        p      = (p ⊥ , 0, p  ) ,

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