Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 57 стр.

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S
A =(A
0
, A) (A
0
,A
1
,A
2
,A
3
) (A
0
,A
x
,A
y
,A
z
)
A
0
= γ
A
0
βA
3
,A
1
= A
1
=
v
c
A
2
= A
2
,A
3
= γ
A
3
βA
0
=
1
1 β
2
ξ
β =tanhξ, γ=coshξ, β· γ = sinh ξ ;
S S
S

S

S
Z
S
β
1
S S

β
2
S
β
3
S
ξ
3
= ξ
1
+ ξ
2
,
β
i
1 2
1 2
u
1
u
2
u
µ
u
µ
u
µ
u
µ
=1 2 S
S u
1
u
2
   9 /    S F ABG 9 / 50 
1   B   A = (A0 , A) ≡ (A0 , A1 , A2 , A3 ) ≡ (A0 , Ax , Ay , Az )
1 5  2     F"""G?
              0                              1              v
         A       = γ A0 − βA3      ,        A = A1 , β =
                                                             c
              2            3                                     1
         A       = A2 , A = γ A3 − βA0            , γ=
                                                                 1 − β2

   9 ξ        F  21  G   1                       
   F""EG?
                  β = tanh ξ , γ = cosh ξ , β · γ = sinh ξ ;
   1 F  F""+G0   1 / 1   /
1  / /    S S     S 0 2    S  
C     S  C 1   Z 0 1   
  S    β1 F     S G0       S   
β2 F      S   β3      S G0        /
  ?
                                ξ3 = ξ1 + ξ2 ,
   1 1    1  / 1 / 2 2
1  / 4        5 0      
     βi   0       
     1          0   7 
       20          
 0       0     2  
   
    8  0    165 1  B  C 
   1  6 1   4    
1  2 1    0   1       
    1       QA!R F 
  0     2   1  0      /
 /G
          0        1  2    
      1     0 1 0  
10  5      1   2   0  C
1      B          0
1  0     B  u1  u2    B  0
   1 1    5 B     0   uµ uµ 0   
 ? uµ u = 1 .    1   2  S 0  
           µ

/    S 9     B  u1  u2  4 2
                                        -+