Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 156 стр.

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s ≡ s
ab
=(P
a
+ P
b
)
2
=(P
1
+ P
2
+ P
3
)
2
,
s
1
≡ s
12
=(P
1
+ P
2
)
2
=(P
a
+ P
b
−P
3
)
2
,
s
2
≡ s
23
=(P
2
+ P
3
)
2
=(P
a
+ P
b
−P
1
)
2
,
t
1
≡ t
a1
=(P
a
−P
1
)
2
=(P
2
+ P
3
−P
b
)
2
,
t
2
≡ t
b3
=(P
b
−P
3
)
2
=(P
1
+ P
2
−P
a
)
2
.
t
a2
t
b2
t
a3
t
b1
s
13
P
i
·P
j
i, j =
a, b, 1, 2, 3
2 → n
2 → (n−1) 1 → 2
2 → 3
2 → 2 1 → 2
a + b → 1+X X → 2+3 X
√
s
2
t
1
X
s
2
(t
1
,s
2
)
   8      0      1 F   N 1  
  0 / 56    1 G H   
   0 1      / 1  2 "!*
                                    2                 2
            s    ≡   sab = (Pa + Pb ) = (P1 + P2 + P3 ) ,
                                    2                 2
            s1   ≡   s12 = (P1 + P2 ) = (Pa + Pb − P3 ) ,
            s2   ≡
                                    2                 2
                     s23 = (P2 + P3 ) = (Pa + Pb − P1 ) ,     F"!",G
                                    2                 2
            t1   ≡   ta1 = (Pa − P1 ) = (P2 + P3 − Pb ) ,
                                   2                  2
            t2   ≡   tb3 = (Pb − P3 ) = (P1 + P2 − Pa ) .

     1    7    0 C 1   6 1 0
   C       O 7     C
              F"!",G 8 
    /      1  C 110    F"!",GO 7 
   ta2 0 tb2 0 ta3 0 tb1 0 s13 F QARG
        0    1  1 FPi · Pj G0 i, j =
a, b, 1, 2, 3 C C            
    F"!",G
    80 1           
   /      5        
2 K 0    1       1  2 → n 
1 1  F2 → (n − 1)0 F1 → 2GG    F  1  1 
 2 3;$1   Q RG     1 2 → 3 7 
    2 → 2  1 → 2
      1               1  F"!*G?
a + b → 1 + X 0 X → 2 + 30 2   X           7   5 
√
  s2   7          "2 1 1       
 1        t1 F   1  2 1 C 
  X   /1 G     7     7 
  s2 
        1   (t1 , s2 )   0 2        
9 0  F    2  G 2   
      .    1                 /
   7  1  0 156 1                 
2  0  5 !  /01 



                                 "-E

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