2011.9

2008

tx,y,z (r,j,z) (r,q) (r, q, j)

-

1

(x,y,z)

()()()

k

kn3nks=3n-ks

dt=0

21.11.21.31.4

sks

n3ns=3n-kk

ABOAFAOBF

3

d r

cR

1.dt=0dt02.3.

0

00

0()

2928517046Fq1q2l1l231.91.101.11

RR/3

10

T

L=T-V

2rqr1= r err2= (r-L) ez

141.61.81.131.14

t1t2

t1t2qitqi(t)t1t2

Sq(t)l*dq(t)dq(t)0l

q(t)q(t)+l*d(t)Sl

q(t)Sl=0S(l)

ddq=ddq

dq(t)0

SS

qx

aeteq

zerxet

51.161.181.201.21

Lxxl

S

qx

0

D d

T

dt

LA=TA-VALB=TB-VBL=LA+LB

0LL

f(q,t)

f0

P251.5

61.241.251.261.28

ss2st=0

Ci

H

Lt

T=T2H=T+VH

wzxy

T0zxy

0

ds|dr|44 ds4|dr(4)|

4

bg

4

4v0

44

4 x'=x-v0t=x+ibict b=v0/cxict x' x' (1ib)(gigb) g = (1-b2) -1/2ict')(x')""-igbg)

dt 4dt 4 u(4) =(dr, icdt)/dt = g(v, ic) 4- mu(4) = (p,iE/c)

71.301.331.361.37

dr

dj x,y,zj

4

4

dSdr(4)(A,ij/c)4e

x

44

Fji4

4

[Fji]|Fji-lI|=0l2

4 EBEB(EB)2

81.291.341.381.39

rcrr1r2

m=m1m2/(m1+m2)

m1+m2 m V(r) r V(r) 0 J = r x mvzrJxy

bv0

|v1'-v2'|=|v1-v2|ee=1e

v1' = vc + | v1-v2 | e m2 / (m1+m2)v2' = vc - | v1-v2 | e m1 / (m1+m2) vc = (m1v1+m2v2) / (m1+m2) e 111

F(r)=k/r2 k

eqh

r j

b b090

dWds ds/dWBqAb

m1m2 v1v2 ~m2m1v'1v'2~em2, em1vcv'1v'292.12.22.3

m2 v1cv2cv'1cv'2cv'1v'2vc m2m1em2, em1, ????m1

e=1

a=m1/m2

a=m1/m2

m1

a=m1/m2=e2m11/(e2+1)

m20 m1=m2

m20 m1>m2m1m2m1m1m2m1

p1E1p'1E'1 p2E2p'2E'2 m1 m2

p'1xp'1yp'2xp'2yEE321

Ei meEf q 1 - cosq = mec2(1/Ef - 1/Ei )

p+m+mp0mm00m

102.42.52.6

qi=qi(0)+qi(1)01qi(0)=00

V(q)

V(0)=0 V/qi=0

2

T=T2

m q 2 m m

T 00 m = ( Mij )sxs V0 V0k=(kij ) sxsT0 m =( mij )sxs

mk

q(A) q(B) q(C) = aq(A) + bq(B) q w q = Re[qw exp(iwt)]

q = 0 0

w2sss 0 sw=wj 0 qw =qwj

nnsw20

qwT

m k w2 w2 m-1k qw

w2 s s s

q s

Aj aj

Q q R Q Q = R-1q

Q

j=1,2,,s

w2 s w2j

Q

qj=0 swj

112.72.82.9

w=0

q1q2

v v

F

elt l

ql00l2sl0qlT

lcll*

lj qljj=1,2,..,slj+s

ljAjljAj Aj = A*j+s lj = l*j+s122.102.112.13

3kkK

a

q(a)(t)q(b)(t) q(c)(t)=q(a)(t) - q(b)(t)

qi(t) = qi ei wot qi qi(t) w0

1

1

w0max

0

sljlj+sqljj=1,2,,s

2.122.142.1513

A

j 2p

5

14