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L2 J J L2 L2 N V V N N N V - V N V N J J (E) E > 0 L2 J J J S S J (e, 2e) (e, 3e) 0 J J S J (e, 2e) (e, 3e) NN J NN J (e, 2e) (e, 3e) (, 2e) J J (k, r) = cn(k) n n=0 n 0 C J 0 - k2/2 J C - k2/2 Jn, n J Jn,n-1en-1 + Jn,nen + Jn,n+1en+1 = 0, n 1.

Sn (k) Cn (k) V J N N V cn Pn,N-1 JN-1,N cN, n N - 1, cn = (-) (+) i Cn (k) - S Cn (k), n N - 1.

2 () Cn (k) = Cn (k) iSn (k) Pn, n N N P - [J + V]-1 ;

S S cn n = N - 1 (-) (-) CN-1 - PN-1,N-1 JN-1,N CN S =.

(+) (+) CN-1 - PN-1,N-1 JN-1,N CN J N-1 V (r, r ) = n(r) Vn, n n (r ) n, n =0 N N V Pn,n N N P P( ) = [I - h]-1.

( k)2 = h = T + V N N 2 T N N 0 Tn, n S PN( ) PN-1,N-1( ) PN( ) V PN( ) N V V = QhQ-1 - T, Q N 0 Q Q =, 0 0... 0 1 h a0 b1 b1 a1 b2 h =.

bN-1 bN-1 aN-1 PN (N-1) N-1 - j j=1 PN( ) =, N (N) - j j=1 (N-1) (N) j j (N) (N-1) (N) (N-1) (N) 1 < 1 < 2 <... < N-1 < N.

(N-1) (N) j j an bn V N PN( ) PN( ) 1 CN-1 ( ) PN( ) =, TN-1,N CN ( ) Cn ( ) = cos l(k) Sn (k) + sin (k) Cn (k), ( ) PN PN [0, ] 0 0 (N) (N) N > N PN 0 1/ (N-1) (N) j j < 0 PN PN [0, ] 0 [0, ] 0 N-1 V (r, r ) = n(r) Vn, n n (r ), n, n =0 n n J J J J S cn n N - 1 (k, r) (i, r) i (-) (+) cn(k) = fn(k) Cn, (k) - S(k) Cn, (k), 2 (+) cn( ) = fn( ) A i Cn (i).

cn n N - 1 2N-n-1 cn(k) = Kn, n fn (k).

n =n Kn, n 2N-n-1 Kn, n Qn, m + Kn, n Qn, m = 0, m > n, n =n+1 Qn, n 2 Qn, m = dk fn(k) [fm(k)] + fn( ) [fm( )].

0 an bn Kn, n N(k) N Qn, m J i Res S(k) = (-1) A2 k= S A N n N n=0 n n 2N n=0 pn( ) = Sn, (k)/S0 (k) Tn, n-1 pn-1( ) + Tn, n pn( ) + Tn, n+1 pn+1( ) = pn( ), n = 1,...

p0( ) = 1; T0, 0 p0( ) + T0, 1 p1( ) = p0( ).

V N bn pn-1( ) + an pn( ) + bn+1 pn+1( ) = pn( ), n = 1, 2,... N - 1, p0( ) = 1; a0 p0( ) + b1 p1( ) = p0( ).

( ) pn( ) Kn n n pn( ) = Kn m pm( ), m=0 n Kn,n Qn,m = 0, m < n, n =0 Qn,n Qn,n = pn( ) pn ( ) d( ).

- an bn Kn n J ( ) V = | V |.

, ( ) V N-1 N-1 ( ) V (r, r ) = n (r) Vn,n n (r ) n=0 n =0 n [0, E0] 2 2 P ( ) PN( ) P ( ) , = 1, 2 S K j ZN, j ZN, j j = 1,..., N = N1 + N2 1 2 Z N N h N ZN, j ZN, j P ( ) =.

- j j=1 j ZN, j ZN, j 1 2 [0, ) P ( ) S P ( ) j = E0/ P ( ) 0 ZN, j ZN, j 1 2 j ZN, ZN, 1 2 A1 A2 S i Res S (k) = i + A() A().

k=i j > 0 ZN, j 1 ZN, j 2 Z N N N 2 2 ZN,j = 1, ZN,j = 1, ZN,jZN,j = 0 j=1 j=1 j=1 {j} {ZN, j, ZN, j} j = 1,..., N 1 2 N N h h QhQ Q N1 N Z np 3 3 S1 - D1 {j} {ZN, j, ZN, j} = 62 1 2 N1 = N2 = 4 = 40 N1 = 5 N2 = 4 np 3 3 np 1,0 1,2 1 S1 - D1 = 62 N1 = N2 = 4 0 E 350 Ed = -2.2245 -1/NN AS = 0.88 = AD/AS = 0.02 N-N- ( ) V (r, r ) = n (r) Vn, n n (r ), n=0 n = J pp np N1 = N2 = S D N1 = N2 = J NN A = J S 1 = 2 = > 0 k k = k2 - .

S k [0, k0] N N = N, = 1, 2 N N N = 2N H | n n = 0,..., N - 1 = 1, 2} J J k < P S k [0, ] S S j P j P ZN, j S 2 j < ZN, j S1 2 = S2 1 = 0 S22 = 2 2 j > k0 S J S(k) = I, k > k0, S2 1 = 0, k < .

S S(0)(k) S(k) S(0)(k) i [0, ] S(i-1)(k) J L He(e, 2e)He+ J (e- e- He++) (123) He+ (e, He+) (-) n0 m (n0 m) He+ (-) n0 m L M (x, y) x y L ( L M = Cn )(E) |n ; LM, , , n, n(x) (y) |n ; LM = Y LM(x, y).

xy n(x) (y) L ( Cn ) L ( Cn )(E) = dk Sn (k) a (k), Sn (k) k, (x) Z1 hx = - +, x x (2, 3) n(x) dk (2, 3) 2 (j dk Sn (k) a (k) = Sn ) a (ij) + dk Sn (k) a (k).

j x << y H(a) = hx + hy.

hy = - + Z11/y Z11/y y (2, 3) L ( Cn ) N N x0 y = max (e, 2e) He(e, 2e)He+ d3n (3) n dsdEe de = pske 4 (-) exp(iQ r1) + exp(iQ r2) - 2 0 2, = n0 m pi Q4 m (Ei, pi) (Es, ps) (Ee, pe) Q = pi - ps Es = 5500 He+ n0 = 2 Ee s Ee = 5 s = 0.35o Ee = 75 s = 1o e 0o 360o (-) n0 m L ( Cn ) (-) n0 m He(e, 2e)He+ n0 = 2 Es = 5500 s = 0.35o Ee = 5 s = 1o Ee = 75 (e, 2e) J (e, 3e) (-)(k1, k2; r1, r2) (e- e- He++) (123) J L (-)(k1, k2; r1, r2) x y d5 (5) dsdE1 d1dE2 d2 = 4psk1k2 (-)(k1, k2; r1, r2) exp(iQr1) + exp(iQr2) - 2 |0 2, = piQ L He(e, 3e)He++ Es = 5500 E1 = E2 = 10 s = 0.45o 1 2 1 0o 360o m1 m2 m3 Z1 Z2 Z1 1 Z1Z2 Z2Z3 Z1Z3 - - + + + = E 212 R 23 r r12 r23 r = ei(KR+kr) [D0 + D1] = 0.

D0 j j 1 D0 = + + 2klstls, j j ls(j + j) j= ZlZsls j = l, s l < s kls l s tls = kls mlms ls = j j ml+ms = -2 j + iklsj, = -2 j - iklsj.

j j j j j j j j C D0 C3 = 0.

C D = aN |N N |N = n mj(j, j), j j= n mj(j, j) = n (j) m (j), j j j n(x) = 2be-bxLn(2bx).

+ V = 0, 3 3 = ls(j + j)D0 = js(s + s)j, V = ls(j + j)D1.

j=1 j=1 s =j j= j j = + + 2klstls.

j j C = C3 - G V , G |N aN a = a(0) - G V a.

G V N | G |N N | V |N a aN a(0) = N | CN G h + 2kt + C () g (t, C) sn c() n G G + + 2kt + C( + ) G g g G(t0; C) = A dt g(t; C) g(t0 - t; C).

+ + 2kt + C( + ) G Cj G = dC1dC2 G1(t23; 23C1) G2(t13; 13C2) G3 (t12; -12(C1 + C2)), Gj Gj J (e, 2e) J J R J NN J J J J S J J (e, 2e) (e, 3e) (e, 3e) J (e, 3e) J J J P J J NN JISP

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