The Inverse Problem in the Quantum Theory of Scattering
The Inverse Problem in the Quantum Theory of Scattering
L D Faddeev
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(15. 1^+) We will seek a solution K(x, y) of (15-5) In the form: N K(x, y) = 2Z a (x)cp5(y), (15-15) J=l ^' ^J vhere cpjCy) = q'lCy^iPj) (J = i, -... N). (15. 16) The substitution of (15-15) into (15-5) gives: j=i -J J t=i mJ^ N N X + SX]A, a(x) r q)P(t)g^(t, y)dt = 0. (15. 1?) J=l t=l '' ^ ^Q ^ By (15. 15), the last term can he transformed as follows: XIS^.^w r
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