Scattering Problems in Nonrelativistic Quantum Mechanics Part I One Particle I

Bernard Friedman

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I . 1 .. I _t _i -I 00 cosk (x'-x) °° •"iklx'-xl -iklx'-xP °° ^ fT ^lk|X'-X| g-lK|X'-X| ^ r (76) G(x. X-, A)= 2^y dk -^ + ~T2-— =2?ry.
k -\ k*"- A dk -'-oo (k-yA)(k+yX') Equation (76) is valid for all X such that 0, the contour in the k-plane must be the one shown in Fig. 3, this being the only one for which Eq. (76) is valid when G(x, x', A) is the Green's function of Eq.

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