An Evaluation of Approximation Methods for Three Body Scattering Problems
An Evaluation of Approximation Methods for Three Body Scattering Problems
Solomon L Schwebel
The book An Evaluation of Approximation Methods for Three Body Scattering Problems was written by author Solomon L Schwebel Here you can read free online of An Evaluation of Approximation Methods for Three Body Scattering Problems book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is An Evaluation of Approximation Methods for Three Body Scattering Problems a good or bad book?
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The procedure for the determination of these coefficients is exactly the same as that given in section (2. 2. 2). The result of the calculation yields V 2 2 (3. 2. 11) G(K^K2) = (K^K2|k^kp/(K^+K^-E), G(K^) = (K^2|k^k^)y (4-K^); ^ = B^+E G(X2) = (iKglk^kpy (4-Kj)i G(12) = -(I2|k^kp7 (K^+B^). Froai (3. 2. 10) and (3. 2. 11) the Green's f\inction becomes (3. 2. 12) rf. . .. Vn /' ^^2'M4>^^^^2V2 "^l'^2> GO^k^jk'ky =J ^-- ■/ ■/ - 61 - (K^2llc^Jcp*dK^(K^2lk^k2) ilK^\)c*k^)*dX2 (lK2lk^k2) (I2lk^kp*(l2...|k^k2) The identities (3. 2. ?) coupled with equation (3. 2. 12) yield G(k^k2;k_«kp = G(k2k^;k^k^). (3. 2. 13) Prom the orthogonality and clostire relations we see that the complex conj-ugates of the eigenfunctions also form a complete set. Thios the Green's function of equation (3, 2. 2) could be obtained as pn expansion in terms of the complex conjugates of the eigenfunctions. Therefore it follows from (3. 2. 12) that G(k^k2;k|k|) = G(k^k|;k^k2). (3. 2. 1^) In terms of the Green's fionction, the solution of equation (3.
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