Multichannel Green's functions and perturbation theory for multichannel problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 3, pp. 338-342 Cet article a éte moissonné depuis la source Math-Net.Ru

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An expression is obtained for the Green's function of an $n$-channel one-dimensional Sehrödinger equation in terms of $2n$ linearly independent solutions of this equation in the general case and in terms of n linearly independent and channel-independent solutions in the case of an Hermitian matrix of the potentials. If these solutions are known, the construction of the perturbation theory series reduces to quadratures.
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     title = {Multichannel {Green's} functions and perturbation theory for multichannel problems},
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A. I. Ignat'ev; V. S. Polikanov. Multichannel Green's functions and perturbation theory for multichannel problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 3, pp. 338-342. http://geodesic.mathdoc.fr/item/TMF_1984_58_3_a2/

[1] De Alfaro V., Redzhe T., Potentsialnoe rasseyanie, Mir, M., 1966, gl. 13 | Zbl

[2] Zhigunov V. P., Zakharev B. N., Metody silnoi svyazi kanalov v kvantovoi teorii rasseyaniya, Atomizdat, M., 1974

[3] Zeldovich Ya. B., ZhETF, 31 (1956), 1101

[4] Polikanov V. S., ZhETF, 52 (1967), 1326

[5] Aharonov Y., Au C. K., Phys. Rev. Lett., 42 (1979), 1582 | DOI | MR

[6] Toyoda K., Stientific Reports of Tohoku University, 24 (1935), 284–302 ; Пугачев В. С., Матем. сб., 15(57):1 (1944), 13 | Zbl | MR | Zbl