Geodesic
Analytic continuation of $s$ matrix in multichannel problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 427-438

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The analytic continuation of $t$-matrix and scattering matrix onto the Riemann surface is studied in the multichannel problem. For $t$ and $s$ matrices on all the sheets, the explicit representations are obtained in terms of $t$ and $s$ matrices on the physical sheet. 
@article{TMF_1993_95_3_a2,
     author = {A. K. Motovilov},
     title = {Analytic continuation of $s$ matrix in multichannel problems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {427--438},
     publisher = {mathdoc},
     volume = {95},
     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a2/}
}
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A. K. Motovilov. Analytic continuation of $s$ matrix in multichannel problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 427-438. http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a2/