Principal singularities of the $S$ matrix for a system of one-dimensional particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 2, pp. 266-277
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Explicit expressions are obtained for principal singularities of the scattering matrix in one-dimensional particles system described by the Hamiltonian $\Delta /2 +\sum v(x_i-$ $-x_j)$. The conditions are found under which the principal singularities are free from diffraction effects.
@article{TMF_1987_70_2_a10,
author = {V. S. Buslaev and N. A. Kaliteevskii},
title = {Principal singularities of the $S$ matrix for a~system of one-dimensional particles},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {266--277},
year = {1987},
volume = {70},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a10/}
}
TY - JOUR AU - V. S. Buslaev AU - N. A. Kaliteevskii TI - Principal singularities of the $S$ matrix for a system of one-dimensional particles JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1987 SP - 266 EP - 277 VL - 70 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a10/ LA - ru ID - TMF_1987_70_2_a10 ER -
V. S. Buslaev; N. A. Kaliteevskii. Principal singularities of the $S$ matrix for a system of one-dimensional particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 2, pp. 266-277. http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a10/
[1] Buslaev V. S., TMF, 16:2 (1973), 247–259 | MR
[2] Buslaev V. S., Merkurev S. P., Salikov S. P., Problemy matematicheskoi fiziki, no. 9, LGU, L., 1979, 14–30 | MR
[3] Buslaev V. S., Merkurev S. P., Salikov S. P., Zap. nauchn. semin. LOMI, 84, 1979, 16–22 | MR | Zbl
[4] Burbaki N., Gruppy i algebry Li, Mir, M., 1972 | MR | Zbl
[5] Jang C. N., Phys. Rev. Lett., 19:3 (1967), 1312–1314 | DOI | MR
[6] Kulish P. P., Sklyanin E. K., Zap. nauchn. semin. LOMI, 95, 1980, 129–160 | MR