Riemann Surfaces of Some Static Dispersion Models and Projective Spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 3, pp. 414-425
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We show that the analytic continuation of the $S$-matrix elements, which are meromorphic functions of the energy $\omega $ in the complex plane with the cuts $(-\infty ,-1]$, $[+1,+\infty )$, from the physical sheet to nonphysical ones results in a system of nonlinear difference equations. A global analysis of this system is performed in the projective spaces
$P_{N}$ and $P_{N+1}$. We discuss the connection between the spaces $P_{N}$ and $P_{N+1}$ and obtain some particular solutions of the initial system.
@article{TMF_2002_130_3_a2,
author = {V. A. Meshcheryakov and D. V. Meshcheryakov},
title = {Riemann {Surfaces} of {Some} {Static} {Dispersion} {Models} and {Projective} {Spaces}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {414--425},
publisher = {mathdoc},
volume = {130},
number = {3},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2002_130_3_a2/}
}
TY - JOUR AU - V. A. Meshcheryakov AU - D. V. Meshcheryakov TI - Riemann Surfaces of Some Static Dispersion Models and Projective Spaces JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2002 SP - 414 EP - 425 VL - 130 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2002_130_3_a2/ LA - ru ID - TMF_2002_130_3_a2 ER -
%0 Journal Article %A V. A. Meshcheryakov %A D. V. Meshcheryakov %T Riemann Surfaces of Some Static Dispersion Models and Projective Spaces %J Teoretičeskaâ i matematičeskaâ fizika %D 2002 %P 414-425 %V 130 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2002_130_3_a2/ %G ru %F TMF_2002_130_3_a2
V. A. Meshcheryakov; D. V. Meshcheryakov. Riemann Surfaces of Some Static Dispersion Models and Projective Spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 3, pp. 414-425. http://geodesic.mathdoc.fr/item/TMF_2002_130_3_a2/