Geodesic
Factorizing particles on a half-line and root systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 35-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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Factorization conditions are obtained and an example is given of a theory of equal-mass relativistic particles on a half-line with reflection corresponding to the $B_n$, $C_n$, $D_n$ root systems. Generalized factorization equations are introduced, and the analog of Yang's $S$ matrix is considered for an arbitrary root system. For the system $B_n$ an example of an $S$ matrix with elliptic dependence on the rapidities is constructed; it generalizes Belavin's $S$ matrix. 
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I. V. Cherednik. Factorizing particles on a half-line and root systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 35-44. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a3/

[1] Zamolodchikov A. B., ZhETF, 79:2(8) (1980), 641–664 | MR

[2] Zamolodchikov A. B., Zamolodchikov Al. B., Ann. of Phys., 120 (1979), 253–270 | DOI | MR

[3] Belavin A. A., Funkts. analiz i ego prilozh., 14:4 (1980), 18–26 | MR | Zbl

[4] Burbaki N., Gruppy i algebry Li, Mir, M., 1972 | MR | Zbl

[5] Yang C. N., Phys. Rev., 168:5 (1968), 1920–1923 | DOI

[6] Belavin A. A., Nucl. Phys. B, 180 (F52) (1981), 189–203 | DOI | MR

[7] Baxter R. J., Ann. Phys. (N. Y.), 70 (1972), 193–228 | DOI | MR | Zbl

[8] Takhtadzhyan L. A., Faddeev L. D., Usp. matem. nauk, 34:5 (1979), 13–63 | MR

[9] Zamolodchikov A. B., Commun. Math. Phys., 69 (1978), 165–178 | DOI | MR

[10] Cherednik I. V., YaF, 36:2(8) (1982), 549–557 | MR

[11] Kulish P. P., Reshetikhin N. Yu., Sklyanin E. K., Lett. in Math. Phys., 5 (1981), 393–403 | DOI | MR | Zbl