Heisenberg model in pseudo-Euclidean spaces

被引：4

作者：

Jovanovic, Bozidar ^{[1
]}

机构：

[1] Serbian Acad Arts & Sci, Math Inst SANU, Belgrade 11000, Serbia

来源：

REGULAR & CHAOTIC DYNAMICS | 2014年 / 19卷 / 02期

关键词：

discrete Hamiltonian and contact systems; the Lax representation; complete integrability; INTEGRABILITY;

D O I：

10.1134/S1560354714020075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct analogues of the classical Heisenberg spin chain model (or the discrete Neumann system), on pseudo-spheres and light-like cones in the pseudo-Euclidean spaces and show their complete Hamiltonian integrability. Further, we prove that the Heisenberg model on a light-like cone leads to a new example of the integrable discrete contact system.

引用

页码：245 / 250

页数：6

共 12 条

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