Heisenberg Model in Pseudo-Euclidean Spaces II

被引：2

作者：

Jovanovic, Bozidar ^{[1
]}

Jovanovic, Vladimir ^{[2
]}

机构：

[1] Serbian Acad Arts & Sci, Math Inst SANU, Kneza Mihaila 36, Belgrade 11000, Serbia

[2] Univ Banja Luka, Fac Sci, Mladena Stojanovica 2, Banja Luka 51000, Bosnia & Herceg

来源：

REGULAR & CHAOTIC DYNAMICS | 2018年 / 23卷 / 04期

关键词：

discrete systems with constraints; contact integrability; billiards; Neumann and Heisenberg systems; INTEGRABLE BILLIARDS; SYSTEMS; PENCILS;

D O I：

10.1134/S1560354718040044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the review we describe a relation between the Heisenberg spin chain model on pseudospheres and light-like cones in pseudo-Euclidean spaces and virtual billiards. A geometrical interpretation of the integrals associated to a family of confocal quadrics is given, analogous to Moser's geometrical interpretation of the integrals of the Neumann system on the sphere.

引用

页码：418 / 437

页数：20

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