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arXiv · 1808.10783

Heisenberg model in pseudo-Euclidean spaces II

Bozidar Jovanovic·Vladimir Jovanovic
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Abstract

In the review we describe a relation between the Heisenberg spin chain model on pseudospheres and light--like cones in pseudo--Eucli\-dean 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.

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Bozidar Jovanovic, Vladimir Jovanovic. 2018-08-31. Heisenberg model in pseudo-Euclidean spaces II. https://doi.org/10.1134/s1560354718040044

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