Email this article Heisenberg Model in Pseudo-Euclidean Spaces II
- Authors: Jovanović B.1, Jovanović V.2
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Affiliations:
- Mathematical Institute SANU
- Faculty of Sciences
- Issue: Vol 23, No 4 (2018)
- Pages: 418-437
- Section: Article
- URL: https://journals.rcsi.science/1560-3547/article/view/219007
- DOI: https://doi.org/10.1134/S1560354718040044
- ID: 219007
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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-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.
About the authors
Božidar Jovanović
Mathematical Institute SANU
Author for correspondence.
Email: bozaj@mi.sanu.ac.rs
Serbia, Kneza Mihaila 36, Belgrade, 11000
Vladimir Jovanović
Faculty of Sciences
Email: bozaj@mi.sanu.ac.rs
Bosnia and Herzegovina, Mladena Stojanovića 2, Banja Luka, 51000
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