The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices |
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| Affiliation: | 1. Instytut Fizyki, Filia Uniwersytetu Warszawkiego w Bialymstoku, ul. Lipowa 41, 15-424 Bialystok, Poland;2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, P-le Aldo Moro 2, 1-00185 Rome, Italy;3. Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoża 69, 00-681 Warsaw, Poland;4. Dipartimento di Fisica, Università di Catania, Corso Italia 57, 1-95129 Catania, Italy;1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. G. Bonchev str., 1113 Sofia, Bulgaria;2. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko Chaussee, Blvd., 1784 Sofia, Bulgaria;3. Dept of Diff. Equations, Faculty of Applied Math. and Informatics, Technical University of Sofia, 8 Kl. Ohridski Blvd., 1000 Sofia, Bulgaria;4. Institute for Advanced Physical Studies, 21 Montevideo str., Sofia 1618, Bulgaria |
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| Abstract: | We show that the integrable discrete analogues of the Lamé orthogonal systems of coordinates are given by multidimensional circular lattices, i.e. by multidimensional lattices whose elementary quadrilaterals are inscribed in circles. |
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