Timeline for On the connections between Ruijsenaars-Schneider systems and other areas
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 30, 2018 at 7:05 | comment | added | Peter Koroteev | So the solution is known for any N. | |
| Dec 30, 2018 at 7:04 | comment | added | Peter Koroteev | Formal spectrum of complexified trigonometric RS models are given by q-hypergeometic series. When certain reality condition (trigonometric projection) + quantization are met they truncate to Macdonald polynomials. It does not happen in the hyperbole case. In my recent paper [arXiv:1805.00986] I discuss this truncation and connection of the spectrum of the tRS model to enumerative geometry. | |
| Dec 29, 2018 at 6:11 | comment | added | user114864 | Thank you. That brings me with another (kinda vague) question, what about quantization? quantum trigonometric RS systems are solved by Macdonalds polynomials, but the hyperbolic ones are much more complicated. Only the rank one is understood, and the Hilbert space is infinite dimensional. Why is it so different? | |
| Dec 25, 2018 at 8:03 | history | answered | Peter Koroteev | CC BY-SA 4.0 |