Report
Calogero-Moser eigenfunctions modulo $p^s$
| العنوان: | Calogero-Moser eigenfunctions modulo $p^s$ |
|---|---|
| المؤلفون: | Gorsky, Alexander, Varchenko, Alexander |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Mathematics - Representation Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | In this note we use the Matsuo-Cherednik duality between the solutions to KZ equations and eigenfunctions of Calogero-Moser Hamiltonians to get the polynomial $p^s$-truncation of the Calogero-Moser eigenfunctions at a rational coupling constant. The truncation procedure uses the integral representation for the hypergeometric solutions to KZ equations. The $s\rightarrow \infty$ limit to the pure $p$-adic case has been analyzed in the $n=2$ case Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.01976 |
| رقم الانضمام: | edsarx.2312.01976 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |