Bispectrality for deformed Calogero–Moser–Sutherland systems

Bispectrality for deformed Calogero–Moser–Sutherland systems
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变形的卡洛杰罗-莫泽-萨瑟兰系统的双谱性

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
M. Feigin
M. Feigin
中科院分区:
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文献类型:
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作者:
M. Feigin

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摘要证明了与组态有关的广义Calogero-Moser-Sutherland系统的双谱对偶性。修正了Baker-Akhiezer函数的三角公理,构造了有理Macdonald型的对偶差分算子和与这两个级数相关的Baker-Akhiezer函数。
Abstract We prove bispectral duality for the generalized Calogero–Moser–Sutherland systems related to configurations , . The trigonometric axiomatics of the Baker–Akhiezer function is modified, the dual difference operators of rational Macdonald type and the Baker–Akhiezer functions related to both series are constructed.