卡洛吉罗-莫瑟-萨瑟兰系统

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-20 DOI:arxiv-2312.12932

Martin Hallnäs

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引用次数: 0

摘要

我们讨论一维的卡洛德罗-莫泽-萨瑟兰（Calogero-Moser-Sutherland）型可整多体系统，包括经典和量子系统，以及非相对论和相对论系统。特别是，我们考虑了诸如可积分性、显式解的存在等基本性质，以及与不同此类系统相关的作用角和双谱对偶性。我们还简要讨论了这一课题的早期历史，并指出了它与其他可积分系统的联系。

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Calogero-Moser-Sutherland systems

We discuss integrable many-body systems in one dimension of Calogero-Moser-Sutherland type, both classical and quantum as well as nonrelativistic and relativistic. In particular, we consider fundamental properties such as integrability, the existence of explicit solutions as well as action-angle and bispectral dualities that relate different such systems. We also briefly discuss the early history of the subject and indicate connections with other integrable systems.

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arXiv - PHYS - Mathematical Physics

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