截断Calogero模型的超可积系统

Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI:10.22323/1.394.0006

S. Vardanyan, T. Hakobyan

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引用次数: 0

摘要

引入了一个简单的𝑈(1)规范变换，它等价于包含Aharonov-Bohm型势，并将其应用于经典和量子力学中的超可积系统。它产生了一个具有二粒子和三粒子相互作用的平方反比势，这与最近研究的截断的Calogero模型的势相同。

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Superintegrable systems related to truncated Calogero model

A simple 𝑈 ( 1 ) gauge transformation, which is equivalent to the inclusion of the Aharonov-Bohm type potential, is introduced and applied to superintegrable systems in classical and quantum mechanics. It produces an inverse-square potential with two- and three-particle interactions which is identical to the potential of the recently studied truncated Calogero model.

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Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020)

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