具有逆平方势极大对称Kähler流形的可积模型

Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI:10.22323/1.394.0020

H. Shmavonyan

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引用次数: 0

摘要

本文考虑了具有平方势逆的模型的复版本，即复Smorodinsky-Winternitz模型和复投影Rosochatius模型。这些模型具有有趣的特性，即它们具有隐藏的对称性。由于结构复杂，模型可以很容易地引入与恒定磁场的相互作用。这里我们还提供了这些模型的量化结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Integrable models with inverse square potential inmaximally symmetric Kähler manifolds

In this paper we consider complex version of models with inverse square potential, namely complex Smorodinsky-Winternitz and complex projective Rosochatius models. These models have interesting properties namely they have hidden symmetries. Due to the complex structure models allow to easily introduce interaction with a constant magnetic ﬁeld. Also here we provide results for quantization of these models.

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

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