线性群上的量子系统
Quantum Systems on Linear Groups
摘要：
讨论了正交群和仿射群上的量子化动力系统。特别强调了仿射不变动能算子的大地测量系统。所得公式表明，这种模型可能是有用的核和强子动力学。它们不同于传统的Bohr-Mottelson模型，其中SL $(n,\mathbb{R})$被用作所谓的非不变组。在经典可积格和量子可积格之间存在着一种有趣的关系。
英文摘要：
Discussed are quantized dynamical systems on orthogonal and affine groups. The special stress is laid on geodetic systems with affinely-invariant kinetic energy operators. The resulting formulas show that such models may be useful in nuclear and hadronic dynamics. They differ from traditional Bohr-Mottelson models where SL$(n,\mathbb{R})$ is used as a so-called non-invariance group. There is an interesting relationship between classical and quantized integrable lattices.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
