标题： 关于（广义）Toda系统的某些量子化方面 显示英文标题

标题： On Certain Quantization Aspects of (Generalized) Toda Systems

摘要： 研究了普通广义Toda系统以及gl(n,R)广义Toda系统和相关的谱系，以探求某些量子化特性。 使用“量子”典范变换和泊松变换来研究变换后的Toda系统的量子化。 通过Lax对的设定，展示了相关系统的谱系并讨论了它们的量子化。 最后，就gl(n,R)广义Toda系统的量子方面添加了一些评论，同时考虑到变形量子化或量子群的方法。 显示英文摘要

摘要： Ordinary and gl(n,R) generalized Toda systems as well as a related hierarchy are probed with respect to certain quantization characteristics. "Quantum" canonical and Poisson transformations are used to study quantizations of transformed Toda systems. With a Lax pair setting, a hierarchy of related systems are shown and their quantizations discussed. Finally, comments are added about quantum aspects of gl(n,R) generalized Toda systems with the approaches of deformation quantization or quantum groups in mind.