标题： 保持Noether对称性的量化 显示英文标题

标题： Quantizing preserving Noether symmetries

摘要： 一种消除了由一致量子化与哈密顿描述在非线性正则变换下的不变性之间的冲突所施加的约束的过程被提出。 这种新的量子化方案保留了底层拉格朗日量的诺特定点对称性，以构建薛定谔方程。 作为示例，展示了Calogero等人广泛研究的“金鱼”多体问题的量子化。 显示英文摘要

摘要： A procedure which obviates the constraint imposed by the conflict between consistent quantization and the invariance of the Hamiltonian description under nonlinear canonical transformation is proposed. This new quantization scheme preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schr\"odinger's equation. As an example, the quantization of the `goldfish' many-body problem extensively studied by Calogero et al. is presented.