对恰普雷金可哈密顿化非完整系统进行量子化。
Quantizing Chaplygin Hamiltonizable nonholonomic systems.
作者信息
Fernandez Oscar E
机构信息
Department of Mathematics, Wellesley College, Wellesley, MA, 02482, USA.
出版信息
Sci Rep. 2022 Jun 8;12(1):9414. doi: 10.1038/s41598-022-13335-6.
Abstract
In this article we develop a quantization procedure for Chaplygin Hamiltonizable nonholonomic systems-mechanical systems subject to non-integrable velocity constraints whose reduced mechanics is Hamiltonian after a suitable time reparametrization-using Poincaré transformations and geometric quantization. We illustrate the theory developed through examples and discuss potential applications to the study of the quantum mechanics of nanovehicles.
摘要
在本文中，我们利用庞加莱变换和几何量子化方法，为恰普雷金可哈密顿化非完整系统（即受不可积速度约束的力学系统，其约化力学在经过适当的时间重新参数化后是哈密顿的）开发了一种量子化程序。我们通过示例阐述所发展的理论，并讨论其在纳米车辆量子力学研究中的潜在应用。
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本文引用的文献
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The Quantum Mechanics of a Rolling Molecular "Nanocar".滚动分子“纳米车”的量子力学
Sci Rep. 2018 Oct 5;8(1):14878. doi: 10.1038/s41598-018-33023-8.
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