半经典力学与玻姆力学的融合：I. Stationary states
Reconciling Semiclassical and Bohmian Mechanics: I. Stationary states
摘要：
半经典方法的特点是有限的力量和光滑，良好的行为轨迹，但也由多值代表性的功能，是不正常的转折点。相比之下，量子轨道方法-基于玻姆力学（量子流体动力学）-的特点是无限的力量和节点附近的不稳定轨迹，但也表现良好，单值表示函数。在本文中，我们将这两种方法统一成一个单一的方法，捕捉两者的最佳功能，此外，满足对应原理。在一个自由度的稳态本征态是主要的焦点，但更一般的应用也被预期。
英文摘要：
The semiclassical method is characterized by finite forces and smooth, well-behaved trajectories, but also by multivalued representational functions that are ill-behaved at turning points. In contrast, quantum trajectory methods--based on Bohmian mechanics (quantum hydrodynamics)--are characterized by infinite forces and erratic trajectories near nodes, but also well-behaved, single-valued representational functions. In this paper, we unify these two approaches into a single method that captures the best features of both, and in addition, satisfies the correspondence principle. Stationary eigenstates in one degree of freedom are the primary focus, but more general applications are also anticipated.
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。
