论文标题
当地现实的波哈米亚轨迹：波颗粒二元性的一种非Bohmian方法
Local-realistic Bohmian trajectories: a non-Bohmian approach to wave-particle duality
论文作者
论文摘要
我们介绍了波颗粒偶性和波哈米亚轨迹的地方真实描述。我们的方法是相对论的，并且基于汉密尔顿的古典力学原则，但在两个方面偏离了其标准环境。首先，我们解决了一个极端曲线的合奏，即所谓的梅耶场，而不是专注于单个极端曲线。其次，我们假设有一个量表，在下面我们只能概率地评估合奏中哪个极端曲线实际上实现。统治概率保护的连续性方程代表了汉密尔顿原理的辅助条件。结果，极端团体获得了由麦克斯韦方程统治的动力学。因此，这些方程也证明还统治了一些非电磁现象。虽然粒子遵循明确定义的轨迹，但极端磁场可以显示波行为。
We present a local-realistic description of both wave-particle duality and Bohmian trajectories. Our approach is relativistic and based on Hamilton's principle of classical mechanics, but departs from its standard setting in two respects. First, we address an ensemble of extremal curves, the so-called Mayer field, instead of focusing on a single extremal curve. Second, we assume that there is a scale, below which we can only probabilistically assess which extremal curve in the ensemble is actually realized. The continuity equation ruling the conservation of probability represents a subsidiary condition for Hamilton's principle. As a consequence, the ensemble of extremals acquires a dynamics that is ruled by Maxwell equations. These equations are thus shown to also rule some non-electromagnetic phenomena. While particles follow well-defined trajectories, the field of extremals can display wave behavior.
