量子轨迹,真实的,超现实的还是对更深层次过程的近似?
Quantum trajectories, real, surreal or an approximation to a deeper process?
摘要:
薛定谔方程(量子哈密尔顿-雅可比方程)实部的单参数解可被视为“量子粒子轨迹”的提议最近受到相当大的关注。关于其重要性,意见不一。有些人认为,它们作为实际的粒子轨迹发挥着根本性的作用,另一些人则认为它们只是形而上学的附属物,没有任何物理意义。最近的工作声称,在某些情况下,玻姆方法给出的结果与从标准量子力学得到的结果不一致,因此,与实验。此外,有人声称,这些轨迹具有不可接受的性质,只能被视为“超现实”。我们重新审视这些问题,并表明,具体的反对所提出的恩格勒特,史高丽,苏斯曼和瓦尔特不能成立。我们还认为,与他们的消极观点相反,这些轨迹可以提供对量子过程更深入的了解。
英文摘要:
The proposal that the one-parameter solutions of the real part of the Schrodinger equation (quantum Hamilton-Jacobi equation) can be regarded as `quantum particle trajectories' has received considerable attention recently. Opinions as to their significance differ. Some argue that they do play a fundamental role as actual particle trajectories, others regard them as mere metaphysical appendages without any physical significance. Recent work has claimed that in some cases the Bohm approach gives results that disagree with those obtained from standard quantum mechanics and, in consequence, with experiment. Furthermore it is claimed that these trajectories have such unacceptable properties that they can only be considered as `surreal'. We re-examine these questions and show that the specific objections raised by Englert, Scully, Sussmann and Walther cannot be sustained. We also argue that contrary to their negative view, these trajectories can provide a deeper insight into quantum processes.
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