Reconstructing interference fringes in slit experiments by complex quantum trajectories
Reconstructing interference fringes in slit experiments by complex quantum trajectories
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DOI：
10.1002/qua.24269
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发表时间：
2013-05-05
影响因子：
2.2
通讯作者：
Su, Kuan-Chang
中科院分区：
文献类型：
--
作者：
Yang, Ciann-Dong;Su, Kuan-Chang
量子态有外部和内部表示。标准量子力学中通常采用外部表示，利用概率密度函数 * 来解释狭缝实验中观察到的干涉条纹。另一方面，在量子汉密尔顿力学中，量子态具有动态表示，揭示了外部观察到的干涉条纹的内部机制。的内部表示由一组哈密顿运动方程描述，通过该方程可以求解粒子运动的量子轨迹。在本文中，从汉密尔顿方程求解了数百万条连接狭缝和屏幕的复杂量子轨迹，并显示了它们到达屏幕上的统计分布，以重现观察到的干涉条纹。这似乎是狭缝实验中基于轨迹的统计与基于波函数的统计之间的等价性的首次定量验证。 (c) 2012 年 Wiley 期刊公司。
There are external and internal representations for a quantum state . External representation is commonly adopted in the standard quantum mechanics by exploiting probability density function * to explain the observed interference fringes in slit experiments. On the other hand, in quantum Hamilton mechanics, the quantum state has a dynamical representation that reveals the internal mechanism underlying the externally observed interference fringes. The internal representation of is described by a set of Hamilton equations of motion, by which quantum trajectories of a particle moving in can be solved. In this article, millions of complex quantum trajectory connecting slits to a screen are solved from the Hamilton equations, and the statistical distribution of their arrivals on the screen is shown to reproduce the observed interference fringes. This appears to be the first quantitative verification of the equivalence between the trajectory-based statistics and the wavefunction-based statistics on slit experiments. (c) 2012 Wiley Periodicals, Inc.