Reconstructing interference fringes in slit experiments by complex quantum trajectories

Ciann Dong Yang, Kuan Chang Su

研究成果: Article同行評審

13 引文 斯高帕斯(Scopus)


There are external and internal representations for a quantum state Ψ. External representation is commonly adopted in the standard quantum mechanics by exploiting probability density function ΨΨ to explain the observed interference fringes in slit experiments. On the other hand, in quantum Hamilton mechanics, the quantum state Ψ has a dynamical representation that reveals the internal mechanism underlying the externally observed interference fringes. The internal representation of Ψ is described by a set of Hamilton equations of motion, by which quantum trajectories of a particle moving in Ψ 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.

頁(從 - 到)1253-1263
期刊International Journal of Quantum Chemistry
出版狀態Published - 2013 5月 5

All Science Journal Classification (ASJC) codes

  • 原子與分子物理與光學
  • 凝聚態物理學
  • 物理與理論化學


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