Complex spin and anti-spin dynamics: A generalization of de Broglie-Bohm theory to complex space

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

To be consistent with the complex spacetime formulation of the E(∞) theory, we generalize the de Broglie-Bohm (dBB) theory to a complex domain and show that the complex-extended dBB trajectories solved from the plain Schrödinger equation without any relativistic correction unambiguously demonstrate the existence of spin-1/2 dynamics in the ground-state hydrogen atom. It is the first time in the literature to reveal that to each spin solution to the Schrödinger equation, there is an accompanying anti-spin solution such that the spin and anti-spin solutions constitute a complete solution to the Schrödinger equation. The complex equations of motion indicate that the electrons in the spin and anti-spin solutions have equal angular momentum ℏ/2 anti-parallel to each other.

原文English
頁(從 - 到)317-333
頁數17
期刊Chaos, solitons and fractals
41
發行號1
DOIs
出版狀態Published - 2009 七月 15

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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