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

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Abstract

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.

Original languageEnglish
Pages (from-to)317-333
Number of pages17
JournalChaos, solitons and fractals
Volume41
Issue number1
DOIs
Publication statusPublished - 2009 Jul 15

All Science Journal Classification (ASJC) codes

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

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