On modeling and visualizing single-electron spin motion

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24 Citations (Scopus)


In this paper quantum Hamilton-Jacobi theory are exploited to model and visualize single-electron spin motion at zero-point energy state. Quantum Hamilton equations of motion are derived and solved analytically for an electron moving in a constant magnetic field. The resulting electron's trajectories explain explicitly why the electron has quantized spin and orbital angular momenta and why the electron has an intrinsic spin ℏ/2 with a g factor of 2. This quantum spin model, unlike the usual one expressed by the abstract spin matrices, is fully based on the measurable motion trajectory of electron and may hopefully provide us a succinct guideline to visualize single-electron spin motion in laboratory.

Original languageEnglish
Pages (from-to)41-50
Number of pages10
JournalChaos, solitons and fractals
Issue number1
Publication statusPublished - 2006 Oct 1

All Science Journal Classification (ASJC) codes

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

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