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On modeling and visualizing single-electron spin motion

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  • Yang, Ciann-Dong

Abstract

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.

Suggested Citation

  • Yang, Ciann-Dong, 2006. "On modeling and visualizing single-electron spin motion," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 41-50.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:41-50
    DOI: 10.1016/j.chaos.2006.01.116
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Superstrings, entropy and the elementary particles content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 48-54.
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    1. Yang, Ciann-Dong, 2009. "Complex spin and anti-spin dynamics: A generalization of de Broglie–Bohm theory to complex space," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 317-333.
    2. Yang, Ciann-Dong & Weng, Hung- Jen, 2008. "Complex dynamics in diatomic molecules. Part II: Quantum trajectories," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 16-35.
    3. Yang, Ciann-Dong, 2007. "Complex tunneling dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 312-345.
    4. Yang, Ciann-Dong, 2009. "Stability and quantization of complex-valued nonlinear quantum systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 711-723.
    5. Yang, Ciann-Dong, 2008. "On the existence of complex spacetime in relativistic quantum mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 316-331.

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