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5 October 2015 Origin of the spin-orbit interaction (Presentation Recording)
Gianfranco Spavieri, Masud Mansuripur
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Proceedings Volume 9551, Spintronics VIII; 95510P (2015) https://doi.org/10.1117/12.2187490
Event: SPIE Nanoscience + Engineering, 2015, San Diego, California, United States
Abstract
We consider a semi-classical model to describe the origin of the spin-orbit interaction in a simple system such as the hydrogen atom. The interaction energy U is calculated in the rest-frame of the nucleus, around which an electron, having linear velocity v and magnetic dipole-moment μ, travels in a circular orbit. The interaction energy U is due to the coupling of the induced electric dipole p=(v/c)×μ with the electric field En of the nucleus. According to quantum mechanics, the radius of the electron’s orbit remains constant during a spin-flip transition. Under such circumstances, our model predicts that the energy of the system changes by ΔE=1/2U, the factor 1/2 emerging naturally as a consequence of equilibrium and the change of the kinetic energy of the electron. The correct 1/2 factor for the spin-orbit coupling energy is thus derived without the need to introduce the well-known Thomas precession in the rest-frame of the electron.
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Gianfranco Spavieri and Masud Mansuripur "Origin of the spin-orbit interaction (Presentation Recording)", Proc. SPIE 9551, Spintronics VIII, 95510P (5 October 2015); https://doi.org/10.1117/12.2187490
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KEYWORDS
Chemical species
Hydrogen
Magnetism
Quantum mechanics
Current controlled current source
Spintronics
Video
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