Twistor Phase Space Dynamics and the Lorentz Force Equation

Details Twistor Phase Space Dynamics and the Lorentz Force Equation Twistor Phase Space Dynamics and the Lorentz Force Equation

1995-08-17

arxiv.org/abs/hep-th/9508083v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 20 pages

Scientific paper

Using Lorentz force equation as an input a Hamiltonian mechanics on the non-projective two twistor phase space TxT is formulated. Such a construction automatically reproduces dynamics of the intrinsic classical relativistic spin. The charge appears as a dynamical variable. It is also shown that if the classical relativistic spin function on TxT vanishes, the natural conformally invariant symplectic structure on TxT reduces to the natural symplectic structure on the cotangent bundle of the Kaluza-Klein space.

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