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arXiv · 1504.03041

Symplectic Dirac Equation

R. G. G. Amorim·S. C. Ulhoa·Edilberto O. Silva
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Abstract

Symplectic unitary representations for the Poincaré group are studied. The formalism is based on the noncommutative structure of the star-product, and using group theory approach as a guide, a consistent physical theory in phase space is constructed. The state of a quantum mechanics system is described by a quasi-probability amplitude that is in association with the Wigner function. As a result, the Klein-Gordon and Dirac equations are derived in phase space. As an application, we study the Dirac equation with electromagnetic interaction in phase space.

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R. G. G. Amorim, S. C. Ulhoa, Edilberto O. Silva. 2015-04-13. Symplectic Dirac Equation. https://doi.org/10.1007/s13538-015-0368-1

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