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Manifestly covariant Hamiltonian form of the wave equation for the Dirac particle in the external electromagnetic field

Wanda Hanus, Ryszard Mrugała

Abstract

The inhomogeneous Dirac equation (depending on the potential of the external electromagnetic field) is transformed into a covariant Hamiltonian form similar to that obtained earlier for the free Dirac particle. The same procedure is extended to the case of the amplified Dirac equation'' containing additional tensor terms. (auth)

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Key concepts: Dirac equation, Covariant transformation, Two-body Dirac equations, Hamiltonian (control theory), Physics, Klein–Gordon equation, Electromagnetic field, Dirac algebra