THE RELATIVISTIC DYNAMICS AS A QUANTUM EFFECT

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    Abstract

    In this paper we develop a Unitary Quantum Relativistic Theory. We show that the wavy nature

    of a quantum particle involves the relativistic dynamics of the wave-packet of this particle, and

    a field of interaction described by Lorentz’s force and three of the four Maxwell equations: the

    electromagnetic induction law, and the flow laws of the electric and magnetic fields. These

    equations arise from the group velocity, which is of the form of the Lagrange equation, and

    from a relativistic principle for wave functions, which asserts that in any system of reference

    a wave-function has a bounded spectrum with a velocity limit c. When a magnetic circuit law

    is considered for a field interacting with a quantum particle, this is an electromagnetic field,

    propagating with the velocity c.