Abstracts
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.
Keywords :Wave-function, wave-packet, group velocity, Hamiltonian, Lagrangian, Lorentz force, Hamilton equations, Lagrange equation, Lorentz transformation, Maxwell equations.
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