Physics

Biography

Biography: Eliade Stefanescu

Abstract

In a previous paper, we showed that the Hamilton equations of motion of a quantum particle are obtained as group velocities of
the wave packet describing this particle only if the time dependent phase of a particle wave is proportional to the Lagrangian,
not to the Hamiltonian as in a solution of the conventional Schrödinger equation. When a Lagrangian of relativistic form is
considered, the wave packet of a quantum particle takes a physical form, with a finite spectrum of a cut off velocity (c). Based
on a relativistic quantum principle, asserting the invariance of the time dependent phase for an arbitrary change of coordinates,
we obtained the relativistic kinematics and dynamics, the electromagnetic field equations, the spin and the electromagnetic and
gravitational interactions. When the Lagrangian is considered as a function of the Hamiltonian, we obtain a Schrödinger type
equation with an additional term depending on the velocity and the momentum operator. Based on this equation, we investigate
the dynamics of a relativistic quantum particle. In this framework, such a particle is described as a continuous distribution of
conservative matter, according to the general theory of relativity. In an electromagnetic field, any time dependent phase variation
is modified with a term proportional to a vector potential conjugated to the spatial coordinates and a scalar potential conjugated
to time. In a gravitational field, the time space coordinates are deformed. In such a field, any plane wave remains perpendicular on
a geodesic, while an additional acceleration is possible in the wave plane.