Convective Schrödinger Equation: Insights on the Potential Energy’s Role to Wave Particle Decay

Altair S. de Assis^1*, Hector Torres-Silva², Göran T. Marklund³

¹Universidade Federal Fluminense (IM-GMA), Niterói, Brasil.
²Universidad de Tarapacá, Arica, Chile.
³Kungliga Tekniska Högskolan—KTH, Stockholm, Sweden.

DOI: 10.4236/jemaa.2015.79024                

Abstract

In this paper, we coupled the Quantum Mechanics conventional Schrödinger’s equation, for the particles, with the Maxwell’s wave equation, in order to study the potential’s role on the conversion of the electromagnetic field energy to mass and vice versa. We show that the dissipation (“conductivity”) factor and the particle implicit proper frequency are both related to the potential energy. We have also derived a new expression for the Schrödinger’s Equation considering the potential energy into this equation not as an ad hoc term, but also as an operator (Hermitian), which has the scalar potential energy as a natural eigenvalue of this operator.

Keywords

Schrödinger’s Equation, Klein-Gordon’s Equation, Maxwell’s Wave Equation, Convection Displacement Current

Conflicts of Interest

The authors declare no conflicts of interest.

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