Abstract:
Using generalized special relativistic energy –momentum relation a useful linear equation was obtained .the coefficients and matrixes resembles that of Dirac relativistic quantum equation .Anew quantum linear relativistic equation sensitive to the potential and the effects of fields was also obtained. This equation reduces to that of Dirac in the absence of fields. The perturbed Hamiltonian consist of free energy term beside linear potential term which resembles that of ordinary perturbation theories. The travelling wave solution gives anew potential dependent energy relation, which reduces to that of Dirac in the absences of field. Moreover this expression for energy can be a pure imaginary for strong potential and energetic particle, which indicates efficient energy absorption by the medium as proposed by electromagnetic theory.
The generalized special relativity, which accounts for the effect of fields through the potential, is also used to derive a new Dirac relativistic quantum equation. This new quantum equation consists of a potential term which emerged naturally from the relativistic energy expression. The solution of this equation predicts the propagation of travelling wave inside fields without attenuation. Thus it can describe the electromagnetic wave propagation inside fields. It also predicts the existence of bio-photons as stationary waves that spreads themselves, instantaneously through the surrounding media. It also shows that particles behave as harmonic oscillator inside atoms with rest mass energy equal to the zero point energy. These results agree with observations.
