Post-Galilean transformations of space and time derivatives and their consequences

Abstract

Using post-Galilean space and time derivatives transformations and quantum mechanics, we have found a new particle-wave equation besides the Klein-Gordon equation describing a spinless scalar particle. This new equation can also be obtained from Dirac's equation if $\beta =\gamma (1\pm \frac{v}{c})$. Biot-Savart law and additional continuity equations are obtained as a consequence of the invariance of Dirac's equation and Maxwell's equations under these transformations.

7 Latex pages, no figures

References in corpus (2)

• On the generalized continuity equation
• A New Formulation of Electrodynamics