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

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

2010-02-27

arxiv.org/abs/1003.0073v1

Physics

General Physics

7 Latex pages, no figures

Scientific paper

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.

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