I found. By Cornelius Lanczos (reprints from 1929 etc)
1) On the covariant formulation of Dirac's equation
2) Dirac's wave mechanical theory of the electron and its field theoretical interpretation
3) The tensor analytical relationships of Dirac's equation
4) The relations of the homogeneous Maxwell's equations to the theory of functions
5) The conservation laws in the field theoretical representation of Dirac's theory
Some of the above are quoted in "Lanczos's equation to replace Dirac's equation?"
which you also find on arxiv?
It isn't useful for someone who wants to know about Lanczos's equation? Then you have a peculiar taste.
In spherically symmetric case the dynamics of a thin shell is described by the above Lanczos equation and the radial conservation equation which gives us the sigma(r) function, where sigma is the surface energy density, and r is the radius. For dust shells sigma=const, and the Lanczos equation discribes the dynamics alone.
However in some literature other equations are used also. For example in vacuum:
I think this is not an independent equation.
What is the intuitive meaning of this equation, and what is the minimal derivation of this equation?
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