## The Free Photon Wave Function's Gauge-Invariant, Lorentz-Covariant Antisymmetric-Tensor Form

**Authors:** Steven Kenneth Kauffmann

If a free photon's wave function is taken to be a four-vector function of its space-time coordinates that has vanishing four-divergence (the Lorentz condition), it isn't uniquely determined by the free-photon Schroedinger equation. This gauge indeterminacy can be eliminated by taking that wave function to be a three-vector function of its space-time coordinates -- at the expense of its Lorentz-covariant form. These conflicts are resolved by taking a free photon's wave function to be an antisymmetric-tensor function of its space-time coordinates which has vanishing four-divergence and also satisfies the Lorentz-covariant cyclic Gauss-Faraday equation that is satisfied by all antisymmetric-tensor real-valued electromagnetic fields. It is shown that for every source-free antisymmetric-tensor real-valued electromagnetic field, there exists a corresponding free-photon antisymmetric-tensor complex-valued wave function.

**Comments:** 3 Pages.

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### Submission history

[v1] 2019-04-21 04:17:52 (removed)

[v2] 2019-04-24 05:04:03 (removed)

[v3] 2019-04-25 19:43:04

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