## 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.

**Download:** **PDF**

### 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

**Unique-IP document downloads:** 6 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*