Gauge invariant canonical mechanics for charged particles

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Abstract
The mechanics of charged particle motion is presented in a five‐dimensional form compatible with the five‐dimensional Kaluza theory of the electromagnetic field. Gauge dependence is given an intrinsic geometrical interpretation and the role of generalized momenta is clarified. The theory is a new example of a mechanical system with constraints and offers an interesting exercise in canonical quantization with a nonstandard Poisson bracket.

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