Thoughts on Commutation Relations and Measurement Accuracy
| dc.creator | Noyes, H. Pierre | |
| dc.date | 1999-01-08 | |
| dc.date.accessioned | 2026-07-07T06:16:01Z | |
| dc.date.available | 2026-07-07T06:16:01Z | |
| dc.description | We show that measuring the trajectories of charged particles to finite accuracy leads to the commutation relations needed for the derivation of the free space Maxwell equations using the {\it discrete ordered calculus} (DOC). We note that the finite step length derivation of the discrete difference version of the single particle Dirac equation implies the discrete version of the p,q commutation relations for a free particle. We speculate that a careful operational analysis of the change in momenta occurring in a step-wise continuous solution of the discrete Dirac equation could supply the missing source-sink terms in the DOC derivation of the Maxwell equations, and lead to a finite and discrete (``renormalized'') quantum electrodynamics (QED). | |
| dc.description | LaTex, 8 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9901017 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9901017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93936 | |
| dc.subject | Quantum Physics | |
| dc.title | Thoughts on Commutation Relations and Measurement Accuracy | |
| dc.type | text |