dorsal/arxiv
View SchemaOn the Solution of Maxwell's First Order Equations
| Authors | Wolfgang Engelhardt |
|---|---|
| Categories | |
| ArXiv ID | physics/0604037 |
| URL | https://arxiv.org/abs/physics/0604037 |
Abstract
In an attempt to solve Maxwell's first order system of equations, starting from a given initial state, it is found that a consistent solution depending on the temporal evolution of the sources cannot be calculated. The well known retarded solutions of the second order equations, which are based on the introduction of potentials, turn out to be in disagreement with a direct solution of the first order system.
{
"annotation_id": "2ae81ac8-20ac-4ea1-97fb-f081b407ca1a",
"date_created": "2026-03-02T18:01:07.937000Z",
"date_modified": "2026-03-02T18:01:07.937000Z",
"file_hash": "4a166eea35d44cd7be23df5b309cd43cb3438c33abe2ba385ccaa9f160869414",
"private": false,
"record": {
"abstract": "In an attempt to solve Maxwell\u0027s first order system of equations, starting\nfrom a given initial state, it is found that a consistent solution depending on\nthe temporal evolution of the sources cannot be calculated. The well known\nretarded solutions of the second order equations, which are based on the\nintroduction of potentials, turn out to be in disagreement with a direct\nsolution of the first order system.",
"arxiv_id": "physics/0604037",
"authors": [
"Wolfgang Engelhardt"
],
"categories": [
"physics.class-ph"
],
"title": "On the Solution of Maxwell\u0027s First Order Equations",
"url": "https://arxiv.org/abs/physics/0604037"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "18ccf6d3-4018-4988-9170-7a4ae7aab313",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}