dorsal/arxiv
View SchemaSemiclassical wave equation and exactness of the WKB method
| Authors | M. N. Sergeenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911075 |
| URL | https://arxiv.org/abs/quant-ph/9911075 |
| DOI | 10.1103/PhysRevA.53.3798 |
| Journal | Phys. Rev. A 53 (1996) 3798 |
Abstract
The exactness of the semiclassical method for three-dimensional problems in quantum mechanics is analyzed. The wave equation appropriate in the quasiclassical region is derived. It is shown that application of the standard leading-order WKB quantization condition to this equation reproduces exact energy eigenvalues for all solvable spherically symmetric potentials.
{
"annotation_id": "b36100ee-2d68-4631-90a8-e59a302f1848",
"date_created": "2026-03-02T18:02:48.424000Z",
"date_modified": "2026-03-02T18:02:48.424000Z",
"file_hash": "24003634f6f19b1677b69c0b235fe00ed1cbf9a850b1997ac9974dd0e3ea3eb7",
"private": false,
"record": {
"abstract": "The exactness of the semiclassical method for three-dimensional problems in\nquantum mechanics is analyzed. The wave equation appropriate in the\nquasiclassical region is derived. It is shown that application of the standard\nleading-order WKB quantization condition to this equation reproduces exact\nenergy eigenvalues for all solvable spherically symmetric potentials.",
"arxiv_id": "quant-ph/9911075",
"authors": [
"M. N. Sergeenko"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevA.53.3798",
"journal_ref": "Phys. Rev. A 53 (1996) 3798",
"title": "Semiclassical wave equation and exactness of the WKB method",
"url": "https://arxiv.org/abs/quant-ph/9911075"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8e151d3e-fbac-4053-b471-875412d4930a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}