dorsal/arxiv
View SchemaThe Maslov correction in the semiclassical Feynman integral
| Authors | P. A. Horvathy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702236 |
| URL | https://arxiv.org/abs/quant-ph/0702236 |
| DOI | 10.2478/s11534-010-0055-3 |
| Journal | Central Eur.J.Phys.9:1-12,2011 |
Abstract
The Maslov correction to the wave function is to the jump of $-\pi/2$ in the phase when the system passes through a caustic point. This phenomenon is related to the second variation and to the geometry of paths, as conveniently explained in Feynman's path integral framework. The results can be extended to any system using the semiclassical approximation. The 1-dimensional harmonic oscillator is used to illustrate the different derivations reviewed here.
{
"annotation_id": "ac5e82e5-9a5a-4b4d-a6eb-16f27664ace2",
"date_created": "2026-03-02T18:02:34.112000Z",
"date_modified": "2026-03-02T18:02:34.112000Z",
"file_hash": "210c03e2b5cca17e0658595cdb8da58391a336d61905c3888f038845421569eb",
"private": false,
"record": {
"abstract": "The Maslov correction to the wave function is to the jump of $-\\pi/2$ in the\nphase when the system passes through a caustic point. This phenomenon is\nrelated to the second variation and to the geometry of paths, as conveniently\nexplained in Feynman\u0027s path integral framework. The results can be extended to\nany system using the semiclassical approximation. The 1-dimensional harmonic\noscillator is used to illustrate the different derivations reviewed here.",
"arxiv_id": "quant-ph/0702236",
"authors": [
"P. A. Horvathy"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.2478/s11534-010-0055-3",
"journal_ref": "Central Eur.J.Phys.9:1-12,2011",
"title": "The Maslov correction in the semiclassical Feynman integral",
"url": "https://arxiv.org/abs/quant-ph/0702236"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3d7900b3-84d7-41cc-804d-b1d617b3a076",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}