dorsal/arxiv
View SchemaSolvable analogue of the imaginary cubic oscillator
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103115 |
| URL | https://arxiv.org/abs/quant-ph/0103115 |
| DOI | 10.3390/math14030480 |
| Journal | Mathematics 14 (2026) 480 |
Abstract
We prove that the purely imaginary square well generates an infinite number of bound states with real energies. In the strong-coupling limit, our exact PT symmetric solutions coincide, utterly unexpectedly, with their textbook, well known Hermitian predecessors.
{
"annotation_id": "f05efe33-901f-4532-a6cc-01b758d86632",
"date_created": "2026-03-02T18:01:42.574000Z",
"date_modified": "2026-03-02T18:01:42.574000Z",
"file_hash": "c30fa43ac2a5b4dff673328797da41ee1cb801f8841993e48d9593fd71fee75f",
"private": false,
"record": {
"abstract": "We prove that the purely imaginary square well generates an infinite number of bound states with real energies. In the strong-coupling limit, our exact PT symmetric solutions coincide, utterly unexpectedly, with their textbook, well known Hermitian predecessors.",
"arxiv_id": "quant-ph/0103115",
"authors": [
"Miloslav Znojil"
],
"categories": [
"quant-ph"
],
"doi": "10.3390/math14030480",
"journal_ref": "Mathematics 14 (2026) 480",
"title": "Solvable analogue of the imaginary cubic oscillator",
"url": "https://arxiv.org/abs/quant-ph/0103115"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4c2c33ac-5b28-417f-99af-e12c07b0051b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}