dorsal/arxiv
View SchemaSolvable simulation of a double-well problem in PT symmetric quantum mechanics
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303122 |
| URL | https://arxiv.org/abs/quant-ph/0303122 |
| DOI | 10.1088/0305-4470/36/27/315 |
| Journal | J. Phys. A: Math. Gen. 36 (2003) 7639-7648 |
Abstract
Within quantum mechanics which works with parity-pseudo-Hermitian Hamiltonians we study the tunneling in a symmetric double well formed by two delta functions with complex conjugate strengths. The model is exactly solvable and exhibits several interesting features. Besides an amazingly robust absence of any PT symmetry breaking, we observe a quasi-degeneracy of the levels which occurs all over the energy range including the high-energy domain. This pattern is interpreted as a manifestation of certain "quantum beats".
{
"annotation_id": "960cae29-464e-4812-98a0-d7819ef17d02",
"date_created": "2026-03-02T18:01:56.336000Z",
"date_modified": "2026-03-02T18:01:56.336000Z",
"file_hash": "df0c61f5ea14533a9b1b539f61414309755bda61da9fba002529996504d1dc40",
"private": false,
"record": {
"abstract": "Within quantum mechanics which works with parity-pseudo-Hermitian\nHamiltonians we study the tunneling in a symmetric double well formed by two\ndelta functions with complex conjugate strengths. The model is exactly solvable\nand exhibits several interesting features. Besides an amazingly robust absence\nof any PT symmetry breaking, we observe a quasi-degeneracy of the levels which\noccurs all over the energy range including the high-energy domain. This pattern\nis interpreted as a manifestation of certain \"quantum beats\".",
"arxiv_id": "quant-ph/0303122",
"authors": [
"Miloslav Znojil"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/36/27/315",
"journal_ref": "J. Phys. A: Math. Gen. 36 (2003) 7639-7648",
"title": "Solvable simulation of a double-well problem in PT symmetric quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0303122"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "089cd995-1fb2-49af-9868-4ab8f9889377",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}