dorsal/arxiv
View SchemaPT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach
| Authors | B. Bagchi, A. Banerjee, C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606012 |
| URL | https://arxiv.org/abs/quant-ph/0606012 |
| DOI | 10.1007/s10582-006-0385-y |
| Journal | Czech.J.Phys.56:893-898,2006 |
Abstract
To lowest order of perturbation theory we show that an equivalence can be established between a $\cal PT$-symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian $h$. An important feature of $h$ is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical quantities.
{
"annotation_id": "97adb89e-5ac0-4cf5-ba7c-c70138aaf503",
"date_created": "2026-03-02T18:02:27.505000Z",
"date_modified": "2026-03-02T18:02:27.505000Z",
"file_hash": "3474de89135349f008967d1c8f55c41e183b9759a1b85dc3bd86ca85d05d63e6",
"private": false,
"record": {
"abstract": "To lowest order of perturbation theory we show that an equivalence can be\nestablished between a $\\cal PT$-symmetric generalized quartic anharmonic\noscillator model and a Hermitian position-dependent mass Hamiltonian $h$. An\nimportant feature of $h$ is that it reveals a domain of couplings where the\nquartic potential could be attractive, vanishing or repulsive. We also\ndetermine the associated physical quantities.",
"arxiv_id": "quant-ph/0606012",
"authors": [
"B. Bagchi",
"A. Banerjee",
"C. Quesne"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1007/s10582-006-0385-y",
"journal_ref": "Czech.J.Phys.56:893-898,2006",
"title": "PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach",
"url": "https://arxiv.org/abs/quant-ph/0606012"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "08295e8b-2daf-40d2-b3e9-31754bf4b3aa",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}