dorsal/arxiv
View SchemaPT-symmetric supersymmetry in a solvable short-range model
| Authors | B. Bagchi, H. Bila, V. Jakubsky, S. Mallik, C. Quesne, M. Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503035 |
| URL | https://arxiv.org/abs/quant-ph/0503035 |
| DOI | 10.1142/S0217751X0602951X |
| Journal | Int. J. Mod. Phys. A 21 (2006) 2173-2190 |
Abstract
The simplest purely imaginary and piecewise constant $\cal PT$-symmetric potential located inside a larger box is studied. Unless its strength exceeds a certain critical value, all the spectrum of its bound states remains real and discrete. We interpret such a model as an initial element of the generalized non-Hermitian Witten's hierarchy of solvable Hamiltonians and construct its first supersymmetric (SUSY) partner in closed form.
{
"annotation_id": "6300f48a-c3b2-4be9-8dbc-a44cec5146cd",
"date_created": "2026-03-02T18:02:13.457000Z",
"date_modified": "2026-03-02T18:02:13.457000Z",
"file_hash": "9ca6b7d4f1d8e54574088358d872f21ef56f40afc73b0ec1cbd9635b3cc7ea48",
"private": false,
"record": {
"abstract": "The simplest purely imaginary and piecewise constant $\\cal PT$-symmetric\npotential located inside a larger box is studied. Unless its strength exceeds a\ncertain critical value, all the spectrum of its bound states remains real and\ndiscrete. We interpret such a model as an initial element of the generalized\nnon-Hermitian Witten\u0027s hierarchy of solvable Hamiltonians and construct its\nfirst supersymmetric (SUSY) partner in closed form.",
"arxiv_id": "quant-ph/0503035",
"authors": [
"B. Bagchi",
"H. Bila",
"V. Jakubsky",
"S. Mallik",
"C. Quesne",
"M. Znojil"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217751X0602951X",
"journal_ref": "Int. J. Mod. Phys. A 21 (2006) 2173-2190",
"title": "PT-symmetric supersymmetry in a solvable short-range model",
"url": "https://arxiv.org/abs/quant-ph/0503035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "943751bd-94ad-434f-adc2-00ad877bdae5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}