dorsal/arxiv
View SchemaSupersymmetric Method for Constructing Quasi-Exactly Solvable Potentials
| Authors | V. M. Tkachuk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806030 |
| URL | https://arxiv.org/abs/quant-ph/9806030 |
Abstract
We propose a new method for constructing the quasi-exactly solvable (QES) potentials with two known eigenstates using supersymmetric quantum mechanics. General expression for QES potentials with explicitly known energy levels and wave functions of ground state and excited state are obtained. Examples of new QES potentials are considered.
{
"annotation_id": "6a495f59-9123-40ca-b495-135efc0845af",
"date_created": "2026-03-02T18:02:43.873000Z",
"date_modified": "2026-03-02T18:02:43.873000Z",
"file_hash": "c2cc838935ba6010b332f3f96ee1309cd0731a4f3ece8fa7029aa48fdaf1fc37",
"private": false,
"record": {
"abstract": "We propose a new method for constructing the quasi-exactly solvable (QES)\npotentials with two known eigenstates using supersymmetric quantum mechanics.\nGeneral expression for QES potentials with explicitly known energy levels and\nwave functions of ground state and excited state are obtained. Examples of new\nQES potentials are considered.",
"arxiv_id": "quant-ph/9806030",
"authors": [
"V. M. Tkachuk"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"title": "Supersymmetric Method for Constructing Quasi-Exactly Solvable Potentials",
"url": "https://arxiv.org/abs/quant-ph/9806030"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b388aeb8-12e5-4614-924e-4593f60cd494",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}