dorsal/arxiv
View SchemaA new class of quasi-exactly solvable potentials with position dependent mass
| Authors | Ramazan Koc, Mehmet Koca, Eser Korcuk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410108 |
| URL | https://arxiv.org/abs/quant-ph/0410108 |
| Journal | J. Phys. A: Math. Gen. 35, (2002) L1-L4 |
Abstract
A new class of quasi exactly solvable potentials with a variable mass in the Schroedinger equation is presented. We have derived a general expression for the potentials also including Natanzon confluent potentials. The general solution of the Schroedinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.
{
"annotation_id": "520e1ebb-0dd6-44d3-873e-6f6e2054d373",
"date_created": "2026-03-02T18:02:10.340000Z",
"date_modified": "2026-03-02T18:02:10.340000Z",
"file_hash": "54368a1ccee4be371ecc024709f13e2d198ba35f278503bf06eec2dd4497143d",
"private": false,
"record": {
"abstract": "A new class of quasi exactly solvable potentials with a variable mass in the\nSchroedinger equation is presented. We have derived a general expression for\nthe potentials also including Natanzon confluent potentials. The general\nsolution of the Schroedinger equation is determined and the eigenstates are\nexpressed in terms of the orthogonal polynomials.",
"arxiv_id": "quant-ph/0410108",
"authors": [
"Ramazan Koc",
"Mehmet Koca",
"Eser Korcuk"
],
"categories": [
"quant-ph"
],
"journal_ref": "J. Phys. A: Math. Gen. 35, (2002) L1-L4",
"title": "A new class of quasi-exactly solvable potentials with position dependent mass",
"url": "https://arxiv.org/abs/quant-ph/0410108"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "980693b4-4b9c-47ae-92be-95a2c19efef5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}