dorsal/arxiv
View SchemaA general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
| Authors | B. Bagchi, P. Gorain, C. Quesne, R. Roychoudhury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405193 |
| URL | https://arxiv.org/abs/quant-ph/0405193 |
| DOI | 10.1142/S0217732304016123 |
| Journal | Mod. Phys. Lett. A 19 (2004) 2765-2775 |
Abstract
A systematic procedure to study one-dimensional Schr\"odinger equation with a position-dependent effective mass (PDEM) in the kinetic energy operator is explored. The conventional free-particle problem reveals a new and interesting situation in that, in the presence of a mass background, formation of bound states is signalled. We also discuss coordinate-transformed, constant-mass Schr\"odinger equation, its matching with the PDEM form and the consequent decoupling of the ambiguity parameters. This provides a unified approach to many exact results known in the literature, as well as to a lot of new ones.
{
"annotation_id": "62461443-7c33-44c1-8f25-fca0fa56a590",
"date_created": "2026-03-02T18:02:06.635000Z",
"date_modified": "2026-03-02T18:02:06.635000Z",
"file_hash": "bce4af26088387e7a49569ad67dd8b56f092845b5dbb3c7b8658bcc334f488fd",
"private": false,
"record": {
"abstract": "A systematic procedure to study one-dimensional Schr\\\"odinger equation with a\nposition-dependent effective mass (PDEM) in the kinetic energy operator is\nexplored. The conventional free-particle problem reveals a new and interesting\nsituation in that, in the presence of a mass background, formation of bound\nstates is signalled. We also discuss coordinate-transformed, constant-mass\nSchr\\\"odinger equation, its matching with the PDEM form and the consequent\ndecoupling of the ambiguity parameters. This provides a unified approach to\nmany exact results known in the literature, as well as to a lot of new ones.",
"arxiv_id": "quant-ph/0405193",
"authors": [
"B. Bagchi",
"P. Gorain",
"C. Quesne",
"R. Roychoudhury"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0217732304016123",
"journal_ref": "Mod. Phys. Lett. A 19 (2004) 2765-2775",
"title": "A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials",
"url": "https://arxiv.org/abs/quant-ph/0405193"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b6306a0d-7493-40bb-a709-98eab6d395b3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}