dorsal/arxiv
View SchemaTrapped Particles in $PT$ Symmetric Theories
| Authors | C. Yuce, A. Kurt, A. Kucukaslan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602103 |
| URL | https://arxiv.org/abs/quant-ph/0602103 |
Abstract
$PT$ symmetric quantum mechanics for a particle trapped by the generalized non-Hermitian harmonic oscillator potential is studied. It is shown that energy and the expectation value of the position operator $x$ can not be real simultaneously, if the particle is trapped. Non-vanishing boundary conditions for the trapped particle in $PT$ symmetric theory are also discussed.
{
"annotation_id": "74fcf17b-637e-4bb8-881a-702e0c391cd9",
"date_created": "2026-03-02T18:02:23.829000Z",
"date_modified": "2026-03-02T18:02:23.829000Z",
"file_hash": "4927f239c26d7903aa685da80e781ddd05bf58511a396f6e6a3379fe6d0de364",
"private": false,
"record": {
"abstract": "$PT$ symmetric quantum mechanics for a particle trapped by the generalized\nnon-Hermitian harmonic oscillator potential is studied. It is shown that energy\nand the expectation value of the position operator $x$ can not be real\nsimultaneously, if the particle is trapped. Non-vanishing boundary conditions\nfor the trapped particle in $PT$ symmetric theory are also discussed.",
"arxiv_id": "quant-ph/0602103",
"authors": [
"C. Yuce",
"A. Kurt",
"A. Kucukaslan"
],
"categories": [
"quant-ph"
],
"title": "Trapped Particles in $PT$ Symmetric Theories",
"url": "https://arxiv.org/abs/quant-ph/0602103"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "010aef7e-f744-49cf-a6c3-2cf4ae040f8a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}