dorsal/arxiv
View SchemaDuality and Anholonomy in Quantum Mechanics of 1D Contact Interactions
| Authors | Izumi Tsutsui, Tamas Fulop, Taksu Cheon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003069 |
| URL | https://arxiv.org/abs/quant-ph/0003069 |
| DOI | 10.1143/JPSJ.69.3473 |
| Journal | Jour. Phys. Soc. Jpn. 69 (2000) 3473 |
Abstract
We study systems with parity invariant contact interactions in one dimension. The model analyzed is the simplest nontrivial one --- a quantum wire with a point defect --- and yet is shown to exhibit exotic phenomena, such as strong vs weak coupling duality and spiral anholonomy in the spectral flow. The structure underlying these phenomena is SU(2), which arises as accidental symmetry for a particular class of interactions.
{
"annotation_id": "862798b0-ff8e-418a-9b1d-9746c8b52c90",
"date_created": "2026-03-02T18:01:39.319000Z",
"date_modified": "2026-03-02T18:01:39.319000Z",
"file_hash": "9ef9a8db9337167a4d3299f7deddb950c482bbdee687f90bdebb6ddbd2c35d13",
"private": false,
"record": {
"abstract": "We study systems with parity invariant contact interactions in one dimension.\nThe model analyzed is the simplest nontrivial one --- a quantum wire with a\npoint defect --- and yet is shown to exhibit exotic phenomena, such as strong\nvs weak coupling duality and spiral anholonomy in the spectral flow. The\nstructure underlying these phenomena is SU(2), which arises as accidental\nsymmetry for a particular class of interactions.",
"arxiv_id": "quant-ph/0003069",
"authors": [
"Izumi Tsutsui",
"Tamas Fulop",
"Taksu Cheon"
],
"categories": [
"quant-ph",
"cond-mat",
"math-ph",
"math.MP"
],
"doi": "10.1143/JPSJ.69.3473",
"journal_ref": "Jour. Phys. Soc. Jpn. 69 (2000) 3473",
"title": "Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions",
"url": "https://arxiv.org/abs/quant-ph/0003069"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7687b413-42f0-4387-9bdf-3ed941016113",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}