dorsal/arxiv
View SchemaSymmetry, Duality and Anholonomy of Point Interactions in One Dimension
| Authors | Taksu Cheon, Tamas Fulop, Izumi Tsutsui |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008123 |
| URL | https://arxiv.org/abs/quant-ph/0008123 |
| DOI | 10.1006/aphy.2001.6193 |
| Journal | Annals of Physics 294 (2001) 1-23 |
Abstract
We analyze the spectral structure of the one dimensional quantum mechanical system with point interaction, which is known to be parametrized by the group U(2). Based on the classification of the interactions in terms of symmetries, we show, on a general ground, how the fermion-boson duality and the spectral anholonomy recently discovered can arise. A vital role is played by a hidden su(2) formed by a certain set of discrete transformations, which becomes a symmetry if the point interaction belongs to a distinguished U(1) subfamily in which all states are doubly degenerate. Within the U(1), there is a particular interaction which admits the interpretation of the system as a supersymmetric Witten model.
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"abstract": "We analyze the spectral structure of the one dimensional quantum mechanical\nsystem with point interaction, which is known to be parametrized by the group\nU(2). Based on the classification of the interactions in terms of symmetries,\nwe show, on a general ground, how the fermion-boson duality and the spectral\nanholonomy recently discovered can arise. A vital role is played by a hidden\nsu(2) formed by a certain set of discrete transformations, which becomes a\nsymmetry if the point interaction belongs to a distinguished U(1) subfamily in\nwhich all states are doubly degenerate. Within the U(1), there is a particular\ninteraction which admits the interpretation of the system as a supersymmetric\nWitten model.",
"arxiv_id": "quant-ph/0008123",
"authors": [
"Taksu Cheon",
"Tamas Fulop",
"Izumi Tsutsui"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1006/aphy.2001.6193",
"journal_ref": "Annals of Physics 294 (2001) 1-23",
"title": "Symmetry, Duality and Anholonomy of Point Interactions in One Dimension",
"url": "https://arxiv.org/abs/quant-ph/0008123"
},
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