dorsal/arxiv
View SchemaQuantum toboggans
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502041 |
| URL | https://arxiv.org/abs/quant-ph/0502041 |
| DOI | 10.1016/J.PHYSLETA.2005.05.029 |
| Journal | Phys.Lett.A342:36-47,2005 |
Abstract
Among all the PT-symmetric potentials defined on complex coordinate contours C(s), the name "quantum toboggan" is reserved for those whose C(s) winds around a singularity and lives on at least two different Riemann sheets. An enriched menu of prospective phenomenological models is then obtainable via the mere changes of variables. We pay thorough attention to the harmonic oscillator example with a fractional screening and emphasize the role of the existence and invariance of its quasi-exact states for different tobogganic C(s).
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"abstract": "Among all the PT-symmetric potentials defined on complex coordinate contours\nC(s), the name \"quantum toboggan\" is reserved for those whose C(s) winds around\na singularity and lives on at least two different Riemann sheets. An enriched\nmenu of prospective phenomenological models is then obtainable via the mere\nchanges of variables. We pay thorough attention to the harmonic oscillator\nexample with a fractional screening and emphasize the role of the existence and\ninvariance of its quasi-exact states for different tobogganic C(s).",
"arxiv_id": "quant-ph/0502041",
"authors": [
"Miloslav Znojil"
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"doi": "10.1016/J.PHYSLETA.2005.05.029",
"journal_ref": "Phys.Lett.A342:36-47,2005",
"title": "Quantum toboggans",
"url": "https://arxiv.org/abs/quant-ph/0502041"
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