dorsal/arxiv
View SchemaStabilization of decaying states and quantum vortices
| Authors | Katarzyna Krajewska, Jerzy Z. Kaminski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205123 |
| URL | https://arxiv.org/abs/quant-ph/0205123 |
Abstract
A two-dimensional model of an electron moving under the influence of an attractive zero-range potential as well as external magnetic and electric fields is analyzed. We prove by numerical investigations that there are formed such resonances which manifest a peculiar dependance on the electric field intensity, i.e., although the electric field increases, the lifetime of these resonance states grows up. It is explained that this phenomenon, called further \textit{the stabilization}, is a close consequence of \textit{quantum-mechanical vortices} induced by the magnetic field and controlled by the electric field strength. In order to get more information about these vortices the phase of wavefunctions as well as the probability current for these stable resonances are investigated.
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"abstract": "A two-dimensional model of an electron moving under the influence of an\nattractive zero-range potential as well as external magnetic and electric\nfields is analyzed. We prove by numerical investigations that there are formed\nsuch resonances which manifest a peculiar dependance on the electric field\nintensity, i.e., although the electric field increases, the lifetime of these\nresonance states grows up. It is explained that this phenomenon, called further\n\\textit{the stabilization}, is a close consequence of\n\\textit{quantum-mechanical vortices} induced by the magnetic field and\ncontrolled by the electric field strength. In order to get more information\nabout these vortices the phase of wavefunctions as well as the probability\ncurrent for these stable resonances are investigated.",
"arxiv_id": "quant-ph/0205123",
"authors": [
"Katarzyna Krajewska",
"Jerzy Z. Kaminski"
],
"categories": [
"quant-ph"
],
"title": "Stabilization of decaying states and quantum vortices",
"url": "https://arxiv.org/abs/quant-ph/0205123"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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