dorsal/arxiv
View SchemaBound states of a spin-1/2 charged particle in a magnetic flux tube
| Authors | R. M. Cavalcanti, C. A. A. de Carvalho |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805026 |
| URL | https://arxiv.org/abs/quant-ph/9805026 |
| DOI | 10.1088/0305-4470/31/34/009 |
| Journal | J.Phys.A31:7061-7063,1998 |
Abstract
We study a spin-1/2 charged particle with gyromagnetic factor g>2 moving in a plane threaded by a magnetic flux tube. We prove that, if the magnetic field (i) has radial symmetry, (ii) has compact support and (iii) does not change sign, there is at least one bound state for each angular momentum l in the interval [0,v], where v (assumed positive) is the total magnetic flux in units of the quantum of flux.
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"abstract": "We study a spin-1/2 charged particle with gyromagnetic factor g\u003e2 moving in a\nplane threaded by a magnetic flux tube. We prove that, if the magnetic field\n(i) has radial symmetry, (ii) has compact support and (iii) does not change\nsign, there is at least one bound state for each angular momentum l in the\ninterval [0,v], where v (assumed positive) is the total magnetic flux in units\nof the quantum of flux.",
"arxiv_id": "quant-ph/9805026",
"authors": [
"R. M. Cavalcanti",
"C. A. A. de Carvalho"
],
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"quant-ph",
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"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/31/34/009",
"journal_ref": "J.Phys.A31:7061-7063,1998",
"title": "Bound states of a spin-1/2 charged particle in a magnetic flux tube",
"url": "https://arxiv.org/abs/quant-ph/9805026"
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