dorsal/arxiv
View SchemaHeun Functions and the energy spectrum of a charged particle on a sphere under magnetic field and Coulomb force
| Authors | A. Ralko, T. T. Truong |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209152 |
| URL | https://arxiv.org/abs/quant-ph/0209152 |
| DOI | 10.1088/0305-4470/35/45/306 |
Abstract
We study the competitive action of magnetic field, Coulomb repulsion and space curvature on the motion of a charged particle. The three types of interaction are characterized by three basic lengths: l_{B} the magnetic length, l_{0} the Bohr radius and R the radius of the sphere. The energy spectrum of the particle is found by solving a Schr\"odinger equation of the Heun type, using the technique of continued fractions. It displays a rich set of functioning regimes where ratios \frac{R}{l_{B}} and \frac{R}{l_{0}} take definite values.
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"abstract": "We study the competitive action of magnetic field, Coulomb repulsion and\nspace curvature on the motion of a charged particle. The three types of\ninteraction are characterized by three basic lengths: l_{B} the magnetic\nlength, l_{0} the Bohr radius and R the radius of the sphere. The energy\nspectrum of the particle is found by solving a Schr\\\"odinger equation of the\nHeun type, using the technique of continued fractions. It displays a rich set\nof functioning regimes where ratios \\frac{R}{l_{B}} and \\frac{R}{l_{0}} take\ndefinite values.",
"arxiv_id": "quant-ph/0209152",
"authors": [
"A. Ralko",
"T. T. Truong"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1088/0305-4470/35/45/306",
"title": "Heun Functions and the energy spectrum of a charged particle on a sphere under magnetic field and Coulomb force",
"url": "https://arxiv.org/abs/quant-ph/0209152"
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