dorsal/arxiv
View SchemaScattering and Bound State Green's Functions on a Plane via so(2,1) Lie Algebra
| Authors | P. F. Borges, H. Boschi-Filho, A. N. Vaidya |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604092 |
| URL | https://arxiv.org/abs/quant-ph/0604092 |
| DOI | 10.1063/1.2363259 |
| Journal | J.Math.Phys. 47 (2006) 112103 |
Abstract
We calculate the Green's functions for the particle-vortex system, for two anyons on a plane with and without a harmonic regulator and in a uniform magnetic field. These Green's functions which describe scattering or bound states (depending on the specific potential in each case) are obtained exactly using an algebraic method related to the SO(2,1) Lie group. From these Green's functions we obtain the corresponding wave functions and for the bound states we also find the energy spectra.
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"abstract": "We calculate the Green\u0027s functions for the particle-vortex system, for two\nanyons on a plane with and without a harmonic regulator and in a uniform\nmagnetic field. These Green\u0027s functions which describe scattering or bound\nstates (depending on the specific potential in each case) are obtained exactly\nusing an algebraic method related to the SO(2,1) Lie group. From these Green\u0027s\nfunctions we obtain the corresponding wave functions and for the bound states\nwe also find the energy spectra.",
"arxiv_id": "quant-ph/0604092",
"authors": [
"P. F. Borges",
"H. Boschi-Filho",
"A. N. Vaidya"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1063/1.2363259",
"journal_ref": "J.Math.Phys. 47 (2006) 112103",
"title": "Scattering and Bound State Green\u0027s Functions on a Plane via so(2,1) Lie Algebra",
"url": "https://arxiv.org/abs/quant-ph/0604092"
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