Scattering and Bound State Green's Functions on a Plane via so(2,1) Lie Algebra

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dc.creatorBorges, P. F.
dc.creatorBoschi-Filho, H.
dc.creatorVaidya, A. N.
dc.date2006-04-12
dc.date2006-10-17
dc.date.accessioned2026-07-07T07:36:09Z
dc.date.available2026-07-07T07:36:09Z
dc.descriptionWe 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.
dc.description21 Latex pages. Typos corrected. Results unchanged. Version to appear in JMP
dc.identifierhttps://arxiv.org/abs/quant-ph/0604092
dc.identifierhttp://arxiv.org/abs/quant-ph/0604092
dc.identifierJ.Math.Phys. 47 (2006) 112103
dc.identifierdoi:10.1063/1.2363259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120327
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleScattering and Bound State Green's Functions on a Plane via so(2,1) Lie Algebra
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