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Title: Reconstruction of radial Dirac operators

Abstract

We study the inverse spectral problem of reconstructing the potential of radial Dirac operators acting in the unit ball of R{sup 3}. For each one-dimensional partial Dirac operator corresponding to a nonzero angular momentum, we give a complete description of the spectral data (eigenvalues and suitably defined norming constants), prove existence and uniqueness of solutions to the inverse problem, and present the reconstruction algorithm.

Authors:
; ;  [1];  [2]
  1. Institut fuer Angewandte Mathematik, Universitaet Bonn, Wegelerstrasse 6, D-53115, Bonn (Germany)
  2. (Ukraine) and Lviv University, 1 Universytetska Street, 79602 Lviv (Ukraine)
Publication Date:
OSTI Identifier:
20929683
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 4; Other Information: DOI: 10.1063/1.2709847; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; ANGULAR MOMENTUM; DIRAC EQUATION; DIRAC OPERATORS; EIGENVALUES; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS

Citation Formats

Albeverio, S., Hryniv, R., Mykytyuk, Ya., and Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova Street, 79602 Lviv. Reconstruction of radial Dirac operators. United States: N. p., 2007. Web. doi:10.1063/1.2709847.
Albeverio, S., Hryniv, R., Mykytyuk, Ya., & Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova Street, 79602 Lviv. Reconstruction of radial Dirac operators. United States. doi:10.1063/1.2709847.
Albeverio, S., Hryniv, R., Mykytyuk, Ya., and Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova Street, 79602 Lviv. Sun . "Reconstruction of radial Dirac operators". United States. doi:10.1063/1.2709847.
@article{osti_20929683,
title = {Reconstruction of radial Dirac operators},
author = {Albeverio, S. and Hryniv, R. and Mykytyuk, Ya. and Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova Street, 79602 Lviv},
abstractNote = {We study the inverse spectral problem of reconstructing the potential of radial Dirac operators acting in the unit ball of R{sup 3}. For each one-dimensional partial Dirac operator corresponding to a nonzero angular momentum, we give a complete description of the spectral data (eigenvalues and suitably defined norming constants), prove existence and uniqueness of solutions to the inverse problem, and present the reconstruction algorithm.},
doi = {10.1063/1.2709847},
journal = {Journal of Mathematical Physics},
number = 4,
volume = 48,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}