Few-body integrodifferential equation on Lagrange mesh

The two-variable integrodifferential equation for few-body systems is solved using the Lagrange-mesh method. The method transforms the equation into a system of algebraic equations that are solved as a non-symmetric matrix eigenvalue problem. Convergence properties of the solution to the integrodiff...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-10, Vol.915 (1), p.12005
Main Authors: Rampho, G J, Mabunda, L C, Ramantswana, M
Format: Article
Language:English
Subjects:
Convergence
Eigenvalues
Few-body systems
Mathematical analysis
Matrices (mathematics)
Physics
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Summary:The two-variable integrodifferential equation for few-body systems is solved using the Lagrange-mesh method. The method transforms the equation into a system of algebraic equations that are solved as a non-symmetric matrix eigenvalue problem. Convergence properties of the solution to the integrodifferential equation in relation to the problem parameters is investigated. The accuracy of the converged solution is tested by calculating the binding energies and root-mean-square radii of selected few-body systems. The results are compared to those generated by other methods.
ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/915/1/012005