Numerical solution of relativistic problems on bound states of systems of two spinless particles

DOI10.1007/s11182-013-0053-1zbMath1294.81041OpenAlexW1998020389MaRDI QIDQ740514

V. N. Kapshai, Yu. A. Grishechkin

Publication date: 3 September 2014

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-013-0053-1

zbMATH Keywords

Green's functiondecay constantpositroniumCoulomb potentialform factorbound statemethod of iterationstwo-particle relativistic equationone-boson exchange potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Two-body problems (70F05) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Partial quasipotential equations in the relativistic configuration representation ⋮ Coupled \(S\)-states OF relativistic two-particle systems WITH energy-dependent single boson exchange potentials ⋮ Solution of the Logunov-Tavkhelidze equation for the three-dimensional oscillator potential in the relativistic configuration representation

Cites Work

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• Relativistic equations with some point potentials
• Iteration method of solving the integral equation with nonlinear dependence on spectral parameter
• CODATA recommended values of the fundamental physical constants: 1998
• Relativistic two-particle one-dimensional scattering problem for superposition of delta-potentials

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