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A highly convergent perturbative method for the solution of systems of coupled equations arising from the Schrödinger equation

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Publication:1151247
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DOI10.1016/0021-9991(80)90183-7zbMath0457.65059OpenAlexW2163250996MaRDI QIDQ1151247

L. Gr. Ixaru

Publication date: 1980

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90183-7


zbMATH Keywords

systemsSchrödinger equationlocal truncation errorperturbative methodaccumulated error


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical methods for initial value problems involving ordinary differential equations (65L05)


Related Items

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ LILIX -- a package for the solution of the coupled channel Schrödinger equation



Cites Work

  • Choosing step sizes for perturbative methods of solving the Schrödinger equation
  • A first-order perturbative numerical method for the solution of the radial Schrödinger equation
  • The numerical solution of coupled differential equations arising from the Schrödinger equation
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