POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field

DOI10.1016/j.cpc.2007.09.005zbMath1196.65175OpenAlexW2139105134MaRDI QIDQ710312

A. G. Abrashkevich, V. A. Rostovtsev, O. Chuluunbaatar, Vladimir P. Gerdt, Michael Kaschiev, Vladislav V. Serov, S. I. Vinitskij, Alexander Gusev

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2007.09.005

zbMATH Keywords

finite element methodordinary differential equationsKantorovich methodeigenvalue and multi-channel scattering problemsmulti-channel adiabatic approximationhigh-order accuracy approximationR-matrix calculation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Atomic physics (81V45) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (7)

ODPEVP: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined Sturm-Liouville problem ⋮ High-accuracy numerical calculations of the bound states of a hydrogen atom in a constant magnetic field with arbitrary strength ⋮ POTHEA: a program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined 2D elliptic partial differential equation ⋮ Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models ⋮ KANTBP 2.0: new version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach ⋮ POTHMF ⋮ Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity

Uses Software

• KANTBP

Cites Work

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• KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach
• A new method for solving an eigenvalue problem for a system of three Coulomb particles within the hyperspherical adiabatic reprentation.
• A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem
• Global convergence of tridiagonal QR algorithm with origin shifts
• A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in Magnetic Field
• Calculation of a hydrogen atom photoionization in a strong magnetic field by using the angular oblate spheroidal functions

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