A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem

DOI10.1134/S0361768807020089zbMath1137.65428MaRDI QIDQ2371569

O. Chuluunbaatar, V. A. Rostovtsev, Vladimir P. Gerdt, T. V. Tyupikova, V. N. Samoilov, Michael Kaschiev, Alexander Gusev, S. I. Vinitskij

Publication date: 5 July 2007

Published in: Programming and Computer Software (Search for Journal in Brave)

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Atomic physics (81V45) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Symbolic investigation of the spectral characteristics of guided modes in smoothly irregular waveguides ⋮ Symbolic-numerical implementation of the Galerkin method for approximate solution of the waveguide diffraction problem ⋮ Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models ⋮ KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach ⋮ 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

Uses Software

• Maple

Cites Work

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• A comparison of algorithms for the normalization and quantization of polynomial Hamiltonians
• Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation
• Theoretical Atomic Physics
• A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in Magnetic Field
• Eigenvalues and Eigenfunctions of the Spheroidal Wave Equation

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