An improved discretization of Schrödinger-like radial equations

DOI10.1088/1751-8121/aacc8bzbMath1397.81063arXiv1807.01392OpenAlexW2807835230MaRDI QIDQ4689475

Victor Laliena, Javier Campo

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01392

zbMATH Keywords

eigenvalue problemfinite differencesradial equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Discrete version of topics in analysis (39A12) Finite difference and finite volume methods for ordinary differential equations (65L12)

Uses Software

• Matlab
• ARPACK

Cites Work

• Unnamed Item
• A new phase-fitted modified Runge-Kutta pair for the numerical solution of the radial Schrödinger equation
• Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
• An optimized Runge-Kutta method for the numerical solution of the radial Schrödinger equation
• Structure of a quantized vortex in boson systems
• A non-linear field theory
• Multiple shooting method for two-point boundary value problems
• Shooting methods for the Schrodinger equation
• ARPACK Users' Guide
• Spectral Methods in MATLAB
• Exact soliton-like solutions of the radial Gross–Pitaevskii equation
• On finite difference methods for the solution of the Schrödinger equation
• Hyperfine Splitting of Donor States in Silicon

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