Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems

DOI10.1016/j.cam.2008.09.012zbMath1165.65046OpenAlexW1996230973MaRDI QIDQ1019788

M. Rizea, Marnix van Daele, I. Silişteanu, Veerle Ledoux, Guido Vanden Berghe

Publication date: 28 May 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.09.012

zbMATH Keywords

numerical exampleseigenvalue problemCP methodscoupled channel Schrödinger equationconstant perturbation (C8) method

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) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian ⋮ An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function

Uses Software

• LILIX
• PERSYS
• COULCC

Cites Work

• Unnamed Item
• \(CPM\{P,N\}\) methods extended for the solution of coupled channel Schrödinger equations
• A numerical procedure to solve the multichannel Schrödinger eigenvalue problem
• COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments
• Automatic solution of regular and singular vector Sturm-Liouville problems
• Classical and vector Sturm-Liouville problems: Recent advances in singular-point analysis and shooting-type algorithms
• PERSYS--A program for the solution near the origin of coupled channel Schrödinger equation with singular potential
• Coupled channel methods for solving the bound-state Schrödinger equation
• An exponentially fitted two-step method with predictor-corrector form for the solution of nonlinear or coupled Schrödinger equations
• LILIX -- a package for the solution of the coupled channel Schrödinger equation
• A program for coupled-channel calculations with all order couplings for heavy-ion fusion reactions.
• Solving Hamiltonian systems arising from ODE eigenproblems
• Discrete and continuous boundary problems
• Families of Runge-Kutta-Nystrom Formulae
• Solving Ordinary Differential Equations I
• Unitary Integrators and Applications to Continuous Orthonormalization Techniques

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