Novel method for solution of coupled radial Schrödinger equations
- 18 August 2011
- journal article
- Published by Pleiades Publishing Ltd in Physics of Atomic Nuclei
- Vol. 74 (8), 1151-1161
- https://doi.org/10.1134/s1063778811080060
Abstract
One of the major problems in numerical solution of coupled differential equations is the maintenance of linear independence for different sets of solution vectors. A novel method for solution of radial Schrödinger equations is suggested. It consists of rearrangement of coupled equations in a way that is appropriate to avoid usual numerical instabilities associated with components of the wave function in their classically forbidden regions. Applications of the new method for nuclear structure calculations within the hyperspherical harmonics approach are given.Keywords
This publication has 16 references indexed in Scilit:
- Coupled channel methods for solving the bound-state Schrödinger equationComputer Physics Communications, 1994
- Bound state properties of Borromean halo nuclei: 6He and 11LiPhysics Reports, 1993
- The Neutron Halo of Extremely Neutron-Rich NucleiEurophysics Letters, 1987
- Measuring the accuracy of the solution subspace obtained by numerical integration of the Schrödinger equationComputer Physics Communications, 1986
- Separable approximation for exchange interactions in electron-molecule scattering: Numerical stabilization proceduresPhysical Review A, 1982
- Perturbative numerical methods to solve the Schrödinger equationComputer Physics Communications, 1980
- The renormalized Numerov method applied to calculating bound states of the coupled-channel Schroedinger equationThe Journal of Chemical Physics, 1978
- Quantum Mechanical Studies of the Vibrational Excitation of H2 by Li+The Journal of Chemical Physics, 1972
- Electron scattering by complex atomsJournal of Physics B: Atomic and Molecular Physics, 1971
- New Method for Constructing Wavefunctions for Bound States and ScatteringThe Journal of Chemical Physics, 1969