论文信息 - The numerical solution of coupled differential equations arising from the Schrödinger equation

The numerical solution of coupled differential equations arising from the Schrödinger equation

Abstract Several step-by-step methods for the numerical solution of coupled differential equations are given and compared under realistic circumstances. A variant of the Numerov method is found to be the most efficient. A novel method that consists of approximating the solutions by sets of Airy functions is investigated.

A. C. Allison | A. C Allison

[1] D. R. Hartree,et al. The calculation of atomic structures , 1959 .

[2] W. Lester,et al. Computational Procedure for the Close‐Coupled Rotational Excitation Problem: Scattering of Diatomic Molecules by Atoms , 1968 .

[3] Norman A. Baily,et al. Computing Methods For Scientists And Engineers , 1968 .

[4] Roy G. Gordon,et al. New Method for Constructing Wavefunctions for Bound States and Scattering , 1969 .

[5] D. Secrest,et al. A validation of the method of amplitude density functions in computing the S-matrix for a scattering problem. , 1967 .

[6] Richard B. Bernstein,et al. Quantum Mechanical (Phase Shift) Analysis of Differential Elastic Scattering of Molecular Beams , 1960 .

[7] John M. Blatt,et al. Practical points concerning the solution of the Schrödinger equation , 1967 .

[8] J. Lester. De Vogelaere's method for the numerical integration of second-order differential equations without explicit first derivatives: Application to coupled equations arising from the schrödinger equation , 1968 .

[9] W. Lester,et al. Structural features of the S-matrix for the rotational excitation of homonuclear diatomic molecules by atom impact - Close-coupled versus approximate computations. , 1967 .

[10] P. Burke,et al. The scattering of electrons by atomic systems with configurations 2pq and 3pq , 1966 .