Finite difference approach for the two-dimensional Schrodinger equation with application to scission-neutron emission

被引：64

作者：

Rizea, M. ^{[2
]}

Ledoux, V. ^{[1
]}

Van Daele, M. ^{[1
]}

Vanden Berghe, G. ^{[1
]}

Carjan, N. ^{[3
]}

机构：

[1] Univ Ghent, Vakgroep Toegepaste Wiskunde Informat, B-9000 Ghent, Belgium

[2] Horia Hulubei Natl Inst Phys & Nucl Engn, Bucharest, Romania

[3] Univ Bordeaux 1, Ctr Etud Nucl Bordeaux Gradignan, UMR 5797, CNRS,IN2P3, F-33175 Gradignan, France

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2008年 / 179卷 / 07期

关键词：

Two-dimensional Schrodinger equation; Adapted finite difference formulae; Cassini parametrization; Algebraic eigenvalue problem; Amoldi method; Scission neutrons; Sudden approximation;

D O I：

10.1016/j.cpc.2008.04.009

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a grid-based procedure to solve the eigenvalue problem for the two-dimensional Schrodinger equation in cylindrical coordinates. The Hamiltonian is discretized by using adapted finite difference approximations of the derivatives and this leads to an algebraic eigenvalue problem with a large (sparse) matrix, which is solved by the method of Arnoldi. By this procedure the single particle eigenstates of nuclear systems with arbitrary deformations can be obtained. As an application we have considered the emission of scission neutrons from fissioning nuclei. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：466 / 478

页数：13

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