The J-matrix method

被引：25

作者：

Ismail, Mourad E. H. ^{[2
,3
]}

Koelink, Erik ^{[1
]}

机构：

[1] Radboud Univ Nijmegen, IMAPP, FNWI, NL-6525 AJ Nijmegen, Netherlands

[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[3] King Saud Univ, Riyadh, Saudi Arabia

来源：

ADVANCES IN APPLIED MATHEMATICS | 2011年 / 46卷 / 1-4期

关键词：

Tridiagonal operator; Orthogonal polynomials; Schrodinger operator with Morse potential; Lame equation; GAUSS QUADRATURE; POLYNOMIALS; CONTINUUM; SYSTEMS;

D O I：

10.1016/j.aam.2010.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an operator L acting on a function space, the J-matrix method consists of finding a sequence y(n) of functions such that the operator L acts tridiagonally on y(n). Once such a tridiagonalization is obtained, a number of characteristics of the operator L can be obtained. In particular, information on eigenvalues and eigenfunctions, bound states, spectral decompositions, etc. can be obtained in this way. We discuss the general set-up and next two examples in detail; the Schrodinger operator with Morse potential and the Lame equation. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：379 / 395

页数：17

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