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Solving one‐dimensional Schrödinger‐like equations using a numerical matrix method

 

作者: Juan F. Van der Maelen Uría,   Santiago García‐Granda,   Amador Menéndez‐Velázquez,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 3  

页码: 327-332

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18242

 

出版商: American Association of Physics Teachers

 

关键词: BOUND STATE;EIGENVALUES;FINITE DIFFERENCE METHOD;NUMERICAL SOLUTION;ONE−DIMENSIONAL CALCULATIONS;QUANTIZATION;SCHROEDINGER EQUATION;03.65;02.70

 

数据来源: AIP

 

摘要:

A numerical method for the solution of one‐dimensional Schrödinger‐like equations with arbitrary numerical or analytical potentials is presented. The method takes advantage of matrix algebra for both obtaining several eigenvalues and eigenvectors at the same time and saving computer time. On the other hand, the method illustrates the close relationship between differential and algebraic eigenvalue problems, as well as the mathematical origin of quantization. Several examples are worked out in the text and the procedure for applying a user friendly routine to other problems is given.

 

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