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Effect of the boundary conditions on the accuracy of perturbation theory

 

作者: M. Coronado,   N. Domínguez,   J. Flores,   C. de la Portilla,  

 

期刊: American Journal of Physics  （AIP Available online 1987）
卷期: Volume 55, issue 10  

页码: 924-929

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.14906

 

出版商: American Association of Physics Teachers

 

关键词: PERTURBATION THEORY;ACCURACY;BOUNDARY CONDITIONS;SLABS;DIFFERENTIAL EQUATIONS;ONE−DIMENSIONAL CALCULATIONS;QUANTUM MECHANICS;EIGENVALUES;WAVEGUIDES;DIELECTRIC MATERIALS;NEUTRON TRANSPORT THEORY;REACTORS;DIFFUSION

 

数据来源: AIP

 

摘要:

The problems of a square well in quantum mechanics, a slab reactor in neutron diffusion theory, and a planar dielectric waveguide imply solving the same second‐order differential equation but with different boundary conditions. In order to study the influence of different boundary conditions on the accuracy of first‐ and second‐order perturbation theory, the above problems are solved both exactly and by perturbation methods for the case of three slabs. A numerical comparison shows that the simpler the boundary conditions are, the more accurate the results of perturbation theory become.

 

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