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An exactly soluble one‐dimensional, two‐particle problem

 

作者: H. A. Gersch,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 3  

页码: 227-230

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13682

 

出版商: American Association of Physics Teachers

 

关键词: two−body problem;schroedinger equation;binding energy;correlations;one−dimensional calculations;hartree−fock method;quantum mechanics;bound state;analytical solution;ground states;wave functions;hamiltonians

 

数据来源: AIP

 

摘要:

We examine a one‐dimensional problem involving two interacting particles in an external field for which the Schrödinger equation can be solved analytically for the ground state. The Hartree approximation for this system also has a simple analytic solution of the form previously derived by Foldy. Comparison of exact and Hartree solutions leads to precise estimates of the effect of correlations on the binding energy and on the two‐particle probability distribution.

 

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