Eigenvalues of One-Dimensional Systems by a Matrix Method
作者:
Michel Nicola,
期刊:
American Journal of Physics
(AIP Available online 1972)
卷期:
Volume 40,
issue 11
页码: 1647-1652
ISSN:0002-9505
年代: 1972
DOI:10.1119/1.1987004
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
A matrix method for finding the energy eigenvalues of one-dimensional systems is given. The method utilizes the correspondence principle to find the separation of every two successive eigenvalues and the uncertainty principle to find the lowest energy. The harmonic oscillator and the infinite square well are solved exactly, and the WKB approximation for bound state energies is deduced.
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