Resolution of the Schrödinger equation through a simple algebraic technique
作者:
Francisco M. Fernández,
Eduardo A. Castro,
期刊:
American Journal of Physics
(AIP Available online 1984)
卷期:
Volume 52,
issue 4
页码: 344-346
ISSN:0002-9505
年代: 1984
DOI:10.1119/1.13665
出版商: American Association of Physics Teachers
关键词: schroedinger equation;eigenvalues;quantum mechanics;hydrogen;atoms;harmonic oscillators;morse potential;algebra;mathematical operators
数据来源: AIP
摘要:
It is shown that the eigenvalues of the simple quantum‐mechanical models usually studied in the first courses on Quantum Mechanics can be obtained through a very simple algebraic technique. TheN‐dimensional hydrogen atom, theN‐dimensional isotropic harmonic oscillator, and the Morse oscillator are discussed as illustrative examples.
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