On the isotropic oscillator and the hydrogenic atom in classical and quantum mechanics
作者:
Ronald Rockmore,
期刊:
American Journal of Physics
(AIP Available online 1975)
卷期:
Volume 43,
issue 1
页码: 29-32
ISSN:0002-9505
年代: 1975
DOI:10.1119/1.10010
出版商: American Association of Physics Teachers
关键词: HYDROGEN;ENERGY LEVELS;QUANTUM MECHANICS;QUANTUM NUMBERS;HARMONIC OSCILLATOR MODELS
数据来源: AIP
摘要:
It is shown how one may simply associate the problem of the isotropic oscillator to that of the hydrogenic atom in classical dynamics, particularly in its action−angle variable formulation, so that the solution of the one problem implies that of the other. This relationship persists in the two−dimensional quantum mechanics and provides the key to the construction of a wave pocket solution for the isotropic oscillator in the region of large principal quantum number in three dimensions.
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