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Dimensionality as a perturbation parameter in the generalized hydrogen atom

 

作者: C. R. Hagen,  

 

期刊: American Journal of Physics  （AIP Available online 1995）
卷期: Volume 63, issue 11  

页码: 1039-1040

 

ISSN:0002-9505

 

年代: 1995

 

DOI:10.1119/1.18054

 

出版商: American Association of Physics Teachers

 

关键词: COULOMB FIELD;ENERGY LEVELS;ENERGY SPECTRA;HYDROGEN;MANY−DIMENSIONAL CALCULATIONS;PERTURBATION THEORY;QUANTUM NUMBERS;UNCERTAINTY PRINCIPLE

 

数据来源: AIP

 

摘要:

A recent suggestion has been made that the hydrogen bound state spectrum should not depend on the number of spatial dimensions. It is pointed out here that the uncertainty principle implies that such differences must exist and that a perturbation expansion in the dimensionality parameter yields a precise quantitative confirmation of the effect.

 

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