The Most General Corrdinate Transformation Between the Hydrogen Atom and Harmonic Oscillator in Arbitrary Dimensions
SU Ka-lin
Department of Physics, Yueyang Normal College, Yueyang 414000
The Most General Corrdinate Transformation Between the Hydrogen Atom and Harmonic Oscillator in Arbitrary Dimensions
SU Ka-lin
Department of Physics, Yueyang Normal College, Yueyang 414000
关键词 ：
03.65.Fd ,
11.30.Na ,
02.20.-a
Abstract ： In this paper, we find out the most general coordinate transformation between a d-dimensional hydrogen atom and a D-dimensional harmonic oscillator by means of the SU(1,l) algebra. In other words, the generalized Kustaanheimo-Stiefel transformation is established.
Key words ：
03.65.Fd
11.30.Na
02.20.-a
出版日期: 1997-10-01
:
03.65.Fd
(Algebraic methods)
11.30.Na
(Nonlinear and dynamical symmetries (spectrum-generating symmetries))
02.20.-a
(Group theory)
引用本文:
SU Ka-lin. The Most General Corrdinate Transformation Between the Hydrogen Atom and Harmonic Oscillator in Arbitrary Dimensions[J]. 中国物理快报, 1997, 14(10): 721-723.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y1997/V14/I10/721
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1997, Vol. 14 
