The Most General Corrdinate Transformation Between the Hydrogen Atom and Harmonic Oscillator in Arbitrary Dimensions

Chin. Phys. Lett.

1997, Vol. 14

Issue (10): 721-723 DOI:

Original Articles

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

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SU Ka-lin 1997 Chin. Phys. Lett. 14 721-723

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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.

Keywords: 03.65.Fd 11.30.Na 02.20.-a

Published: 01 October 1997

PACS:	03.65.Fd	(Algebraic methods)
	11.30.Na	(Nonlinear and dynamical symmetries (spectrum-generating symmetries))
	02.20.-a	(Group theory)

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