Relationship Between the Coulomb and Oscillator Problems in
Arbitrary Dimensions

Chin. Phys. Lett.

1994, Vol. 11

Issue (12): 724-726 DOI:

Original Articles

Relationship Between the Coulomb and Oscillator Problems in Arbitrary Dimensions

ZENG Gaojian;SU Kalin;LI Min

Department of Physics, Hunan Normal University, Changsha 410006

Cite this article:

ZENG Gaojian, SU Kalin, LI Min 1994 Chin. Phys. Lett. 11 724-726

Download: PDF(117KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract It is shown that there is a simpler relationship between the energy eigenstates of a d-dimensional hydrogen atom and those of a D-dimensional harmonic oscillator, which is important in application.

Keywords: 03.65.Fd 11.30.Na 02.20.+b

Published: 01 December 1994

PACS:	03.65.Fd	(Algebraic methods)
	11.30.Na	(Nonlinear and dynamical symmetries (spectrum-generating symmetries))
	02.20.+b

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1994/V11/I12/0724

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	ZENG Gaojian
	SU Kalin
	LI Min

Related articles from Frontiers Journals

[1]	LIAN Jin-Ling, ZHANG Yuan-Wei, LIANG Jiu-Qing. Macroscopic Quantum States and Quantum Phase Transition in the Dicke Model[J]. Chin. Phys. Lett., 2012, 29(6): 724-726
[2]	Hassanabadi Hassan, Yazarloo Bentol Hoda, LU Liang-Liang. Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 724-726
[3]	LIN Bing-Sheng, HENG Tai-Hua . Energy Spectra of the Harmonic Oscillator in a Generalized Noncommutative Phase Space of Arbitrary Dimension**[J]. Chin. Phys. Lett., 2011, 28(7): 724-726
[4]	ZHANG Min-Cang, HUANG-FU Guo-Qing . Analytical Approximation to the ℓ-Wave Solutions of the Hulthén Potential in Tridiagonal Representation**[J]. Chin. Phys. Lett., 2011, 28(5): 724-726
[5]	O. Bayrak, A. Soylu, I. Boztosun . Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues**[J]. Chin. Phys. Lett., 2011, 28(4): 724-726
[6]	ZHA Xin-Wei, MA Gang-Long . Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant**[J]. Chin. Phys. Lett., 2011, 28(2): 724-726
[7]	KE San-Min, , LI Xin-Ying, WANG Chun, YUE Rui-Hong . Classical Exchange Algebra of the Nonlinear Sigma Model on a Supercoset Target with ℤ_2n Grading**[J]. Chin. Phys. Lett., 2011, 28(10): 724-726
[8]	D. Agboola. Solutions to the Modified Pöschl-Teller Potential in D-Dimensions[J]. Chin. Phys. Lett., 2010, 27(4): 724-726
[9]	WANG Xue-Hong, LIU Yu-Bin. Realizing the Underlying Quantum Dynamical Algebra SU(2) in Morse Potential[J]. Chin. Phys. Lett., 2010, 27(2): 724-726
[10]	ZHANG Min-Cang, AN Bo . Analytical Solutions of the Manning-Rosen Potential In the Tridiagonal Program**[J]. Chin. Phys. Lett., 2010, 27(11): 724-726
[11]	Srinivasa Rao Karumuri. Vibrational Spectra of Distorted Structure Molecules by Using Lie Algebraic Techniques: an Application to Copper and Magnesium Octaethyl Porphyrin[J]. Chin. Phys. Lett., 2010, 27(10): 724-726
[12]	Srinivasa Rao KARUMURI, Joydeep CHOUDHURY, Nirmal Kumar SARKAR, Ramendu BHATTACHARJEE. Vibrational Spectroscopy of Stretching and Bending Modes of Nickel Tetraphenyl Porphyrin: an Algebraic Approach[J]. Chin. Phys. Lett., 2009, 26(9): 724-726
[13]	L. Krache, M. Maamache, Y. Saadi, A. Beniaiche. Generalized Coherent States of a Particle in a Time-Dependent Linear Potential[J]. Chin. Phys. Lett., 2009, 26(7): 724-726
[14]	Joydeep Choudhury, Nirmal Kumar Sarkar, Srinivasa Rao Karumuri, Ramendu Bhattacharjee. Vibrational Spectroscopy of CH/CD Stretches in Propadiene: An Algebraic Approach[J]. Chin. Phys. Lett., 2009, 26(2): 724-726
[15]	Eser Olgar. An Alternative Method for Calculating Bound-State of Energy Eigenvalues of Klein-Gordon for Quasi-exactly Solvable Potentials[J]. Chin. Phys. Lett., 2009, 26(2): 724-726

Viewed

Full text

Abstract