Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance

Wang Deyun; Huang Bowen

Chinese Physics C> 1999, Vol. 23> Issue(11) : 1078-1082

Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance

Wang Deyun ^, ,
Huang Bowen

Physics Department Capital Normal University, Beijing 100037

Abstract
HTML
Reference
Related

PDF

Abstract：
This article solved energy eigenvalues and eigenfunction of Ring-shaped oscillator by using supersymmetry and shape invariance method. The present energy spectrum formulas are consistent with the exact solutions obtained with the Feynman path integral method

References

[1]	Quesne C. J. Phys., 1988, A21:3093 2 Victoria M. et al Phys Lett., 1989, A134(7):3953 Cooper F, Khare A, Sukhatme U. Phys. Rep., 1995, 251:3094 Dutt R, Khare A, Sukhatme U. Am. J. Phys., 1988, 56:166

[1]	ZHANG Shi-Sheng , ZHANG Wei , SUN Bao-Hua , GUO Jian-You , ZHOU Shan-Gui . Does Pseudo-Spin Symmetry Exist in the Continuum?. Chinese Physics C, 2006, 30(S2): 97-99.
[2]	JIA Wen-Zhi , WANG Shun-Jin . The Supersymmetry and Eigen Energy Spectrum of a Charged Dirac Particle in a Uniform Constant Magnetic Field. Chinese Physics C, 2006, 30(6): 530-536.
[3]	ZHANG Zhao , ZHAO Wei-Qin . Green Function Iterative Solution of Ground State Wave Function for Yukawa Potential. Chinese Physics C, 2003, 27(3): 215-222.
[4]	HUANG Bo-Wen . Supersymmetry of a Double Ring-Shaped Oscillator. Chinese Physics C, 2003, 27(9): 770-774.
[5]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[6]	Hou Yunzhi . Symmetry for Semileptonic Decays of B-Baryons. Chinese Physics C, 1994, 18(9): 836-841.
[7]	HU Zhan-Ning , HOU Bo-Yu . Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values. Chinese Physics C, 1992, 16(11): 978-990.
[8]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . An Investigation of G Pair Included Fermion Dynamical Symmetry Model for Medium and Heavy Mass Nuclei. Chinese Physics C, 1991, 15(7): 647-654.
[9]	LUO Yu-Bing , HU Shi-Ke . THE SYMMETRY BREAKING OF THE SUPERSTRING-INSPIRED MODEL. Chinese Physics C, 1990, 14(2): 118-125.
[10]	SUN Hong-Zhou , WANG Wei-Wei , ZHAO En-Guang , CHEN Sheng-Zhong . DYNAMICAL SUPERSYMMETRY U(36/24) IN LIGHT NUCLEI. Chinese Physics C, 1989, 13(3): 282-284.
[11]	HAO San-Ru , LI Wei . SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER. Chinese Physics C, 1989, 13(2): 120-127.
[12]	HAO San-Ru , LI Wei . INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL. Chinese Physics C, 1989, 13(4): 320-327.
[13]	YANG Bo-Jun . SYMMETRY OF THE ROTATION+VIBRATION SPECTRA FOR NUCLEAR MOLECULE ¹²C+¹²C. Chinese Physics C, 1986, 10(1): 98-103.
[14]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . U(6/20) SUPERSYMMETRY IN NUCLEI AND ITS Spin (6) LIMIT. Chinese Physics C, 1985, 9(3): 278-282.
[15]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . SU(3) LIMIT OF U(6/20) SUPERSYMMETRY IN NUCLEI. Chinese Physics C, 1985, 9(5): 542-545.
[16]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . U(5) LIMIT OF U(6/20) SUPERSYMMETRY IN NUCLEI. Chinese Physics C, 1985, 9(4): 405-411.
[17]	XU Gong-Ou . THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES. Chinese Physics C, 1984, 8(2): 207-214.
[18]	YANG Bo-Jun . SYMMETRY OF ROTATION-VIBRATION SPECTRA FOR NUCLEAR MOLECULE. Chinese Physics C, 1984, 8(4): 482-485.
[19]	LI YANG-GUO , WANG WEI-WEI , RUAN TU-NAN . SYMMETRICAL ANALYSIS OF ⁹Be AND ¹²C HYPERNUCLEI. Chinese Physics C, 1982, 6(1): 64-68.
[20]	ELEMENTARY PARTICLE THEORY GROUP DEPARTMENT OF PHYSICS PEKING UNIVERSITY . THE SYMMETRY OF STRATONS IN. Chinese Physics C, 1977, 1(1): 19-36.

Access

Get Citation

Wang Deyun and Huang Bowen. Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance[J]. Chinese Physics C, 1999, 23(11): 1078-1082.

Wang Deyun and Huang Bowen. Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance[J]. Chinese Physics C, 1999, 23(11): 1078-1082. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-09-14
Revised: 1900-01-01

Article Metric

Article Views(2865)
PDF Downloads(588)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance

Wang Deyun ^,
Huang Bowen

Corresponding author: Wang Deyun,

Physics Department Capital Normal University, Beijing 100037

Received Date: 1998-09-14
Accepted Date: 1900-01-01
Available Online: 1999-11-05

Abstract: This article solved energy eigenvalues and eigenfunction of Ring-shaped oscillator by using supersymmetry and shape invariance method. The present energy spectrum formulas are consistent with the exact solutions obtained with the Feynman path integral method