New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance

Medina Ablikim; HUANG Wei-Cheng

Chinese Physics C> 2002, Vol. 26> Issue(4) : 338-345

New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance

Medina Ablikim ^, ,
HUANG Wei-Cheng ^, ,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China2 Institute of Applied Chemistry, Xinjiang University, Urumqi 830046, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The new supercharges are constructed and the weight function is defined to study the N=2 one-dimensional supersymmetric quantum mechanics. Several examples are discussed in the new realization.

References

[1]

Witten E. Nucl, Phys., 1981. B188: 5132 Cooper F, Khare A, Sukhatme U. Phys. Rep., 1995, 251: 2673 HUANG W, Ablikim M. Journal of Xinjiang University (Natural Sciences Edition). 1998, 15(4): 15(in Chinese)(黄惟承. 麦迪娜·阿布力克木. 新疆大学学报, 自然科学版, 1998, 15(4): 15)4 Sukumar C V. J. Phys., 1985, A18: 575 HUANG W, Ablikim M, Journal of Xinjiang University(Natural Sciences Edition), 1995, 12(2): 62(in Chinese)(黄惟承, 麦迪娜·阿布力克木. 新I疆大学学报, 自然科学版, 1995, 12(2): 62)6 LIU H, HUANG W. Proceedings of the Second Annual Conference of Xinjiang Young Academics, Urumqi. 1995, 236(in Chinese)(刘红, 黄惟承, 新疆第二届青年学术会论文集. 乌鲁木齐, 1995. 263)7 Katayama N. Nuov. Cim., 1990, B105: 1138 Katayama N. Nuov. Cim., 1992, B107: 763

[1]	N.Borghini . Using the Anisotropic-Flow Harmonics v₂ and v₄ to Test Dynamical Descriptions of Ultrarelativistic Heavy-Ion Collisions. Chinese Physics C, 2007, 31(12): 1153-1156.
[2]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[3]	ZHANG Xin-Ming , ZHOU Huan-Qiang . Study for Superdeformed Bands in A～190 Region with Quantum Group U_qp(u₂) Model. Chinese Physics C, 2002, 26(8): 843-850.
[4]	ZHANG De-Xing , CAI Shao-Hong . Quantum Mechanical Model with Nonlocal Potential. Chinese Physics C, 2002, 26(9): 895-899.
[5]	Wang Deyun , Huang Bowen . Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance. Chinese Physics C, 1999, 23(11): 1078-1082.
[6]	Zhang xinming , Zhou Huanqiang , He Jinsong . Theoretical Analysis of an U_qp(u₂) Model for the Congruent Superdeformed rotational Bands. Chinese Physics C, 1998, 22(9): 803-811.
[7]	Hu Jingguo . Monte-Carlo Simulation on Asymmetric Lattices for SU(2) Gauge Field Thermodynamics. Chinese Physics C, 1997, 21(9): 801-805.
[8]	Huang Weicheng , Ruan Dong . N=4 Supersymmetric Quantum Mechanics. Chinese Physics C, 1995, 19(9): 812-819.
[9]	CHEN Yong-Qing . q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1). Chinese Physics C, 1993, 17(7): 631-635.
[10]	YU Zu-Rong . Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[11]	LI Fu-Bin . Construction of the Creation-Annihilation Operators for the Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics. Chinese Physics C, 1992, 16(6): 505-509.
[12]	DING Yi-Bing , ZHOU Lei , QIN Dan-Hua , ZHAO Guang-Da . Dipole Sum Rules in Quantum Mechanics and Electric Depole Transitions of ψ(3770). Chinese Physics C, 1991, 15(12): 1076-1085.
[13]	SUN Chang-Pu . HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE. Chinese Physics C, 1990, 14(7): 604-613.
[14]	BAO Cheng-Guang , . SOLVING THE QUANTUM MECHANIC 5-BODY PROBLEMS. Chinese Physics C, 1988, 12(2): 273-276.
[15]	GU Jin-Nan . THE R(π/2) INVARIANCE OF NUCLEI. Chinese Physics C, 1986, 10(2): 223-230.
[16]	DONG Fang-Xiao , DU Dong-Sheng , ZHOU Xian-Jian , XUE Pei-You . A COMMENT ON GAUGE SYMMETRY BREAKING OF N=2 SUSY GUTS. Chinese Physics C, 1984, 8(6): 781-784.
[17]	HUANG CHAO-SHANG . THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.
[18]	GAO YUAN-YI . TO ANALYSE THE PROPERTY SUPERBAND BY USING 2Δ. Chinese Physics C, 1981, 5(4): 508-512.
[19]	Ni Guang-jiong . THE LEVINSON THEOREM AND ITS GENERALIZATION IN RELATIVISTIC QUANTUM MECHANICS. Chinese Physics C, 1979, 3(4): 432-449.
[20]	DAI XIAN-XI , NI GUAN-JIONG . ON THE ELIMINATION OF PHASE ANGLE UNCERTAINTY IN SOME PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS. Chinese Physics C, 1978, 2(3): 225-235.

Access

Get Citation

Medina Ablikim, HUANG Wei-Cheng and New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance[J]. Chinese Physics C, 2002, 26(4): 338-345.

Medina Ablikim, HUANG Wei-Cheng and New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance[J]. Chinese Physics C, 2002, 26(4): 338-345. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-07-05
Revised: 1900-01-01

Article Metric

Article Views(3476)
PDF Downloads(461)
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

New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance

Medina Ablikim ^,
HUANG Wei-Cheng ^,

Corresponding author: Medina Ablikim,

Corresponding author: HUANG Wei-Cheng,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China2 Institute of Applied Chemistry, Xinjiang University, Urumqi 830046, China

Received Date: 2001-07-05
Accepted Date: 1900-01-01
Available Online: 2002-04-05

Abstract: The new supercharges are constructed and the weight function is defined to study the N=2 one-dimensional supersymmetric quantum mechanics. Several examples are discussed in the new realization.