Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials

Ma Tao; Ni Zhixiang

Chinese Physics C> 1999, Vol. 23> Issue(7) : 650-654

Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials

Ma Tao ^, ,
Ni Zhixiang

Physics Department, Fuyang Teachers College, Fuyang 236032

Abstract
HTML
Reference
Related

PDF

Abstract：
Using supersymmetric quantum mechanics, serveral new classes of condihonally exactly solvable potentials are constructed from the displaced non-harmonic oscillator potential. And the corresponding nonlinear spectrum-generating algebras are obtained.

References

[1]

Dutra A de S. Phys. Rev., 1993, A47: R2435–R2437.2 Junker G, Roy P. Phys. Lett., 1997, A232:155 3 M Z. Acta Physica Sinica (in Chinese), 1997, 46: 1687(倪致祥. 物理学报, 1997,46:1687) 4 Sukumar C V. J. Phys., 1985, A18:2917 5 Zhang J, Li X, Ni Z. Phys. Lett., 1996, A214: 107 6 Ni Z. Phys. Lett., 1997, A235:313

[1]	CAO Li-Ke , KE San-Min , YANG Tao , YUE Rui-Hong . Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions. Chinese Physics C, 2007, 31(1): 30-33.
[2]	WANG Jian-Hua , LI Kang , LIU Peng . Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space. Chinese Physics C, 2006, 30(5): 387-391.
[3]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-Scale Perturbation Theory of Generalized Anharmonic Oscillator. Chinese Physics C, 2006, 30(10): 944-949.
[4]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-scale Perturbation Theory of Sextic Anharmonic Oscillator. Chinese Physics C, 2006, 30(6): 513-516.
[5]	WANG Peng , WANG Shun-Jin . Analytic Exact Solution of One-Dimentional Nonautonomous Classical Harmonic Oscillator. Chinese Physics C, 2005, 29(7): 651-656.
[6]	WANG Zhong-Qing , ZHOU Ping , ZHU Lian-Xuan , DAI Hong-Ying . Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties. Chinese Physics C, 2004, 28(4): 365-369.
[7]	WANG Zhong-Qing . Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[8]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
[9]	WANG Zhong-Qing . Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator. Chinese Physics C, 2001, 25(11): 1044-1050.
[10]	WANG Ji-Suo , LIU Tang-Kun , ZHAN Ming-Sheng . Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2001, 25(1): 11-15.
[11]	WANG JiSuo , LIU TangKun , ZHAN MingSheng . Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[12]	Yang Jianjun , Li Guanglie , Huang Tao , Shen Hongqing . Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition. Chinese Physics C, 1999, 23(7): 665-680.
[13]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[14]	Chen Changyuan , Liu Youwen . Exact Solutions of Non-spherical Harmonic Oscillator Potential. Chinese Physics C, 1999, 23(9): 865-872.
[15]	Zhao Liu . Oscillator Algebra With Reflecting Boundary and Generalized Statistics. Chinese Physics C, 1997, 21(1): 25-33.
[16]	Hu Zhanning , Hou Boyu . The Integrability Condition of Three-Dimensional Exactly Solvable Model-Baxter-Bazhanov Model in Statistical Mechanics. Chinese Physics C, 1995, 19(2): 123-130.
[17]	YANG Xian-Jun , FAN Xi-Pei . State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential. Chinese Physics C, 1992, 16(5): 431-438.
[18]	DUAN Yi-Wu , WU Wei-Ping , BAO Cheng-Guang , AN Wei-Ke . The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems. Chinese Physics C, 1991, 15(1): 42-45.
[19]	ZHOU Yuan-Hai , JIANG De-Sun , QIAN Wen-Jia , GONG Xue-Hui . THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL. Chinese Physics C, 1987, 11(2): 202-207.
[20]	CHU CHUNG-YUAN AN ING , . A MODEL OF THE STRUCTURE OF MESONS WITH A COVARIANT OSCILLATOR POTENTIAL. Chinese Physics C, 1977, 1(1): 47-51.

Access

Get Citation

Ma Tao and Ni Zhixiang. Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials[J]. Chinese Physics C, 1999, 23(7): 650-654.

Ma Tao and Ni Zhixiang. Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials[J]. Chinese Physics C, 1999, 23(7): 650-654. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-05-15
Revised: 1900-01-01

Article Metric

Article Views(2516)
PDF Downloads(525)
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

Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials

Ma Tao ^,
Ni Zhixiang

Corresponding author: Ma Tao,

Physics Department, Fuyang Teachers College, Fuyang 236032

Received Date: 1998-05-15
Accepted Date: 1900-01-01
Available Online: 1999-07-05

Abstract: Using supersymmetric quantum mechanics, serveral new classes of condihonally exactly solvable potentials are constructed from the displaced non-harmonic oscillator potential. And the corresponding nonlinear spectrum-generating algebras are obtained.