Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State

NI Zhi-Xiang

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2001, Vol. 25> Issue(6) : 487-493

Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State

NI Zhi-Xiang ^,

Department of Physics,Fuyang Teachers College,Fuyang 236032, ChinaDepartment of Physics,Xuzhou Normal University,Xuzhou 221009,China

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the Hamiltonian of symmetrical one dimersional infinitely deep square well potential and natural operators,we obtain its nonlinear spectrum and generating algebra,and get a class of new nonlinear coherent states on the basis of the nonlinear algebra obfained. These coherent states are of temporal stability,and can be regarded as the eigenstates of the lower operator with the eigenvalues in an operator field and as the rotational states of the generalized minimal uncertainly states as well.

References

[1]

. Bender C M ,Boettcher S ,Jones H F et al.J.Phys.,1999,A3 2 :6771 2. NI Zhi-Xiang .High Energy Physics and Nuclear Physics,1999,23 :289(in Chinese)(倪致祥.高能物理与核物理,1999,23:289)3. Beckers J,Brihaye Y ,Debergh N . J.Phys.,1999,A3 2 :27914. NI Zhi-Xiang .Phys.Lett.,1997,A2 3 5:313 5. CHEN Jing-Ling ,LIU Yong,GE Mo-Lin .J .Phys.,1998,A31 :6473 6. Quesne C .J.Phys.,1999,A2 :6705 7. NI Zhi-Xiang .ActaPhysicaSinica,1999,8:8 8. NietoMM ,Jr Simmons L M .Phys.Rev.,1979,D20:1321 9. Perelomow A .Generalized Coherent States and Their Applications.Springer-Verlag ,Berlin:1986 10. Junke rG ,ROY P .Phys.Lett.,1999,A257:11311. Klauder J R.J.Phys.,1996,A29:L29312. HAN Qi-Zhi,SUN Hong-Zhou.Group Theory.Beijing University,1987,225(in Chinese)(韩其智,孙洪洲.群论.北京大学出版社,1987.225) 13. WANG Zhu-Xi,GUO Dun-Ren.An Introduction to Special Functions,Beijing:Science Press,1979.412 (in Chinese)(王竹溪. 郭敦仁.特殊函数概论,北京:科学出版社,1979.412) 14. NI Zhi-Xiang.Acta Physica Sinica,1998,7:183

[1]	LU Dao-Ming . Phase Properties of a New Kind of Even and Odd Nonlinear Coherent States. Chinese Physics C, 2006, 30(7): 603-605.
[2]	LI Jin-Hai , LU Jian-Qin . Nonlinear Analysis for the Electrostatic Analyzers With Lie Algebraic Methods. Chinese Physics C, 2005, 29(7): 695-699.
[3]	LI Jin-Hai , LU Jian-Qin . Nonlinear Analysis for the Wein Filter with Lie Algebraic Method. Chinese Physics C, 2004, 28(9): 998-1001.
[4]	LV Jian-Qin , LI Chao-Long , LI Jin-Hai . Lie Algebraic Analysis for the Nonlinear Transport of Intense Pulsed Beams in Electrostatic Lenses. Chinese Physics C, 2003, 27(1): 76-82.
[5]	LI Yong-Jun , WANG Lin , FENG Guang-Yao , XU Hong-Liang , LI Wei-Min , LIU Zu-Ping . Study of Insertion Device's Influence on Nonlinear Beam Dynamics in Electron Storage Ring Using Lie Algebra. Chinese Physics C, 2003, 27(9): 819-823.
[6]	LI Jin-Hai , LI Chao-Long , LU Jian-Qin . Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles. Chinese Physics C, 2003, 27(7): 645-648.
[7]	LV Jian-Qin . Nonlinear Optics of the Electrostatic Accelerator Tubes-Third Order Lie Map. Chinese Physics C, 2002, 26(4): 402-408.
[8]	XU JianMing . Nonlinear Effect in the Circular Mass Spectrometer. Chinese Physics C, 2000, 24(7): 667-675.
[9]	Liu Lianshou . New Progress in the Study of High Energy Non-Linear Phenomena. Chinese Physics C, 1999, 23(2): 165-175.
[10]	Liu Fang , Li Xiguo , Li Junqing , Luo Yixiao . Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential. Chinese Physics C, 1999, 23(11): 1108-1114.
[11]	Ni Zhixiang . Nonlinear Spectrum-Generating Algebra for the Symmetrical Pöschl-Teller Potential. Chinese Physics C, 1999, 23(3): 289-297.
[12]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[13]	Yu Zhaoxian , Liu Yehou , Li Qinglin , Liang Bifang . Study of SU(2)_q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,s Quantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[14]	Zhuang Pengfei , Liu Lianshou . Linear Background and Nonlinear Effect in Relativistic Heavy Ion Collisions. Chinese Physics C, 1994, 18(2): 143-147.
[15]	GAO Cheng-Qun , YANG Bao-Sheng , ZHOU Quan-Hua . On the Deep Optical Potential and the Parity-Dependent Effect between Heavy-Ions. Chinese Physics C, 1993, 17(7): 665-672.
[16]	KUANG Le-Man , ZENG Gao-Jian . Super-coherent State Representation of Lie Superalgebra B(0,1). Chinese Physics C, 1993, 17(3): 215-221.
[17]	YU Zu-Rong . The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.
[18]	GAO Xiao-Chun , XU Jing-Bo , YAN Ji-Jin , LI Wen-Zhu . Removability of the Topological Term in the O(3) Nonlinear σ-model. Chinese Physics C, 1991, 15(7): 591-597.
[19]	GAO Xiao-Chun , WANG Yong , XU Jing-Bo , LI Wen-Zhu . THE STUDY OF TOPOLOGICAL TERMS OF THE NONLINEAR SIGMA MODEL. Chinese Physics C, 1989, 13(6): 526-529.
[20]	LI XIN-ZHOU , GU MING-GAO , YIN PENG-CHENG . NONLINEAR SUPERFIELDS AND QUARK CONFINEMENT. Chinese Physics C, 1979, 3(6): 716-722.

Access

Get Citation

NI Zhi-Xiang. Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State[J]. Chinese Physics C, 2001, 25(6): 487-493.

NI Zhi-Xiang. Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State[J]. Chinese Physics C, 2001, 25(6): 487-493. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2000-06-15
Revised: 1900-01-01

Article Metric

Article Views(3082)
PDF Downloads(609)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State

NI Zhi-Xiang ^,

Corresponding author: NI Zhi-Xiang,

Department of Physics,Fuyang Teachers College,Fuyang 236032, ChinaDepartment of Physics,Xuzhou Normal University,Xuzhou 221009,China

Received Date: 2000-06-15
Accepted Date: 1900-01-01
Available Online: 2001-06-05

Abstract: Using the Hamiltonian of symmetrical one dimersional infinitely deep square well potential and natural operators,we obtain its nonlinear spectrum and generating algebra,and get a class of new nonlinear coherent states on the basis of the nonlinear algebra obfained. These coherent states are of temporal stability,and can be regarded as the eigenstates of the lower operator with the eigenvalues in an operator field and as the rotational states of the generalized minimal uncertainly states as well.