LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS

DAI An-Ying

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> 1987, Vol. 11> Issue(5) : 620-628

LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS

DAI An-Ying ^,

Institute of Industry of Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
In terms of the modified Sturm-Liouville theorem, the properties of the solutions to the Klein-Gordon equations with the potential tails is discussed and the corresponding Levinson's theorem is proved in this paper.

References

[1]

N. Levinson, K. Dan. Vidensk. Selsk. Mat-fys., Medd., No. 9(1949), 25.[2] R. G. Newton, Scatrering Theory of Waves and Porricles, 2nd ed. (Springer, New York, 1982) and the references therein.[3] XI.-C. Barthélémy, Ann. Inst. Henri Poincaré, A7(1967), 115; G. J. Ni, 高能物理与核物理, 3, (1979)449; Z. Q. Ma and G. J: Ni, Phys. Rev., D31(1985), 1482.[4] C. N. Yang, in Monopoles in Quantum Field Theory Proceedings of the Monopole Meeting, Trieste, Italy,1981, ed. by N. S. Craigie, P. Goddard and W. Nahm (World Scientific, Singapore, 1982), p. 237; Y.Kazama and C. N. Yang, phys; Rev., 15D(1977), 2300.[5] R. win ski, L. Rosenberg and L. Spruch, Phys. Rev., A31(1985), 1229; Phys. Rev. Lett., 54(1985), 1602;Phys. Rev., A33(1986), 946.[6] Z. Q. Ma, J. Math. Phys., 26(1985), 1995; Phys. Rev., D32(1985), 2203, 2213; D33(1986), 1745.[7] y. G. Liang and Z. Q. Ma, Phys. Rev., D34(1986), 565.[8] H. Snyder and J. Weinberg, Phys. Rev., 15(1940), 307; L. I. Schiff, H. Snyder and J. Weinberg., Phys.Rev., 15(1940), 315.

[1]	Farrin Payandeh , Toradj Mohammad , Mohsen Fathi , Zahra Gh . A Krein quantization approach to Klein paradox. Chinese Physics C, 2013, 37(11): 113103. doi: 10.1088/1674-1137/37/11/113103
[2]	WANG Jian-Hua , LI Kang , Dulat Sayipjamal , . Klein-Gordon oscillators in noncommutative phase space. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007
[3]	ZHANG Ai-Ping , QIANG Wen-Chao . Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[4]	HUANG Chao-Guang , GUO Han-Ying , WU Xiao-Ning . Noether Theorem and Black Hole's Mass Formula and Entropy. Chinese Physics C, 2003, 27(10): 879-883.
[5]	ZHOU Yun-Qing , YANG Fang , LI Jia-Rong . Distribution Functions in QGP Kinetic Equations under Relaxation Time Approximation. Chinese Physics C, 2003, 27(6): 515-520.
[6]	LI Jian-Feng , XU Hu-Shan , LI Wen-Fei , ZUO Wei , LI Jun-Qing , WANG Nan , ZHAO En-Guang . Potential Energy Surfaces for Nucleon Exchanging in Dinuclear Systems. Chinese Physics C, 2003, 27(1): 48-52.
[7]	Soojae Im , LI Zeng-Hua . Properties of the Neutron Mean Potential in the Neutron-Rich Nuclei. Chinese Physics C, 2003, 27(6): 507-510.
[8]	YAN Jun , TAO Bi-You . A Electric Sine-Gordon Soliton Solution in Two-Dimensional Dilaton Gravity Model. Chinese Physics C, 2003, 27(9): 767-769.
[9]	Medina Ablikim , Edward Corrigan . Boundary Reflection Factor of the Supersymmetric Sinh-Gordon Model. Chinese Physics C, 2002, 26(S1): 47-53.
[10]	LI Xi-Guo , Marcello Baldo , SONG Jian-Jun , LIU Fang . Diffusion Equations in Lie Group Manifold. Chinese Physics C, 2001, 25(1): 86-88.
[11]	Chen Xiangjun . Classical Transport Equation of Gluons in QGP. Chinese Physics C, 1997, 21(7): 597-603.
[12]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[13]	LIU Qi , XU Jian-Jun , LI Xin-Zhou . AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY. Chinese Physics C, 1989, 13(11): 985-989.
[14]	Zhang Guangyuan , Cai Weicheng , Li Xinzhou . Fermion Fields in Soliton Background of Six-dimensional Pure Kaiuza-Klein Theories. Chinese Physics C, 1988, 12(S2): 159-164.
[15]	ZHANG Guang-Yuan , CAI Wei-Cheng , LI Xin-Zhou . FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES. Chinese Physics C, 1988, 12(2): 281-285.
[16]	SU Jun-Chen , WU Shi-Shu . GORDON DECOMPOSITIONS FOR γ-TYPE MATRICES AND SOME OF THEIR APPLICATIONS. Chinese Physics C, 1987, 11(5): 644-652.
[17]	YAN Jun-Hu . EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
[18]	HUANG Nian-Ning . ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[19]	WU Yong-Shi , GE Mo-Lin . THE GEOMETRIC MEANING OF THE RICCATI EQUATION RELATED TO SINE-GORDON EQUATION. Chinese Physics C, 1983, 7(5): 560-564.
[20]	Ni Guang-jiong . THE LEVINSON THEOREM AND ITS GENERALIZATION IN RELATIVISTIC QUANTUM MECHANICS. Chinese Physics C, 1979, 3(4): 432-449.

Access

Get Citation

DAI An-Ying. LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS[J]. Chinese Physics C, 1987, 11(5): 620-628.

DAI An-Ying. LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS[J]. Chinese Physics C, 1987, 11(5): 620-628. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2446)
PDF Downloads(464)
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

LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS

DAI An-Ying ^,

Corresponding author: DAI An-Ying,

Institute of Industry of Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-10-05

Abstract: In terms of the modified Sturm-Liouville theorem, the properties of the solutions to the Klein-Gordon equations with the potential tails is discussed and the corresponding Levinson's theorem is proved in this paper.