A Krein quantization approach to Klein paradox

Farrin Payandeh; Toradj Mohammad; Mohsen Fathi; Zahra Gh

doi:10.1088/1674-1137/37/11/113103

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> 2013, Vol. 37> Issue(11) : 113103 DOI: 10.1088/1674-1137/37/11/113103

A Krein quantization approach to Klein paradox

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper we first introduce the famous Klein paradox. Afterwards by proposing the Krein quantization approach and taking the negative modes into account,we will show that the expected and exact current densities could be achieved without confronting any paradox.

References

[1]

Kaku M. Quantum Field Theory: A Modern Introduction. Oxford: Oxford University Press,1993[2] Dirac P A M. Proc. Roy. Soc.,1928,117: 612[3] Calogeracos A,Dombey N. Contemp. Phys.,1999,40: 313-321[4] Klein O. Zeitschrift für Physik,1929,53(3)[5] Dombey N,Calogeracos A. Physics Reports,1999,315(13): 41[6] Robinson T R. American Journal of Physics,2012,80(2): 141[7] Katsnelson M I,Novoselov K S,Geim A K. Nature Physics,2006,2(9): 620; arXiv: cond-mat/0604323[8] Pendry B J. Science,2007,315(5816): 1226[9] Payandeh F,Mehrafarin M,Takook M V. Sci. Chin. G: Phys. Mech. Astron.,2009,52: 212[10] Gazeau J-P,Renaud J,Takook M V. Class. Quant. Grav.,2000,17: 1415[11] Takook M V. Mod. Phys. Lett. A,2001,16: 1691[12] Rouhani S,Takook M V. Int. J. Theor. Phys.,2009,48: 2740[13] Payandeh F,Moghaddam Z Gh,Fathi M. Fortschr. Phys.,2012,60(9-10): 1086[14] Takook M V. Int. J. Mod. Phys. E,2002,11: 509[15] Rouhani S,Takook M V. arXiv: gr-qc/0607027[16] Payandeh F,Mehrafarin M,S. Rouhani S et al. Ukr. J. Phys. V,2008,53: N 12[17] Payandeh F. Rev. Cub. Fis.,2009,26(2B): 232[18] Garidi T,Huguet E,Renaud J. J. Phys. A,2005,38: 245[19] Dirac P A M. Bakerian Lecture Proc. Roy. Soc. Lond. A,1942,180: 1[20] Dirac P A M. Nobel Lecture,December 12,1933[21] Payandeh F. ISRN High Energy Phys.,2012,2012: 714823[22] Refaei A,Takook M V. Phys. Lett. B,2011,704: 326[23] Refaei A,Takook M V. Mod. Phys. Lett. A,2011,26: 31[24] Forghan B,Takook M V,Zarei A. Annals of Physics,2012,327: 2388

[1]	Li-Sheng Geng , Raquel Molina , Eulogio Oset . On the chiral covariant approach to ρρ scattering. Chinese Physics C, 2017, 41(12): 124101. doi: 10.1088/1674-1137/41/12/124101
[2]	S. Thirukkanesh , F. C. Ragel . Charged analogue of well behaved neutral spheres: an algorithmic approach. Chinese Physics C, 2016, 40(4): 045101. doi: 10.1088/1674-1137/40/4/045101
[3]	HUANG Xi-Ru , CAO Ping , GAO Li-Wei , ZHENG Jia-Jun . A data readout approach for physics experiments. Chinese Physics C, 2015, 39(7): 076102. doi: 10.1088/1674-1137/39/7/076102
[4]	LIANG Cui-Ying , DONG Yu-Bing . Deuteron form factors in a phenomenological approach. Chinese Physics C, 2015, 39(10): 104104. doi: 10.1088/1674-1137/39/10/104104
[5]	YANG Liu , ZHU Kai , ZHU Yong-Sheng , CAI Hao . Combining upper limits with a Bayesian approach. Chinese Physics C, 2015, 39(12): 123001. doi: 10.1088/1674-1137/39/12/123001
[6]	B. Forghan . Krein regularization of λφ³ theory. Chinese Physics C, 2015, 39(6): 063105. doi: 10.1088/1674-1137/39/6/063105
[7]	WANG Ping . New quantization conditions for field theory without divergence. Chinese Physics C, 2011, 35(3): 223-227. doi: 10.1088/1674-1137/35/3/003
[8]	WANG Fan , CHEN Xiang-Song , LU Xiao-Fu , SUN Wei-Min . Gauge invariance and quantization applied to atom and nucleon internal structure. Chinese Physics C, 2010, 34(9): 1312-1319. doi: 10.1088/1674-1137/34/9/031
[9]	SUN Bao-Hua , LI Jian . Shell evolution at N=20 in the constrained relativistic mean field approach. Chinese Physics C, 2008, 32(11): 882-885. doi: 10.1088/1674-1137/32/11/007
[10]	YANG Jin-Long , HUANG Yong-Chang . Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields. Chinese Physics C, 2008, 32(10): 788-792. doi: 10.1088/1674-1137/32/10/004
[11]	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
[12]	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.
[13]	Luo Chuanwang , Huang Tao , Guo Xingheng , Li Jinping , Lu Goungru . Model Dependence of the BSW Approach. Chinese Physics C, 1994, 18(S2): 151-166.
[14]	Wang Renchuan , Zhu Dongpei . Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(S4): 357-366.
[15]	LIU Qi , XU Jian-Jun , LI Xin-Zhou . AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY. Chinese Physics C, 1989, 13(11): 985-989.
[16]	Jing Sicong , and Ruan Tunan . Quantization of Pure Gauge Fields on Coset Space of Abelian Chiral Group. Chinese Physics C, 1988, 12(S4): 347-358.
[17]	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.
[18]	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.
[19]	Xu Kaiwen . Covariant and Quantization of Spinning String in M_d × G Space Time. Chinese Physics C, 1988, 12(S2): 143-152.
[20]	DAI An-Ying . LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS. Chinese Physics C, 1987, 11(5): 620-628.

Access

Get Citation

Farrin Payandeh, Toradj Mohammad, Mohsen Fathi and Zahra Gh. A Krein quantization approach to Klein paradox[J]. Chinese Physics C, 2013, 37(11): 113103. doi: 10.1088/1674-1137/37/11/113103

Farrin Payandeh, Toradj Mohammad, Mohsen Fathi and Zahra Gh. A Krein quantization approach to Klein paradox[J]. Chinese Physics C, 2013, 37(11): 113103. doi: 10.1088/1674-1137/37/11/113103 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-01-14
Revised: 2013-05-08

Article Metric

Article Views(1926)
PDF Downloads(294)
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

A Krein quantization approach to Klein paradox

Corresponding author: Farrin Payandeh,

Corresponding author: Mohsen Fathi,

Corresponding author: Zahra Gh,

Received Date: 2013-01-14
Accepted Date: 2013-05-08
Available Online: 2013-11-05

Abstract: In this paper we first introduce the famous Klein paradox. Afterwards by proposing the Krein quantization approach and taking the negative modes into account,we will show that the expected and exact current densities could be achieved without confronting any paradox.