Chinese Physics C > 1982, Vol. 6 > Issue(2): 142-153

DISCUSSIONS ON THE TRANSITION BETWEENE₄SOLUTIONS ANDM₄SOLUTIONS IN ENERGY BAND THEORY

Abstract
HTML
Reference
Related

PDF

Abstract：
The most probable escape path (MPEP) between vacuums, determined with WKBmethod, is expressed by different functions corresponding to the classical solutions offield equations in Euclidean space or in Minkowski Space while the potential U ishigher or lower than the energy E respectively. But the WKB method will not be validnearby the turning point u= E. In this paper we give the equations satisfied in thevicinity of turning point by MPEP which connects E ₄and M ₄solutions. The energylevels of physical θvacuums obtained in terms of periodic potential in winding numberspace are not equal to the energy of original vacuums. The MPEP and also the poten-tial depend on positions of energy levels. Conversly, the energy levels are determined bypotential. We explain how to account this selfconsistently.

References

[1]

Khalil M. Bitar, Shau-Jin Chang, Phys. Rev., D17(1978), 486.[2] C. Callan, R. Daehen, D. Gross, Phys. Lett., 63B(1976), 334.[3] 王滋等,1980年广州拉子物理理论会议上的报告.0[4] Khalil M. Bitar, Bhau-Jin Chang, Phys. Rev., D18(1978), 435.[5] A. S. Dauydov,"Qnantum- Mechanics ", Pergamon Press.[6] 雷日克,格拉德斯坦,“函数表与积分表”.1959年高等教育出版社.[7] V. De Alfaro, B. Fubini, G. Furlan, Phys. Lett., 72B(1977), 203[8] 吴泳时,1978年广州规范场会议述评报告汇编.

[1]	H. Garcilazo,A. Valcarce,J. Vijande. The_ΛΛ⁴n system. Chinese Physics C, 2017, 41(7): 074102.doi:10.1088/1674-1137/41/7/074102
[2]	MA Yin-Qun,TIAN Yuan,MA Zhong-Yu. Theoretical Study of $\bf ^2H(d,\bm\upgamma)^4He$ at Low Energies. Chinese Physics C, 2006, 30(12): 1242-1245.
[3]	SHI Guo-Fang,DENG Hui,XIONG Hua-Hui,SHI Kang-Jie. Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G. Chinese Physics C, 2004, 28(10): 1033-1039.
[4]	YANG ZhanYing,ZHEN Yi. Construction on the Solution of osp(1｜4)Toda Model. Chinese Physics C, 2000, 24(6): 484-489.
[5]	Wu Chongshi,Zhou Zhining,Li Song. △I/=4 Bifurcation inA~190 Superdeformed Bands. Chinese Physics C, 1996, 20(S4): 391-397.
[6]	Huang Weicheng,Ruan Dong. N=4 Supersymmetric Quantum Mechanics. Chinese Physics C, 1995, 19(9): 812-819.
[7]	Wang Jicheng,Zhao Jinhua,Guo Guanghui,Yang Yongfeng,Zhang Li. 4π△E_βDetector and Its Application to Researching Neutron-Rich Nuclides. Chinese Physics C, 1995, 19(7): 653-657.
[8]	LI Qing-Run,ZHOU Jin-Li. Parameterized Full Amplitudes for Proton⁴He Scattering in the Intermediate Energy Range. Chinese Physics C, 1993, 17(10): 918-924.
[9]	WANG Bao-Lin,RONG Zhong-Lin,WU Hua-Chuan. The Rotational Effects in E4 Transitions of Deformed Nuclei. Chinese Physics C, 1992, 16(2): 165-171.
[10]	KONG Fan-Xin,LUO Bin,LIU Xian-Hui. Dynamical Structure of A≤4 Λ Hypernuclei. Chinese Physics C, 1991, 15(6): 524-534.
[11]	LI Guang-Hua,SUN Hong-Zhou,HAN Qi-Zhi,LI Xian-Yin. The Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1991, 15(8): 742-747.
[12]	WANG Zhen.WU Hua-Chuan,. A MICROSCOPIC STUDY OF THE E₄PROPERTY OF DEFORMED EVEN-EVEN NUCLEI IN THE RARE EARTH REGION. Chinese Physics C, 1990, 14(7): 654-660.
[13]	LI Yuan-Jie. VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.
[14]	XU Bo-Wei. ONSO(4) SYMMETRY OF DYONS SYSTEM. Chinese Physics C, 1986, 10(2): 249-253.
[15]	WAN Ling-De,ZHANG Xin-Min,LU Gong-Ru,XUE Xiao-Zhou. A CONFININGSU(4)×SU(4) COMPOSITE MODEL OF THE WEAK INTERACTIONS. Chinese Physics C, 1986, 10(4): 420-426.
[16]	XU Gong-Ou,LI Fu-Li. THE PHASE TRANSITION IN THE TWO-LEVEL PAIRING FORCER(4) MODEL. Chinese Physics C, 1986, 10(2): 235-244.
[17]	SUN HONG-ZHOU,HAN QI-ZHI. THEU(6/4) SUPERSYMMETRY IN COMPLEX NUCLEAR SPECTRA. Chinese Physics C, 1982, 6(4): 401-408.
[18]	WU HUI-FANG,SHEN JIAN-PING,YU YOU-WEN,ZHANG ZONG-YE. THE ENERGY SPECTRA OF_Λ⁴He AND_Λ⁴H. Chinese Physics C, 1981, 5(6): 751-753.
[19]	ZHU WEI,LU JI-ZONG,ZHANG MIN-SHENG,YIN PENG-CHENG. Aφ⁴-TYPE BAG MODEL OF HADRONS——THE “RUBBER BAG” MODEL（Ⅰ）——THEORY. Chinese Physics C, 1979, 3(1): 34-42.
[20]	WANG KE-LIN,HSIEN TING-CHANG,CHENG HSI-THE. ON THESU(4) MONOPOLE AND DYON SOLUTIONS. Chinese Physics C, 1978, 2(5): 403-410.

Access

Get Citation

WANG MING-ZHONG, ZHENG XI-TE, WANG KE-LIN, XIAN DING-CHANG and ZHANG ZHENG-GANG. DISCUSSIONS ON THE TRANSITION BETWEEN E ₄SOLUTIONS AND M ₄SOLUTIONS IN ENERGY BAND THEORY[J]. Chinese Physics C, 1982, 6(2): 142-153.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1983-03-03
Revised: 1900-01-01

Article Metric

Article Views(3390)
PDF Downloads(292)
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

DISCUSSIONS ON THE TRANSITION BETWEENE₄SOLUTIONS ANDM₄SOLUTIONS IN ENERGY BAND THEORY

Received Date:1983-03-03
Accepted Date:1900-01-01
Available Online:1982-04-05

Abstract:The most probable escape path (MPEP) between vacuums, determined with WKBmethod, is expressed by different functions corresponding to the classical solutions offield equations in Euclidean space or in Minkowski Space while the potential U ishigher or lower than the energy E respectively. But the WKB method will not be validnearby the turning pointu=E. In this paper we give the equations satisfied in thevicinity of turning point by MPEP which connectsE₄andM₄solutions. The energylevels of physicalθvacuums obtained in terms of periodic potential in winding numberspace are not equal to the energy of original vacuums. The MPEP and also the poten-tial depend on positions of energy levels. Conversly, the energy levels are determined bypotential. We explain how to account this selfconsistently.

HTML

Reference (1)

Link: IOPScience; SCOAP³; arXiv; Chinese Physical Society

Journal information: Introduction; Editorial Board; Others; Subscribe

Contact us: QQ: 1307685413; Tel: +86-010-88235947; Fax: +86-010-88233126; E-mail: cpc@ihep.ac.cn

CPC Website
IOP Website
CPC WeChat

Supported by:Beijing Renhe Information Technology Co. Ltd E-mail:info@rhhz.net

DownLoad: Full-Size Img PowerPoint

Return

map

DISCUSSIONS ON THE TRANSITION BETWEENE₄SOLUTIONS ANDM₄SOLUTIONS IN ENERGY BAND THEORY

Abstract：

References

Access

Article Metrics

Metrics

通讯作者:陈斌, bchen63@163.com

Email This Article

DISCUSSIONS ON THE TRANSITION BETWEENE₄SOLUTIONS ANDM₄SOLUTIONS IN ENERGY BAND THEORY

HTML

目录

DISCUSSIONS ON THE TRANSITION BETWEENE4SOLUTIONS ANDM4SOLUTIONS IN ENERGY BAND THEORY

Abstract：

References

Access

Article Metrics

Metrics

通讯作者:陈斌, bchen63@163.com

Email This Article

DISCUSSIONS ON THE TRANSITION BETWEENE4SOLUTIONS ANDM4SOLUTIONS IN ENERGY BAND THEORY

HTML

目录

DISCUSSIONS ON THE TRANSITION BETWEENE₄SOLUTIONS ANDM₄SOLUTIONS IN ENERGY BAND THEORY

DISCUSSIONS ON THE TRANSITION BETWEENE₄SOLUTIONS ANDM₄SOLUTIONS IN ENERGY BAND THEORY