DISCUSSIONS ON THE TRANSITION BETWEEN E4 SOLUTIONS AND M4 SOLUTIONS IN ENERGY BAND THEORY

WANG MING-ZHONG; ZHENG XI-TE; WANG KE-LIN; XIAN DING-CHANG; ZHANG ZHENG-GANG

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

DISCUSSIONS ON THE TRANSITION BETWEEN E₄ SOLUTIONS AND M₄ SOLUTIONS 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 E₄ and M₄ solutions. The energylevels of physical θ vacuums 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]	FU Zai-Wei , HENG Yue-Kun , QI Ming , HUANG Pin-Wen , ZHANG Huai-Jin , WANG Ji-Yang , JIA Ru , QIAN Sen , LI Shao-Li , CHEN Xiao-Hui , NING Zhe . Scintillating properties of LiYSiO₄:Ce. Chinese Physics C, 2011, 35(12): 1134-1138. doi: 10.1088/1674-1137/35/12/010
[3]	<SPAN lang=EN-US style= , , , , . Characteristics of a 4-fold segmented clover detectore. Chinese Physics C, 2009, 33(S1): 202-205. doi: 10.1088/1674-1137/33/S1/065
[4]	V.Bekhterev¹ , S.Bogomolov¹ , A.Efremov¹ , G.Gulbekian¹ , Yu.Kostyukhov¹ , A.Lebedev¹ , M.Leporis² , V.Loginov¹ , N.Yazvitsky¹ . Preliminary Tests of the DECRIS-4 Ion Source. Chinese Physics C, 2007, 31(S1): 108-110.
[5]	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.
[6]	YANG ZhanYing , ZHEN Yi . Construction on the Solution of osp(1｜4)Toda Model. Chinese Physics C, 2000, 24(6): 484-489.
[7]	Wu Chongshi , Zhou Zhining , Li Song . △I=4 Bifurcations in A～190 Superdeformed Bands. Chinese Physics C, 1996, 20(11): 1028-1033.
[8]	Wu Chongshi , Zhou Zhining , Li Song . △I/=4 Bifurcation in A~190 Superdeformed Bands. Chinese Physics C, 1996, 20(S4): 391-397.
[9]	Huang Weicheng , Ruan Dong . N=4 Supersymmetric Quantum Mechanics. Chinese Physics C, 1995, 19(9): 812-819.
[10]	Ni Zhixiang , Ma Tao . The Quantum Cosmology of 4+2D Dimensional Einstein Maxwell Theory. Chinese Physics C, 1994, 18(10): 911-918.
[11]	LI Qing-Run , ZHOU Jin-Li . Parameterized Full Amplitudes for Proton ⁴He Scattering in the Intermediate Energy Range. Chinese Physics C, 1993, 17(10): 918-924.
[12]	YANG Ya-Ping , YU Zu-Rong . Irreducible Representation of Quantum Algebra SU_q(4). Chinese Physics C, 1993, 17(5): 423-430.
[13]	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.
[14]	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.
[15]	WANG Zhen.WU Hua-Chuan , . A MICROSCOPIC STUDY OF THE E₄ PROPERTY OF DEFORMED EVEN-EVEN NUCLEI IN THE RARE EARTH REGION. Chinese Physics C, 1990, 14(7): 654-660.
[16]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.
[17]	WANG RU-LIN , PAN JI-ZHI , ZHANG YU-SHUN , WANG WEI-WEI . ORTHOGONAL UNITS OF SYMMETRY GROUP S₄. Chinese Physics C, 1982, 6(5): 588-594.
[18]	SUN HONG-ZHOU , HAN QI-ZHI . THE U(6/4) SUPERSYMMETRY IN COMPLEX NUCLEAR SPECTRA. Chinese Physics C, 1982, 6(4): 401-408.
[19]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.
[20]	ZHU WEI , LU JI-ZONG , ZHANG MIN-SHENG , YIN PENG-CHENG . A φ⁴-TYPE BAG MODEL OF HADRONS——THE “RUBBER BAG” MODEL（Ⅰ）——THEORY. Chinese Physics C, 1979, 3(1): 34-42.

Access

Get Citation

WANG MING-ZHONG, ZHENG XI-TE, WANG KE-LIN, XIAN DING-CHANG and ZHANG ZHENG-GANG. DISCUSSIONS ON THE TRANSITION BETWEEN E₄ SOLUTIONS AND M₄ SOLUTIONS 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(2139)
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 BETWEEN E₄ SOLUTIONS AND M₄ SOLUTIONS 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 point u=E. In this paper we give the equations satisfied in thevicinity of turning point by MPEP which connects E₄ and M₄ solutions. The energylevels of physical θ vacuums 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.