Path Integral of the Angular Momentum Eigenstates Evolving Whitthe Parameter Linked With Rotation Angle Under the Space Rotation Transformation

Zhang Zhongcan; Hu Chenguo; Fang Zhenyun

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> 1998, Vol. 22> Issue(2) : 153-161

Path Integral of the Angular Momentum Eigenstates Evolving Whitthe Parameter Linked With Rotation Angle Under the Space Rotation Transformation

Department of Physics ,Chongqing University, Chongqing 630044

Abstract
HTML
Reference
Related

PDF

Abstract：
We study the method which directly adopts the azimuthal angles and the rotation angle of the axis to describe the evolving process of the angular momentum eigenstates under the space rotation transformation we obtain the angular momentum rotation and multi-rotation matrix elements ' path integral which evolves with the parameter λ(0→θ,θ the rotation angle), and establish the general method of treating the functional (path) integral as a normal multi-integrals.

References

[1]

Feynman R P, Hibbs A R Quantum Mechanics and Path Integrals. New York: Mcgraw-Hill Press, 1965. 21-43[2] Abers E S, Lee B W. Phys. Rep. C, 1973, 9 (1): 1-141[3] de Witt-Morette C, Maheshwari A, Nelson B. Phys. Rep. C, 1979, 50(5): 255-372[4] Marinov M S. Phys. Rep. C, 1980, 60(1): 1-57[5] Mclaughlin D W. J. Mathe. Phys., 1972, 13 (5): 1099-1 108[6] Mclaughlin D W. J. Math. Phys., 1972, 13 (4) 784-796[7] Callan C G, Coleman S. Phys. Rev. D, 1977, 16 (6): 1762-1768[8] Clark T E, Menikoff R, Sharp D H. Phys. Rev. D, 1980, 22 (12): 3012-3016[9] Caveau B, Schulman L S. J. Phys. A, 1986, 19 (8): 1833-1846[10] Farhi E, Gutmann S. AM. Phys., 1992, 213 (1): 182-203[11] Fwhi E, Gutmann S. IntJour. Mod. Phys. A, 1990, 5(15): 3029-3051[12] Carreau M, Farhi E, Gutmann S. Phys. Rev. D, 1990, 42 (4): 1194-1202[13] Zhang Z C, Li C S, Wei Y S. Commun. Theor. Phys., 1993, 20 (4): 461-470[14] Zhang Z C, Li C S, Wei Y S. Commun. Theor. Phys., 1994, 21 (2): 223-232[15] Karlin S, Taylor H M. A first Course in Stochastic Processes. New York: Academic Press(Second Edition),1975. 79-121[16] Wang Z X, Guo D R Introduction to Special Functions (in Chinese). Beijing: Academic Press, 1965. 440-443(王竹溪, 郭敦仁, 特殊函数概论。北京：科学出版社, 1965)

[1]	WANG Jian-Hua , LI Kang . Split Angular Momentum in Noncommutative Phase Space. Chinese Physics C, 2006, 30(11): 1053-1057.
[2]	XU Fu-Rong . High-Spin Excitations of Atomic Nuclei. Chinese Physics C, 2004, 28(S1): 11-15.
[3]	LI Wen-Wu , LIU Yan-Rui , HUANG Peng-Zhi , DENG Wei-Zhen , CHEN Xiao-Lin , ZHU Shi-Lin . Magnetic Moments of JP=3/2+ Pentaquarks. Chinese Physics C, 2004, 28(9): 918-926.
[4]	HAN Yong . Angular Momentum Projection of Cranked PNC Wave Function. Chinese Physics C, 2000, 24(6): 546-553.
[5]	Lin Hai , Liu Lianshou . Application of Wavelet Transformation in Analysis of Multiplicity Phase Space. Chinese Physics C, 1998, 22(6): 529-537.
[6]	Li Ziping . Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian. Chinese Physics C, 1997, 21(1): 34-43.
[7]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[8]	MIAO Yan-Gang . Path Integral Light-Cone Quantization of a Gauge Theory of Self-Dual Fields. Chinese Physics C, 1992, 16(7): 596-599.
[9]	ZHU Dong-Pei . Eigenmatrices of Dual Transformation and Its Application. Chinese Physics C, 1991, 15(1): 38-41.
[10]	LIAO Ji-Zhi . ELECTROMAGNETIC TRANSITIONS OF NUCLEI IN ANGULAR MOMENTUM PROJECTION HARTREE-FOCK METHOD. Chinese Physics C, 1989, 13(9): 837-841.
[11]	NI Guang-Jiong , WANG Rong-Tai , CHEN Su-Qing . THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD. Chinese Physics C, 1989, 13(2): 135-141.
[12]	FEI Shao-Ming , YU Yue . THE BKS DERNEL OF BOSONIC STRINGS AND PATH INTEGRAL. Chinese Physics C, 1989, 13(4): 334-338.
[13]	CHEN Ke-Liang , LIU Guo-Xing , ZHENG Ji-Wen , WANG Su-Fang , FAN Zhi-Guo . MEASUREMENTS OF ANGULAR MOMENTUM EFFECT OF FISSION BARRIER. Chinese Physics C, 1988, 12(5): 658-664.
[14]	LU Zhong-Dao . EXCITON STATE DENSITY WITH ANGULAR MOMENTUM. Chinese Physics C, 1988, 12(4): 548-553.
[15]	LIAO Ji-Zhi . APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1. Chinese Physics C, 1987, 11(5): 682-689.
[16]	MA Qian-Cheng , RUAN Tu-Nan . PATH INTEGRAL OF A SYMMETRY SYSTEM WITH CONSTRAINTS. Chinese Physics C, 1985, 9(2): 168-173.
[17]	ZHANG Jing-Ye . A MICROSCOPIC ANALYSIS OF THE DIFFERENCE IN ANGULAR MOMENTUM BETWEEN EXCITED AND GROUND BANDS. Chinese Physics C, 1984, 8(3): 346-351.
[18]	Gu JIN-NAN . i(ω) AND EFFECTIVE ROTATION-ALIGNMENT ANGULAR MOMENTUM J. Chinese Physics C, 1981, 5(4): 513-517.
[19]	Zhang Jing-ye . ON THE ANGULAR MOMENTUM DIFFERENCE i(ω) BETWEEN SUPER-BAND AND GROUND-BAND. Chinese Physics C, 1980, 4(3): 382-385.
[20]	LEE TZE-PING . ON CLASSICAL ANGULAR MOMENTUM OF AN ELECTRON-MAGNETIC MONOPOLE. Chinese Physics C, 1978, 2(4): 378-381.

Access

Get Citation

Zhang Zhongcan, Hu Chenguo and Fang Zhenyun. Path Integral of the Angular Momentum Eigenstates Evolving Whitthe Parameter Linked With Rotation Angle Under the Space Rotation Transformation[J]. Chinese Physics C, 1998, 22(2): 153-161.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2895)
PDF Downloads(545)
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

Path Integral of the Angular Momentum Eigenstates Evolving Whitthe Parameter Linked With Rotation Angle Under the Space Rotation Transformation

Corresponding author: Zhang Zhongcan,

Department of Physics ,Chongqing University, Chongqing 630044

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-02-05

Abstract: We study the method which directly adopts the azimuthal angles and the rotation angle of the axis to describe the evolving process of the angular momentum eigenstates under the space rotation transformation we obtain the angular momentum rotation and multi-rotation matrix elements ' path integral which evolves with the parameter λ(0→θ,θ the rotation angle), and establish the general method of treating the functional (path) integral as a normal multi-integrals.