THE HERMITICITY OF RELATIVISTIC EQUAL-TIME EQUATION

WEI Hua; YIN Hong-Jun; RUAN Tu-Nan

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> 1985, Vol. 9> Issue(6) : 687-696

THE HERMITICITY OF RELATIVISTIC EQUAL-TIME EQUATION

Abstract
HTML
Reference
Related

PDF

Abstract：
The differences of physical properties between several time-displacement operators are analyzed systematically. By using the Feynman propagator, a new time-displacement operator is reasonably constructed, with which the Hermite potential of relativistic equaltime equation is derived. Consequently, this equation is turned into a relativistic Schrödinger equation, in which the Hamiltonian is a Hermitian differentio-integral operator. Furthermore, the equaltime potential of minimum electro-magnetic coupling in first order is calculated. When the mass ratio of one particle to the other tends to infinity, the equation reduces to Dirac equation naturally.

References

[1]

Nakanishi, N, Suppl. Prog. Theor. Phys, 43(1969), 1.[2] Hayashi, C., Munakata, Y., Prog. Theor. Phys.,7(1952), 481. Salpeter, E. E., Phys. Rev., 87(1952) ,328.[3] Dirac, P. A. M., Fock, V. A., Podolsky, B, Phys. Zeitz. Sowj., 2(1932), 468.[4] 阮图南, 朱熙泉, 何柞麻, 庆承端, 赵维勤, 高能物理与核物理, 5(1981), 393, 537.[5] 阮图南, 何柞麻, 黄涛, 高能物理与核物理, 3(1979), 272.[6] 卢里, D. ,粒子和场, 科学出版社, 1981, p. 386-393.[7] Feynman, R. P., Phys. Rev., 76(1949 ) , 749,769.[8] Schwinger, J., Phys. Rev., 74 (1948), 3.439.[9] Ruan Tu-nan, Ho Tso-hsiu, Proceedings of the 1980 Guangzhou Conference on Theoretical Particle Physics. p. 362[10] 卫华, 阮图南, 西北大学学报, 自然科学版, 1984, 待发表.

[1]	SA Ben-Hao , WANG Zhong-Qi , SU Zong-Di , LU Zhong-Dao , ZHOU Dai-Mei . Φ Meson Production and String Fragmentation Function in Relativistic Nucleus-Nucleus Collisions. Chinese Physics C, 2003, 27(2): 147-149.
[2]	SA Ben-Hao , WANG Xiao-Rong , LU Zhong-Dao , SU Zong-Di , CAI Xu . Enhancement of φ Mesons in Relativistic Nucleus-Nucleus Collisions. Chinese Physics C, 2002, 26(4): 387-392.
[3]	Wang Shuhua , Zhou Zuoxu , Chai Zhengwei . Improvement on Momentum Distribution Formula of Relativistic Heavy Ion Fragments. Chinese Physics C, 1998, 22(2): 106-110.
[4]	Wang Zhengxing , Zhao Qiang , Tang Ping . Glauber Theory on Transverse Energy Distributions in Ultra-Relatidstic Heavy Ion Collisions. Chinese Physics C, 1996, 20(3): 234-239.
[5]	Sa Benhao , Tai An , Lu Zhongdao . Strange Baryon and the Signal of QGP Formation in Ultrarelativistic Nucleus-Nucleus Collisions. Chinese Physics C, 1995, 19(11): 1019-1023.
[6]	Liu Fuhu , Tang Xiaowei . Multiplicity and Angular Distribution of Projectile Fragments in Relativistic Nucleus-Nucleus Collisions. Chinese Physics C, 1994, 18(4): 334-339.
[7]	Wang Zhongqi , Sa Benhao , Song Guang , Lu Zhongdao , Zhang Xiaoze , Zheng Yuming . Hadronic Transport Model Explanation of K⁺/π⁺ Ratio in Relativistic Nucleus-nucleus Collisions. Chinese Physics C, 1994, 18(8): 741-744.
[8]	Bian Jianguo , Huang Tao . Pseudo-Scalar Meson Solutions of the Equal-Time Equation IN QCD. Chinese Physics C, 1994, 18(2): 127-136.
[9]	QIAN Lu . Distribution in Ultrarelativistic Nuclear Collisions. Chinese Physics C, 1991, 15(10): 906-912.
[10]	JIANG De-Bao , HE Ze-Jun . Evolution of Strangeness in an Expanding Quark-Gluon Plasma Formed by Ultrarelativistic Nucleus-Collisions. Chinese Physics C, 1991, 15(5): 450-456.
[11]	ZHU Yun-Lun , ZHAO Wei-Qin , GAO Chong-Shou . Effect of Secondary Collisions on the K⁺/π⁺ Ratio in RHIC. Chinese Physics C, 1991, 15(7): 606-614.
[12]	LI Yang-Guo . RELATIVISTIC STUDY OF PROTON-NUCLEUS ELASTIC SCATTERING AT LOWER ENERGIES. Chinese Physics C, 1989, 13(2): 148-155.
[13]	TANG Xiao-Wei , ZHENG Pu-Ying . OBSERVATION AND MEASUREMENT OF A FRAGMENTALTION EVENT OF A RELATIVISTIC OXYGEN NUCLEUS AND EXPLANATION OF THE MECHANISM. Chinese Physics C, 1988, 12(4): 455-458.
[14]	LIU Bao-Hua , LI Jia-Rong . SELF-CONSISTENCY EQUATIONS FOR THE ORDER PARAMENTER AND THE RESTORATION OF THE CHIRAL SYMMETRY. Chinese Physics C, 1988, 12(4): 471-476.
[15]	XU Gong-Ou . DYNAMIC DESCRIPTION OF THE NON-HERMITIAN MEAN PIELD ILLUSTRATED WITH A SCHEMATIC MODEL. Chinese Physics C, 1988, 12(2): 252-256.
[16]	SHI Jian-Min . INTEGRABILITY PROPERTY AND GEOMETRIC INTERPRETATION OF CYLINDRICAL EINSTEIN-EQUATION. Chinese Physics C, 1987, 11(2): 167-174.
[17]	LI Yang-Guo . RELATIVISTIC STUDY OF PROTON-NUCLEUS ELASTIC SCATTERING. Chinese Physics C, 1987, 11(2): 208-217.
[18]	WEI Hua , RUAN Tu-Nan . GREEN FUNCTION FOR RELATIVISTIC SCHRÖDINGER EQUATION. Chinese Physics C, 1986, 10(6): 656-665.
[19]	SONG XIAO-TONG , CHING CHENG-RUI . THE COULOMB DISINTEGRATION CROSS-SECTIONS AND DECAY RATE OF THE RELATIVISTIC ELECTROMAGNETIC BOUND STATES (π^±μ^干) AND (K^±μ^干). Chinese Physics C, 1982, 6(4): 394-400.
[20]	RUAN TU-NAN , ZHU XI-QUAN , HE ZUO-XIU , QING CHENG-RUI , ZHAO WEI-QIN . RELATIVISTIC EQUAL-TIME EQUATION (Ⅰ). Chinese Physics C, 1981, 5(4): 393-404.

Access

Get Citation

WEI Hua, YIN Hong-Jun and RUAN Tu-Nan. THE HERMITICITY OF RELATIVISTIC EQUAL-TIME EQUATION[J]. Chinese Physics C, 1985, 9(6): 687-696.

WEI Hua, YIN Hong-Jun and RUAN Tu-Nan. THE HERMITICITY OF RELATIVISTIC EQUAL-TIME EQUATION[J]. Chinese Physics C, 1985, 9(6): 687-696. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2390)
PDF Downloads(357)
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

THE HERMITICITY OF RELATIVISTIC EQUAL-TIME EQUATION

Corresponding author: WEI Hua,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-12-05

Abstract: The differences of physical properties between several time-displacement operators are analyzed systematically. By using the Feynman propagator, a new time-displacement operator is reasonably constructed, with which the Hermite potential of relativistic equaltime equation is derived. Consequently, this equation is turned into a relativistic Schrödinger equation, in which the Hamiltonian is a Hermitian differentio-integral operator. Furthermore, the equaltime potential of minimum electro-magnetic coupling in first order is calculated. When the mass ratio of one particle to the other tends to infinity, the equation reduces to Dirac equation naturally.