GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM

PENG SHOU-LI; ZHAO SHU-SONG

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> 1981, Vol. 5> Issue(1) : 47-54

GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM

Abstract
HTML
Reference
Related

PDF

Abstract：
An complex convolution method was introduced. Using this method the exact solutions of the three-dimensional electron shower equation in the non-homogeneous medium in which the density distribution function was continuous or finite discontinuous are obtained. These solutions included the approximation A and approximation B, the homogeneous and non-homogeneous medium case. Thus, the Nishimura-Kamata's classical results are extended.

References

[1]

J. Niahimura, Handbuch Der Phyaik, Vol. XLVI/2, p. 1-113, ed. by A, aitte, Springer-verlag, 1967[2] H. S. Green et al., P. R., 88 (1952), 331;V. V. Guzhavin et al., Proc. 12th ICRC (1971), EAS-23.[3] V. A. Astafiev, Proc. 15th ICRC (1977), EA8-448.[4」钾晓夫等,东京大学宇宙线实验预印本,CR.L Report-86-76-3.[5] H. Oda et al., P. T. P., 54 (1975), 1720.[6] 贾桂斌、彭守礼、赵树松,"非均匀介质中电磁级联传播的物理修正效应"(未发表).[7] 彭守礼、赵树松,三维电磁级联的Moliexe近似方程的精确解析解(内部报告).[8] 彭守礼、贾桂斌、赵树松、屈超纯,全国第一届宇宙线超高能物理会议文集,1集(1978), 86.[9] В. В. Гужавин, И. П. Иваненко, ЖЗТФ. 40 (1961), 1682.[10] M. Dishon, G. H. Weiss, J. Conaputa Phys.,28(1978), 129.

[1]	MA Tian-Yu , JIN Yong-Jie . Analytical System Modeling Method for SPECT Based on the Boltzmann Transport Equation. Chinese Physics C, 2006, 30(8): 806-811.
[2]	CHEN Wei , LIU Liang-Gang . The Equation of State of Neutron Star Matter in Uniform Strong Magnetic Fields. Chinese Physics C, 2005, 29(2): 119-123.
[3]	WANG Peng , WANG Shun-Jin . Analytic Exact Solution of One-Dimentional Nonautonomous Classical Harmonic Oscillator. Chinese Physics C, 2005, 29(7): 651-656.
[4]	LI Zu-Hao , CHEN Guo-Ming , CHEN Gang , YANG Chang-Gen , YANG Min , WANG Xiao-Bin , ZHANG Shao-He , YANG Zhao-Yu , LU Yu-Sheng , CHEN He-Sheng . Longitudinal Leakage Correction of Uniformly Sampling Electromagnetic Calorimeter. Chinese Physics C, 2004, 28(11): 1188-1192.
[5]	ZHANG Shi-Sheng , MENG Jie , GUO Jian-You . Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations. Chinese Physics C, 2003, 27(12): 1095-1099.
[6]	ZHOU Li-Juan , HU Zhao-Hui , MA Wei-Xing . Nucleon Electromagnetic Form Factors in Non-Topological Soliton Model. Chinese Physics C, 2003, 27(2): 127-129.
[7]	ZHAO Wei-Qin , JV Chang-Sheng . Analytic Solution of Ground State for Coulomb Plus Linear Potential. Chinese Physics C, 2002, 26(4): 299-304.
[8]	FENG Sheng-Qin , LIU Feng , LIU Lian-Shou . Thermal Freeze-Out and Longitudinally Non-uniform Collective Expansion Flow in Relativistic Heavy Ion Collisions. Chinese Physics C, 2002, 26(12): 1277-1284.
[9]	SHAO Ming , XU Tong , LIU Ming-Chang , WANG Cong-Rong , RUAN Li-Juan , CHEN Hong-Fang , PAN Xiao-Hui , WANG Cong-Zhou . Study on the Light Output Non-uniformity of PbWO₄ Crystal. Chinese Physics C, 2001, 25(6): 555-560.
[10]	Zheng Xiaoping , Li Jiarong . Nonlinear Response Equation of Non-Abelian Medium to EXternal Source. Chinese Physics C, 1998, 22(11): 1004-1012.
[11]	Ge Lingxiao , Zeng Xianghua . In Medium Nucleon-Nucleon Cross Section at Nonrelativistic Energy Region. Chinese Physics C, 1995, 19(10): 921-928.
[12]	YAN Jun , TAO Bi-You , HU Shi-Ke . The Non-Abelian Wormholes Solutions in Baby Universe Model. Chinese Physics C, 1993, 17(7): 605-613.
[13]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[14]	SUN Chang-Pu . SOLAR-NEUTRINO OSCILLATIONS IN MATTER WITH VARYING DENSITY. Chinese Physics C, 1989, 13(5): 403-410.
[15]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[16]	JING Gui-Ru , JING Cai-Liu , ZHU Qing-Qi , DING Lin-Kai . FEATURES OF ATMOSPHERIC ELECTROMAGNETIC CASCADES PRODUCED AT LOW HEIGHTS. Chinese Physics C, 1986, 10(3): 257-264.
[17]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[18]	YAN Jun-Hu . EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
[19]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.
[20]	Zhong Ji-quan . A CORRELATIVE TREATMENT OF DYNAMICS AND DIFFUSION EQUATIONS IN DEEP INELASTIC COLLISIONS. Chinese Physics C, 1980, 4(6): 744-751.

Access

Get Citation

PENG SHOU-LI and ZHAO SHU-SONG. GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM[J]. Chinese Physics C, 1981, 5(1): 47-54.

PENG SHOU-LI and ZHAO SHU-SONG. GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM[J]. Chinese Physics C, 1981, 5(1): 47-54. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-11-27
Revised: 1900-01-01

Article Metric

Article Views(1599)
PDF Downloads(269)
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

GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM

PENG SHOU-LI
ZHAO SHU-SONG

Received Date: 1979-11-27
Accepted Date: 1900-01-01
Available Online: 1981-05-05

Abstract: An complex convolution method was introduced. Using this method the exact solutions of the three-dimensional electron shower equation in the non-homogeneous medium in which the density distribution function was continuous or finite discontinuous are obtained. These solutions included the approximation A and approximation B, the homogeneous and non-homogeneous medium case. Thus, the Nishimura-Kamata's classical results are extended.