Abstract
This article is in response to a reference to my work as a work in which the expression for the density of the charge induced by the point charge between two infinite plane-parallel plates is in the form of an infinite series. Indeed, in my article there were formulas that I obtained for the Green’s function, the surface density of the induced charge on plane-parallel plates written as infinite series. However, the article was devoted to the method of conformal transformation of the initial problem to a simpler one, which makes it possible to obtain analytical expressions for the mentioned quantities. In the present article, I would like to clarify the situation and outline the advantage of the conformal transformation method taking into account the axial symmetry of the problem as compared to solving the problem in the form of infinite series.
REFERENCES
Jinseong Son, Dongheyon Shin, and Chi-Ok Hwang, Sci. Rep. 13 (1) (2023).
V. V. Samedov, IEEE Trans. Nucl. Sci. 59, 3189 (2012).
J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1998).
V. V. Samedov, X-Ray Spectrom. 36, 158 (2007).
Ching Yao Fong and C. Kittel, Am. J. Phys. 35, 1091 (1967).
J. Pumplin, Am. J. Phys. 37, 737 (1969).
M. Zahn, Am. J. Phys. 44, 1132 (1976).
M. L. Glasser, Am. J. Phys. 38, 415 (1970).
J. Pleines and S. Mahajan, Am. J. Phys. 45, 868 (1977).
W. Koppenfels and F. Stallman, Practice of Conformal Mapping (Springer, Berlin, 1959).
M. A. Lavrent’ev and B. V. Shabat, Methods of Complex Analysis (Nauka, Moscow, 1973) [in Russian].
G. M. Fikhtengoltz, Course of Differential and Integral Calculus (Nauka, Moscow, 1970), Vol. 2 [in Russian].
Chi-Ok Hwang et al., IEEE Trans. Nucl. Sci. 66, 2153 (2019).
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Elsevier Academic, Amsterdam, 2007).
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The author of this work declares that he has no conflicts of interest.
Additional information
Translated by O. Pismenov
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Samedov, V.V. Point Charge between Two Plane-Parallel Metal Plates. Phys. Atom. Nuclei 86, 2634–2641 (2023). https://doi.org/10.1134/S1063778823100332
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778823100332