Electrostatics with Reflection Symmetry and Exact Solution of the Dunkl-Laplace Equation in Cylindrical Coordinates

Jang, Eun Ji; Park, Sucheol; Chung, Won Sang

doi:10.3938/jkps.68.379

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Electrostatics with Reflection Symmetry and Exact Solution of the Dunkl-Laplace Equation in Cylindrical Coordinates

Jang, Eun Ji;
Park, Sucheol;
Chung, Won Sang

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12

Citations

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13

초록

In this paper, electrostatics with reflection symmetry is considered. The Maxwell equation for electrostatics is obtained from deformation of the Maxwell tensor. The general solution of the two-dimensional Dunkl-Laplace equation in the polar coordinates is obtained. The general solution of the Dunkl-Laplace equation in three-dimensional cylindrical coordinates is also obtained.

키워드

Electrostatics; Reflection symmetry; Dunkl-Laplace equation; BODY CALOGERO PROBLEM; HARMONIC-OSCILLATOR; COULOMBS LAW; FOCK SPACE; POLYNOMIALS; OPERATORS; ALGEBRA; SYSTEMS; SPHERE

제목: Electrostatics with Reflection Symmetry and Exact Solution of the Dunkl-Laplace Equation in Cylindrical Coordinates

저자: Jang, Eun Ji; Park, Sucheol; Chung, Won Sang

DOI: 10.3938/jkps.68.379

발행일: 2016-02

유형: Article

저널명: Journal of the Korean Physical Society

권: 68

호: 3

페이지: 379 ~ 382