グリーンの恒等式
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2024/06/24 01:34 UTC 版)
数学においてグリーンの恒等式(グリーンのこうとうしき、英: Green's identities)とは、ベクトル解析に現れる三つの恒等式のことを言う。グリーンの定理を発見した数学者のジョージ・グリーンの名にちなむ。
- ^ Strauss, Walter. Partial Differential Equations: An Introduction. Wiley
- ^ M. Fernández-Guasti. Complementary fields conservation equation derived from the scalar wave equation. J. Phys. A: Math. Gen., 37:4107–4121, 2004.
- ^ A. E. H. Love. The Integration of the Equations of Propagation of Electric Waves. Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, 197:pp. 1–45, 1901.
- ^ J. A. Stratton and L. J. Chu. Diffraction Theory of Electromagnetic Waves. Phys. Rev., 56(1):99–107, Jul 1939.
- ^ N. C. Bruce. Double scatter vector-wave Kirchhoff scattering from perfectly conducting surfaces with infinite slopes. Journal of Optics, 12(8):085701, 2010.
- ^ W. Franz, On the Theory of Diffraction. Proceedings of the Physical Society. Section A, 63(9):925, 1950.
- ^ Chen-To Tai. Kirchhoff theory: Scalar, vector, or dyadic? Antennas and Propagation, IEEE Transactions on, 20(1):114–115, jan 1972.
- ^ M. Fernández-Guasti. Green's second identity for vector fields. ISRN Mathematical Physics, 2012:7, 2012. Article ID: 973968. [1]
- グリーンの恒等式のページへのリンク