Vectorizing Green's identities. (5th May 2021)

• Record Type: Journal Article
• Authors: Yuffa, Alex J
• Is Part Of: Journal of physics communications. Volume 5:Number 5(2021)
• Publication Date: 2021-05-05
• Subjects: vector Green's identities -- vector Green's theorem -- George Green -- Kirchhoff formula -- Stratton-Chu formula; Physics -- Periodicals; 530.05
• DOI: 10.1088/2399-6528/abfa27
• Languages: English
• ISSNs: 2399-6528

Abstract

Abstract: Green's theorem and Green's identities are well-known and their uses span almost every branch of science and mathematics. In this paper, we derive a vector analogue of Green's three scalar identities and consider some of their uses. We also offer a number of historical tidbits in connection to the work of George Green.