Electrostatics and Riemann surfaces

DOI10.1088/1361-6404/ABB4EFzbMath1527.78007arXiv2006.07149OpenAlexW3083386130MaRDI QIDQ6105731

Costas Efthimiou, Unnamed Author

Publication date: 9 June 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07149

zbMATH Keywords

Riemann surfaceselectric fieldstorusconformal mapsRiemann spherecomplex numbers

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal mappings of special domains (30C20) Complex multiplication and abelian varieties (14K22) Riemann surfaces; Weierstrass points; gap sequences (14H55) Elliptic functions and integrals (33E05) Electro- and magnetostatics (78A30) Physics, astronomy, technology, engineering (aspects of mathematics education) (97M50)

Cites Work

• Theta functions on Riemann surfaces
• Conformal transformations and the application of complex variables in mechanics and quantum mechanics
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
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