The Electrostatic Potential of Periodic Crystals

DOI10.1137/19M1265697zbMath1470.40010OpenAlexW3139017725MaRDI QIDQ5855630

L. Ridgway Scott, Jeffrey Rauch

Publication date: 19 March 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1265697

zbMATH Keywords

electrostatic potentialEwald summationAbel summationcharge group summationferro electric

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Approximation to limiting values (summation of series, etc.) (40A25) Numerical summation of series (65B10) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Basic methods in statistical mechanics (82M99)

Related Items (1)

The Charge-Group Summation Method for Electrostatics of Periodic Crystals

Cites Work

• Convergence of lattice sums and Madelung’s constant
• Convergence of Madelung-like lattice sums
• New Representations for the Madelung Constant
• The Charge-Group Summation Method for Electrostatics of Periodic Crystals
• Über die Konvergenz der Reihen Epsteinscher Zetafunktionen. Erhard Schmidt zum, 75. Geburtstag.
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