Issues

 / 

2006

 / 

May

  



The interaction energy of electric multipoles in a plane and a point-multipole approximation for the electric field of conductors

 a, ,
a Department of Physics, Krasnoyarsk State University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russian Federation

A complex representation of the electric potential is applied to derive relationships describing the interaction energy of electric multipoles in a plane, which prove to be highly useful for variational calculations of the electric field in a system of parallel circular conductors.

Fulltext pdf (137 KB)
Fulltext is also available at DOI: 10.1070/PU2006v049n05ABEH005844
PACS: 03.50.De, 41.20.Cv (all)
DOI: 10.1070/PU2006v049n05ABEH005844
URL: https://ufn.ru/en/articles/2006/5/d/
000240400900004
2-s2.0-33748529931
2006PhyU...49..517K
Citation: Kazantsev V P, Zolotov O A, Dolgopolova M V "The interaction energy of electric multipoles in a plane and a point-multipole approximation for the electric field of conductors" Phys. Usp. 49 517–522 (2006)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Казанцев В П, Золотов О А, Долгополова М В «Энергия взаимодействия электрических мультиполей на плоскости и аппроксимация электрического поля проводников полями точечных мультиполей» УФН 176 537–542 (2006); DOI: 10.3367/UFNr.0176.200605e.0537

References (9) ↓ Cited by (3)

  1. Landau L D, Lifshits E M Teoriya Polya (M.: Nauka, 1973)
  2. Dzhekson Dzh Klassicheskaya Elektrodinamika (M.: Mir, 1965)
  3. Batygin V V, Toptygin I N Sbornik Zadach Po Elektrodinamike (M.: Nauka, 1970)
  4. Kazantsev V P Dokl. Ross. Akad. Nauk 361 469 (1998)
  5. Kazantsev V P, Lysenko E A Izv. Vuzov. Ser. Fiz. 38 (2) 30 (1995)
  6. Lavrent’ev M A, Shabat B V Metody Teorii Funktsii Kompleksnogo Peremennogo 3-e izd. (M.: Nauka, 1965)
  7. Polia G, Sege G Izoperimetricheskie Neravenstva v Matematicheskoi Fizike (M.: Fizmatgiz, 1962)
  8. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982)
  9. Kazantsev V P "Ponyatie o vysshikh polyarizuemostyakh uedinennykh poluprovodnikov v ploskikh zadachakh elektrostatiki" Dep. v VINITI 242 2291-B96 (Krasnoyarsk, 1996)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions