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2014 | 12 | 7 | 511-516
Tytuł artykułu

A new method of calculation in the Fractional Quantum Hall Effect regime

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The electron-electron and electron-background interaction energies are calculated analytically for systems with up to N = 6 electrons. The method consists of describing the position vectors of electrons using complex coordinates and all the interaction energies with complex notation, whereby simplifications become possible. As is known, in this type of calculation, complicated expressions involving integrals over many variables are encountered and the trick of using complex coordinates greatly facilitates the exact calculation of various quantities. Contrary to previous analytical calculations, using complex coordinates avoids complicated trigonometric functions from appearing in the integrand, simplifying the exact evaluation of the integrals. The method we have used can be straightforwardly extended to larger systems with N > 6 electrons.
Wydawca
Czasopismo
Rocznik
Tom
12
Numer
7
Strony
511-516
Opis fizyczny
Daty
wydano
2014-07-01
online
2014-06-21
Twórcy
  • Laboratoire de Physique Théorique, Université de Tlemcen, B.P. 230, 13000, Tlemcen, Algeria , z_bentalha@yahoo.fr
  • Laboratoire de Physique Théorique, Université de Tlemcen, B.P. 230, 13000, Tlemcen, Algeria
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0476-5
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