Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

Refine search results

Journals help

  1. 1 Open Physics

Years help

  1. 1 2014

Authors help

  1. 1 Bentalha Z.

  2. 1 Moumen L.

  3. 1 Ouahrani T.

Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 1

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

Search:
in the keywords:  Quantum Hall effect
help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

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

100%
Bentalha Z., Moumen L., Ouahrani T.
Open Physics
|
2014
|
vol. 12
|
issue 7
511-516
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.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.