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Number of results

Journal

2014 | 12 | 7 | 511-516

Article title

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

Content

Title variants

Languages of publication

EN

Abstracts

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.

Publisher

Journal

Year

Volume

12

Issue

7

Pages

511-516

Physical description

Dates

published
1 - 7 - 2014
online
21 - 6 - 2014

Contributors

author
  • Laboratoire de Physique Théorique, Université de Tlemcen, B.P. 230, 13000, Tlemcen, Algeria
author
  • Laboratoire de Physique Théorique, Université de Tlemcen, B.P. 230, 13000, Tlemcen, Algeria

References

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-014-0476-5
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