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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
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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
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Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0476-5
Identifiers
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