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Author Goldoni, G.; Peeters, F.M.
Title Wigner crystallization in quantum electron bilayers: erratum Type A1 Journal article
Year 1997 Publication Europhysics letters Abbreviated Journal Epl-Europhys Lett
Volume 38 Issue Pages 319
Keywords A1 Journal article; Condensed Matter Theory (CMT)
Abstract
Address
Corporate Author Thesis
Publisher Place of Publication Paris Editor
Language Wos A1997WY67300014 Publication Date 0000-00-00
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0295-5075 ISBN Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor 1.957 Times cited 7 Open Access
Notes Approved Most recent IF: 1.957; 1997 IF: 2.350
Call Number UA @ lucian @ c:irua:19296 Serial 3919
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Author Topalovic, D.B.; Arsoski, V.V.; Pavlovic, S.; Cukaric, N.A.; Tadic, M.Z.; Peeters, F.M.
Title On improving accuracy of finite-element solutions of the effective-mass Schrodinger equation for interdiffused quantum wells and quantum wires Type A1 Journal article
Year 2016 Publication Communications in theoretical physics Abbreviated Journal Commun Theor Phys
Volume 65 Issue 1 Pages 105-113
Keywords A1 Journal article; Condensed Matter Theory (CMT)
Abstract We use the Galerkin approach and the finite-element method to numerically solve the effective-mass Schrodinger equation. The accuracy of the solution is explored as it varies with the range of the numerical domain. The model potentials are those of interdiffused semiconductor quantum wells and axially symmetric quantum wires. Also, the model of a linear harmonic oscillator is considered for comparison reasons. It is demonstrated that the absolute error of the electron ground state energy level exhibits a minimum at a certain domain range, which is thus considered to be optimal. This range is found to depend on the number of mesh nodes N approximately as alpha(0) log(e)(alpha 1) (alpha N-2), where the values of the constants alpha(0), alpha(1), and alpha(2) are determined by fitting the numerical data. And the optimal range is found to be a weak function of the diffusion length. Moreover, it was demonstrated that a domain range adaptation to the optimal value leads to substantial improvement of accuracy of the solution of the Schrodinger equation.
Address
Corporate Author Thesis
Publisher Place of Publication Wallingford Editor
Language Wos Publication Date
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0253-6102; 1572-9494 ISBN Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor 0.989 Times cited Open Access
Notes Approved Most recent IF: 0.989
Call Number UA @ lucian @ c:irua:133213 Serial 4216
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