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Interacting electrons in quantum dots
Affiliation:1. L.P.M.C., Département de Physique, Faculté des Sciences de Tunis, Université Tunis El Manar, 2092 Tunis, Tunisie;1. Departamento de Fisica, Universidad de Antioquia, AA 1040, Medellin, Colombia;2. Instituto de Cibernetica, Matematica y Fisica, Calle E 309, Vedado, Ciudad Habana, Cuba;3. Department of Physics, University of Arkansas, Fayetteville, AR 72701, USA;4. International Atomic Energy Agency, Nuclear Data Section, Vienna A-1400, Austria;1. Department of Physics, Adam Mickiewicz University, ul. Umultowska 85, 61-614 Poznań, Poland;2. Institute of Molecular Physics, Polish Academy of Sciences, ul. Smoluchowskiego 17, 60-179 Poznań, Poland;1. Physics Department, Arnold Sommerfeld Center for Theoretical Physics and Center for Nano-Science, Ludwig-Maximilians Universität München, 80333 München, Germany;2. Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot 76100, Israel;1. Yozgat Faculty of Science and Literature, Erciyes University, Turkey;2. Faculty of Science and Literature, Physics Department, Selçuk University, 42075, Campus-Konya, Turkey
Abstract:The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to the ground-state energies are obtained. It is shown that our lower bounds agree well with the results of exact diagonalization. Analytic results for the lower bounds to the ground-state energies of the quantum dots in a strong magnetic field (known as electron molecule) agree very well with numerically calculated lower bounds.
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