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16 March 2025
 
  » arxiv » 1508.0365

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Trapped electrons in the quantum degenerate regime
Ronen Kroeze ; Jom Luiten ; Servaas Kokkelmans ;
Date 3 Aug 2015
AbstractA full strength Coulomb interaction between trapped electrons can be felt only in absence of a neutralizing background. In order to study quantum degenerate electrons without such a background, an external trap is needed to compensate for the strong electronic repulsion. As a basic model for such a system, we study a trapped electron pair in a harmonic trap with an explicit inclusion of its Coulomb interaction. We find the eigenenergies of the system for any value of the trapping strength. The problem is solved either numerically or by using approximate methods. As function of the trapping strength a crossover can be made from the strongly to the weakly-coupled regime, and we show that in both regimes perturbative methods based on a pair-wise electron description would be effective for a many-particle trapped electron system.
Source arXiv, 1508.0365
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