2002/12/31 by E. P. Nakhmedov, É. P. Nakhmedov, Klaus Morawetz +6
Mathematics · Physics and Astronomy · #Condensed matter physics #Correlation function (quantum field theory) #Electron #Function (biology) #Identical particles #Magnetic field #Mathematics #Maxima #Physics #Quantization (signal processing) #Quantum #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum mechanics #Theoretical and Computational Physics #cond-mat.mes-hall #cond-mat.str-el #nucl-th #physics.plasm-ph
paper · pdf · doi:10.1103/physrevb.67.205106
published as Phys.Rev. B67 (2003) 205106 · 8 pages 3 figures
openalex publication_date 2003/05/23 · arxiv created 2004/03/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The quantum mechanical problem of three identical particles, moving in a plane and interacting pairwise via a spring potential, is solved exactly in the presence of a magnetic field. Calculations of the pair-correlation function, mean distance, and the cluster area show a quantization of these parameters. Especially the pair-correlation function exhibits a certain number of maxima given by a quantum number. We obtain Jastrow prefactors that lead to an exchange-correlation hole of liquid type, even in the presence of the attractive interaction between the identical electrons.