Berlin 2005 – scientific programme
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TT: Tiefe Temperaturen
TT 8: Posters Transport
TT 8.20: Poster
Friday, March 4, 2005, 14:00–18:00, Poster TU C
Exactly solvable model of three interacting particles in an external magnetic field — •K. Morawetz1,2, E. P. Nakhmedov1,2, M. Ameduri3, A. Yurtsever4, and C. Radehaus1 — 1Chemnitz University of Technology, 09107 Chemnitz, Germany — 2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany — 3Weill Cornell Medical College in Qatar, Qatar Foundation, Doha, Qatar — 4Azerbaijan Academy of Sciences, Institute of Physics, H. Cavid 33, 370143 Baku, Azerbaijan
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 pre-factors which lead to an exchange correlation hole of liquid type, even in the presence of the attractive interaction between the identical electrons.
[1] E. P. Nakhmedov, K. Morawetz, M. Ameduri, A. Yurtsever, C. Radehaus, Phys. Rev. B 67 (2003) 205106