Berlin 2005 – wissenschaftliches Programm
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TT: Tiefe Temperaturen
TT 34: Correlated Electrons - Quantum Impurities, Kondo Physics
TT 34.6: Vortrag
Mittwoch, 9. März 2005, 11:00–11:15, TU H104
Quantum two-particle problem in finite systems — •B. Schmidt1, K. Morawetz1,2, M. Schreiber1, A. Ficker1, and P. Lipavský3 — 1Istitute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany — 2Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany — 3Institute of Physics, Academy of Sciences, Cukrovarnická 10, 16200 Praha 6, Czech Republic
The correlated two-particle problem is solved analytically in the presence of a finite cavity. The method is demonstrated here in terms of exactly solvable models for both the cavity as well as the two-particle correlation where the two-particle potential is chosen in separable form. The two-particle phase shift is calculated and compared to the single-particle one. We find a Fano resonance behavior due to the interference of single- and two-particle channels. The two-particle bound state behavior is discussed and the influence of the cavity on the binding properties is calculated.
[1] K. Morawetz, M. Schreiber, B. Schmidt, A. Ficker, P. Lipavský, Phys. Rev. B submitted, cond-mat/0409325