Correlated two-particle scattering on finite cavities

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Derivation shortened and corrected, 14 pages 10 figures

Scientific paper

10.1103/PhysRevB.72.014301

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. The two-particle bound state behavior is discussed and the influence of the cavity on the binding properties is calculated.

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