TY  - JOUR
A1  - Rzazewski, Kazimierz
A1  - Goral, K.
A1  - Cirone, M. A.
A1  - Wilkens, Martin
T1  - Bose-Einstein Condensation of two interacting particles
N2  - We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properies and the characteristics temperature are computed exactly in the soluble models of two interacting atoms.
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Idziaszek, Zbigniew
A1  - Gajda, M.
A1  - Navez, Patrick
A1  - Wilkens, Martin
A1  - Rzazewski, Kazimierz
T1  - Fluctuation of the Weakly Interacting Bose-Einstein Condensate
N2  - We consider the role of weak interaction on the fluctuations of the number of condensed atoms within canonical and microanonical ensembles. Unlike the correspinding case of the ideal gas this is not a clean, well-defined problem of mathematical physics. Two related reasons are the following: there is no unique way of defining the condensate fraction of the interacting system and no exact energy levels of the interacting system are known.
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Busch, Thomas
A1  - Englert, Bertold-Georg
A1  - Rzazewski, Kazimierz
A1  - Wilkens, Martin
T1  - Two cold atoms in a harmonic trap
N2  - Two ultracold atoms moving in a trap interact weakly at a very short distance. This interaction can be modeled by a properly regularized contact potential. We solve the corresponding time-independent Schrödinger equation under the assumption of a parabolic, spherically symmetric trapping potential.
Y1  - 1998
ER  -