Modeling of Bound States of Quantum Systems in a Two-Dimensional Geometry of Atomic Traps

We present numerical modeling of bound states for two-particle quantum systems in twodimensional geometry of optical traps. We have investigated the dependence of bound states energies on the scattering length as well as the convergence of obtained numerical results to analytical solution from the work [Two Cold Atoms in a Harmonic Trap / T. Busch, B.-G. Englert, K. Rzazewski, M. Wilkens // Foundation of Physics. - 1998. - Vol. 28, No 4. - Pp. 549-559.] in zero-range approximation for the interatomic interaction.

modeling of the bound states, ultracold atoms, 2D geometry, optical traps