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

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Abstract


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.

O A Koval

Joint Institute for Nuclear Research

Email: kov.oksana20@gmail.com
The Bogoliubov Laboratory of Theoretical Physics

E A Koval

Joint Institute for Nuclear Research

Email: e-cov@yandex.ru
The Bogoliubov Laboratory of Theoretical Physics

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Copyright (c) 2014 Коваль О.А., Коваль Е.А.

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