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- W1640398212 abstract "We study the tunnelling trough a potential barrier of the system of two quantum correlated particles. The system is considered in one dimension. The interaction with the barrier and between particles is approximated by $delta$-potentials. Assuming that the particles have the same masses, we reduce the problem to the set of independent planar scattering problems corresponding to two-body flux symmetry with respect to the barrier. In order to solve the problems we apply the method of Sommerfeld-Maluzhinets integral transformation, which requires the solution of a set of functional equations. We show that the sub-problem which is antisymmetric with respect to the center of mass allows the solution in frames of the Bethe ansatz. So we give the exact solution of this problem. For the subproblem which is symmetric we describe the class of solutions for the functional equations and give an approach for obtaining the solution." @default.
- W1640398212 created "2016-06-24" @default.
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- W1640398212 date "2003-11-20" @default.
- W1640398212 modified "2023-09-27" @default.
- W1640398212 title "Correlated Tunnelling of Two Electrons through a Barrier in Quantum Wires" @default.
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