Multichannel scattering amplitudes of microparticles in a quantum well with two-dimensional delta-potential

摘要

The quasi-one-dimensional scattering of a quantum particle on the two-dimensional delta-potential is considered. Analytical expressions for multi-channel transmission t (n) and reflection r (n) amplitudes are given. The problem is solved for the case of finite number of channels that is equal to N when the particle is incident on the potential while moving in l channel. The case of three-channel scattering was examined in details. As was shown within the frameworks of this problem, the "overpopulation" of particles in the second and third channels occurs when k (2) -> 0 and k (3) -> 0. The location points of delta-potential that provide the complete "overpopulation" of channels were also obtained.