  Using complex analysis, we have investigated classical quasi-one-dimensional
atom-atom scattering under 2D harmonic confinement with two different
interaction potential (Yukawa and Lennard-Jones) and found that the
Confinement-Induced Resonance (CIR) that occurs in the quantum system seems to
have a classical analogy. We observed CIR in our classical results in the sense
that a clear minimum appeared in the transmission coefficient for the different
interaction potentials. We also investigated the change in the value and
position of this minimum by varying the characteristic parameters of the system
including the angular momentum $L_z$ along the longitudinal axis. In the
quantum case, it has already been shown that for the zero range Huang
potential, CIR occurs only for $L_z = 0$. Our results indicate that classical
CIR can also occur for $L_z \ne 0$ using finite range potentials. We have
endeavoured to provide extensive physical arguments to explain the observed
results and to support the proposed analogy between the classical and quantum
regimes where applicable.
