
TY  - JOUR
A1  - Ponomarev, I. V. 
T1  - Two-dimensional Scattering by a Potential without a Classical Analogue
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1999
VL  - 52
IS  - 5
SP  - 859
EP  - 885
KW  - 
UR  - https://doi.org/10.1071/PH98095 
N2  - A two-dimensional scattering potential represents the quantum extension of a diffractive lattice: a Dirac delta function with a modulated permeability along the y-axis. This model does not have an explicit classical analogue and quantum effects such as tunneling and diffraction play an important role. An analytical solution for the one-harmonic case is found. For the general case of an arbitrary number of harmonics a simple criterion is derived for the range of parameters where quantum chaos is permitted (but does not necessarily occur). The statistical properties of the S-matrix for the given model have been investigated. The deviations from the usual predictions for irregular scattering in the random matrix theory (RMT) framework have been found and are discussed. 
ER  -

