Diffraction and tunneling in systems with mixed phase space.

  title={Diffraction and tunneling in systems with mixed phase space.},
  author={Akiyuki Ishikawa and Atushi Tanaka and Kensuke S. Ikeda and Akira Shudo},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={86 3 Pt 2},
The role of diffraction is investigated for two-dimensional area-preserving maps with sharply or almost sharply divided phase space, in relation to the issue of dynamical tunneling. The diffraction effect is known to appear in general when the system contains indifferentiable or discontinuous points. We find that it controls the quantum transition between… CONTINUE READING