Eichengrun M, Schirmacher W, Bregmann W
Physik-Department E13, Technische Universitat Munchen, D-85747 Garching, Germany.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jan;61(1):382-9. doi: 10.1103/physreve.61.382.
We study the classical and semiclassical scattering behavior of electrons in an open three-disk billard in the presence of a homogeneous magnetic field, which is confined to the inner part of the scattering region. As the magnetic field is increased the phase space of the invariant set of the classical scattering trajectories changes from hyperbolic (fully chaotic) to a mixed situation, where KAM tori are present. The "stickiness" of the stable trajectories leads to a much slower decay of the survival probability of trajectories as compared to the hyperbolic case. We show that this effect influences strongly the quantum fluctuations of the scattering amplitude and cross sections.
我们研究了在存在均匀磁场的开放三圆盘台球中电子的经典和半经典散射行为，该磁场局限于散射区域的内部。随着磁场增强，经典散射轨迹不变集的相空间从双曲型（完全混沌）转变为存在KAM环面的混合情况。与双曲型情况相比，稳定轨迹的“粘性”导致轨迹生存概率的衰减要慢得多。我们表明，这种效应强烈影响散射振幅和截面的量子涨落。
