Wiersig J
Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Aug;64(2 Pt 2):026212. doi: 10.1103/PhysRevE.64.026212. Epub 2001 Jul 19.
We show that wave functions in planar rational polygonal billiards (all angles rationally related to pi) can be expanded in a basis of quasistationary and spatially regular states. Unlike the energy eigenstates, these states are directly related to the classical invariant surfaces in the semiclassical limit. This is illustrated for the barrier billiard. We expect that these states are also present in integrable billiards with point scatterers or magnetic-flux lines.
我们表明，平面有理多边形台球（所有角度与π呈有理关系）中的波函数可以在准稳态和空间规则态的基中展开。与能量本征态不同，这些态在半经典极限下与经典不变曲面直接相关。这在势垒台球中得到了说明。我们预计这些态也存在于具有点散射体或磁通线的可积台球中。
