数值研究Sinai台球能谱和粒子波函数分布特征

Find particle in Sinai billiards’eigenvalues and probability distribution with numerical method

运用边界积分方法(boundary integral method,简称BIM)求解Sinai台球低能区的能谱及其相应的本征态波函数.将Sinai台球和1/4 Sinai台球对应能量的本征态波函数进行对照,由于两者对称性的显著差异,故其部分能级的本征态波函数表现出明显的不同.

The author calculates the eigen-values and eigenwave functions of Sinai billiard at low energies with BIM （the boundary integral method）. Eigen-wave functions of Sinai billiard are compared with 1/4 Sinai billiard. Due to the apparent difference in their symmetry, the author finds that some eigenwave functions of them at the same energy are very different.