束缚态对微扰的敏感性

SENSITIVITY OF BOUND STATES TO PERTURBATION

用严格数学方法证明，Ｓｃｈｒｏｄｉｎｇｅｒ方程的束缚态解敏感地依赖于外界扰动，系统通过改变能量来维持束缚态．当能量改变大于两束缚态能级差时，能级跃迁发生．给出保证束缚态稳定的能量修正公式，指出量子力学发散困难的起因．

By using a strict mathematical method to prove that bound state solutions of the Schro dinger equation sensitively depend on some additional perturbations. The bound states will be holden through changing energy of the system. When the energy correction is greater than the difference between two energy levels,transition between the two bound states occurs. As necessary and sufficent conditions of the bound states,formulas of the corrected energy are given. Origins of the divergence difficulties of quantum mechanicas are pointed out.