一维奇型Dirac算式自伴域的刻画

Dirac方程是量子力学的基本方程，讨论Dirac算式的自伴域在数学物理中有广泛的应用，文中根据Dirac算式的最大定义域、最小定义域和Dirac算式在区间0，b]上的自伴域的结果，利用自伴延拓的Calkin描述通过对b取极限的讨论推导出Dirac算式在区间0，＋∞）上的自伴域D（T（L））={f∈D（L）／f1（0）Cosα＋f2（0）sinα}，并证明了当势函数q1（x），q2（x）为区间0，＋∞）上的实值连续函数，则L必是极限点．

Self-adjoint domain of one-dimensional singular dirac operator

Dirac equation is one of the fundamental equations of quantum mechanics, and discussion of self-adjoint domains is very important in mathematics and physics. By using maximum and minimum independent variable of Dirac operator and the conclusions of regular Dirae operator＇s self-adjoint domains in 0 ,b], one dimensional singular Dirac operator＇s self-adjoint domains D（T（L） ） = {f∈ D（L）｜f1 （0）cos α ＋f2 （0）sin α }in 0, ＋∞ ） were described. It was concluded that singular dirac operator L was limit-point when the potential was continuous.