研究了具有一个奇异端点的线性哈密顿算子的自伴扩张的解析描述.设最小哈密顿算子h的亏指数为(d,d),将Im(h*Y,Y)表示为秩为2d的二次型,该文利用二次型的表示矩阵得到了最小哈密顿算子h的自伴扩张域的一种新的完全描述.
In this paper, the self-adjoint extension of the minimal Hamiltonian operator h with equal deficiency index (d, d) is considered. Since Ira(h'y, y) can be represented as a quadratic form with rank being 2d, the new characterization of the domains of self-adjoint extensions of h is obtained by the representation matrix.