中文摘要：

通过引入圈量子引力中holonomy基本变量的类比变量和采用相应的量子化方法,对Schwarichild-de Sitter黑洞中心附近的引力场进行量子化.分析和计算了黑洞中心附近的1r和曲率标量的谱分布,得到了它们均存在有限上界的结果.通过求解经典时空奇点r=0附近的量子哈密顿约束方程,给出了黑洞波函数在黑洞中心附近的时间演化行为,得到了该波函数可以通过经典奇点进行量子演化的结果.

英文摘要：

By using the analog variable of the holonomy variable of loop quantum gravity and the corresponding quantization method, the gravity field near the center of the Schwarichild-de Sitter black hole is processed though quantization. The spectrums of 1/r and the curvature invariant are computed near the black hole center and the result that the both spectrums is bounded from above are obtained. Following the above quantization method and by computing the quantum Hamiltonian constraint equation of the gravity field near the classical sing ularity r=0, the evolution formula of the black hole wave function is obtained and the result that the wave function can evolve though the classical singu larity is obtained.