标题： 离散量子引力中的体积算符 显示英文标题

标题： THE VOLUME OPERATOR IN DISCRETIZED QUANTUM GRAVITY

摘要： 我们在先前引入的格点离散化的框架下研究量子引力中体积算符的谱性质。 这种方法中定义良好的纯量积的存在使我们能够明确地讨论量子算符的厄米性。 我们发现体积算符的谱是离散的，但其本征态的性质与早期连续处理中发现的不同。 显示英文摘要

摘要： We investigate the spectral properties of the volume operator in quantum gravity in the framework of a previously introduced lattice discretization. The presence of a well-defined scalar product in this approach permits us to make definite statements about the hermiticity of quantum operators. We find that the spectrum of the volume operator is discrete, but that the nature of its eigenstates differs from that found in an earlier continuum treatment.