论文标题
标量曲率算子用于量子还原的环重力
Scalar curvature operator for quantum-reduced loop gravity
论文作者
论文摘要
在上一篇文章中，我们引入了一个代表环量子重力中三维标量曲率的操作员。在本文中，我们研究了在量子还原回路重力的情况下的新曲率操作员。我们在量子还原模型的Hilbert空间上以曲率运算符的形式得出了曲率运算符的明确形式。作为一个简单的实践例子，我们研究了操作员在降低的希尔伯特空间的基础状态方面的期望值。
In a previous article we have introduced an operator representing the three-dimensional scalar curvature in loop quantum gravity. In this article we examine the new curvature operator in the setting of quantum-reduced loop gravity. We derive the explicit form of the curvature operator as an operator on the Hilbert space of the quantum-reduced model. As a simple practical example, we study the expectation values of the operator with respect to basis states of the reduced Hilbert space.
