论文标题
循环量子重力的图相干状态
Graph coherent states for loop quantum gravity
论文作者
论文摘要
在本文中，我们进一步研究了图相干状态的构建，该状态在[1]中首次引入了循环量子重力。我们专门研究了定义适合规范环量子重力汉密尔顿的一组相干状态的可能性。在讨论了一般框架的各个方面和操作员的选择之后，我们使用汉密尔顿运营商的欧几里得部分提出了一般规范结构的生成器，以定义相干状态。然后，我们采用施工程序，导致新的图相干状态部分地适应了循环量子重力的重力汉密尔顿。
In this article we further investigate the construction of graph coherent states, first introduced in [1], in the context of loop quantum gravity. We specifically investigate the possibility of defining a family of graph coherent states adapted to the canonical loop quantum gravity Hamiltonian. After discussing various aspects of the general framework and the choice of operators, we use the Euclidean part of the Hamiltonian operator to propose a generator of the generalized canonical structure, necessary to define the coherent states. We then apply the construction procedure, leading to a new family of graph coherent states partially adapted to the gravity Hamiltonian in loop quantum gravity.
