Numerical solutions to lattice-refined models in loop quantum cosmology
Numerical solutions to lattice-refined models in loop quantum cosmology
复制标题
环量子宇宙学中晶格细化模型的数值解
DOI：
10.1088/0264-9381/25/8/085009
复制
发表时间：
2007
影响因子：
3.5
通讯作者：
G. Khanna
中科院分区：
文献类型：
--
作者：
S. Sabharwal;G. Khanna
本文发展了一种直观有效的数值方法来求解圈量子宇宙学中一般格点精化模型的量子演化方程。作为这种方法的一个应用，我们广泛研究了最近推出的，格子细化各向异性模型的史瓦西内部几何的解决方案。我们的计算表明，从该方法获得的结果是准确的，强大的，并在完全符合冯诺依曼稳定性分析的模型的期望。
In this paper, we develop an intuitive and efficient numerical technique to solve the quantum evolution equation of generic lattice-refined models in loop quantum cosmology. As an application of this method, we extensively study the solutions of the recently introduced, lattice-refined anisotropic model of the Schwarzschild interior geometry. Our calculations suggest that the results obtained from the approach are accurate, robust and in complete agreement with the expectations from the von Neumann stability analysis of the model.