标题： 高度各向异性均匀宇宙学的波函数 显示英文标题

标题： Wavefunctions for Highly Anisotropic Homogeneous Cosmologies

摘要： 齐次宇宙的规范量子化在高各向异性极限下被考虑。 在经典水平上减少动量约束时，找到了精确的波函数。 识别出代表从经典禁止区域隧穿的洛伦兹解。 当考虑动量约束的量子化减少时，也找到了真空 Bianchi IX 模型的修改后的 Wheeler-DeWitt 方程的解。 显示英文摘要

摘要： The canonical quantization of homogeneous cosmologies is considered in the high anisotropic limit. Exact wavefunctions are found in this limit when the momentum constraints are reduced at the classical level. Lorentzian solutions that represent tunnelling from classically forbidden regimes are identified. Solutions to the modified Wheeler-DeWitt equation are also found for the vacuum Bianchi IX model when a quantum reduction of the momentum constraints is considered.