具有指数势的量子宇宙学暴涨模型

An Inflationary Model of Quantum Cosmofogy with Exponential Potential

本文讨论了微超空间中具有最小耦合标量场的暴涨宇宙的量子宇宙学模型，暴涨势为运用Ｈａｒｔｌｅ－Ｈａｒｋｉｎｇ边界条件提案，我们得到了宇宙极早期时标度因子和标量场随时间的演化关系，以及为克服视界和平性问题所满足的约束条件．而且发现Ｈａｒｔｌｅ－Ｈａｗｋｉｎｇ波函数可以预言导致暴涨的初态．

A quantum cosmological model of inflationary univcrse with mininally coupled scalarfield is dcscussed in minisuperspace.Infationary potcntial is chosen as V ap-plying the approach of the boundary condition of Hartle-Hawking,we derive the evolution in time of thecosmic seale factor and of the scalar field in the very cariy universe,together with the constraints to besatisfied in order to solve the horizon and flatness problems.We also find that Hartlc-Hawking wave func-tion might predict initial state that leads to inflation.