标题： 薛定谔波函数和弯曲时空中的真空态 显示英文标题

标题： The Schrodinger Wave Functional and Vacuum States in Curved Spacetime

摘要： 在弯曲时空中的真空态的薛定谔图像描述得到了进一步发展。 给出了静态和动态（Bianchi I型）时空以及罗伯逊-沃尔克型共形静态时空的真空波函数的一般解。 该形式化方法通过具有时间依赖度规的简单宇宙学模型进行说明，并将粒子产生现象与真空波函数中核的特殊形式相关联。 显示英文摘要

摘要： The Schrodinger picture description of vacuum states in curved spacetime is further developed. General solutions for the vacuum wave functional are given for both static and dynamic (Bianchi type I) spacetimes and for conformally static spacetimes of Robertson-Walker type. The formalism is illustrated for simple cosmological models with time-dependent metrics and the phenomenon of particle creation is related to a special form of the kernel in the vacuum wave functional.