标题： Rindler时空中的Wigner分布和非真空Minkowski态 显示英文标题

标题： Wigner distributions in Rindler spacetime and nonvacuum Minkowski states

摘要： 在20世纪70年代，Fulling、Davies和Unruh证明了，在闵可夫斯基空间中，惯性观察者感知的真空态对于匀加速观察者而言似乎是一个热浴。 我们研究了实标量场的Wigner分布从惯性系到Rindler系的变换，同时利用了闵可夫斯基模式和Unruh模式。 我们给出了特定一组无质量标量场配置的约化Wigner分布的一般表达式，并将其与该组内的已知分布进行验证。 这包括Unruh-Minkowski模式的任意高斯态、闵可夫斯基真空态、Rindler真空以及Unruh粒子的热浴。 此外，我们还分析了其他几种分布，例如均匀动量分布、对闵可夫斯基真空的微小偏离，以及在Rindler系中具有费米子成分的分布。 结论进行了讨论。 显示英文摘要

摘要： In the 1970s, Fulling, Davies, and Unruh demonstrated that the vacuum state perceived by an inertial observer in Minkowski space appears as a thermal bath to a uniformly accelerated observer. We explore the transformation of the Wigner distribution of a real scalar field from an inertial to a Rindler frame, utilizing both Minkowski and Unruh modes. We present a general expression for the reduced Wigner distribution for a specific set of massless scalar field configurations, and validate it against known distributions within this set. This includes arbitrary Gaussian states of Unruh-Minkowski modes, the Minkowski vacuum state, the Rindler vacuum, and the thermal bath of Unruh particles. Additionally, we analyze several other distributions, such as a uniform momentum distribution, a slight deviation from the Minkowski vacuum, and a distribution with a Fermionic component in the Rindler frame. The conclusions are discussed.