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Minkowski-Fock states in accelerated frames
Physical Review D ( IF 5 ) Pub Date : 2022-08-12 , DOI: 10.1103/physrevd.106.045013
Riccardo Falcone , Claudio Conti

An explicit Wigner formulation of Minkowski particle states for noninertial observers is unknown. Here, we derive a general prescription to compute the characteristic function for Minkowski-Fock states in accelerated frames. For the special case of single-particle and two-particle states, this method enables one to derive mean values of particle numbers and correlation function in the momentum space, and the way they are affected by the acceleration of the observer. We show an indistinguishability between Minkowski single-particle and two-particle states in terms of Rindler particle distribution that can be regarded as a way for the observer to detect any acceleration of the frame. We find that for two-particle states the observer is also able to detect acceleration by measuring the correlation between Rindler particles with different momenta.

中文翻译:

加速帧中的 Minkowski-Fock 状态

对于非惯性观察者,闵可夫斯基粒子状态的明确 Wigner 公式是未知的。在这里,我们推导出一个通用方法来计算加速帧中 Minkowski-Fock 状态的特征函数。对于单粒子和双粒子状态的特殊情况,这种方法可以推导出动量空间中粒子数和相关函数的平均值,以及它们受观察者加速度影响的方式。我们在 Rindler 粒子分布方面展示了 Minkowski 单粒子和双粒子状态之间的不可区分性,这可以被视为观察者检测框架的任何加速度的一种方式。我们发现,对于双粒子状态,观察者还能够通过测量具有不同动量的 Rindler 粒子之间的相关性来检测加速度。
更新日期:2022-08-12
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