论文标题

在地球偏差方程中,状态依赖的重力噪声

State-dependent graviton noise in the equation of geodesic deviation

论文作者

Haba, Z.

论文摘要

我们考虑了在重力环境中重力波检测问题中出现的大地偏差方程。我们从Feynman积分和随机微分方程的角度研究了依赖状态的重力噪声(如最近的Parikh,Wilczek和Zahariade的论文所述)。在重力群环境中,密度矩阵的演变和过渡概率得到了。我们通过随机地球偏差方程的溶液表达时间演变,其噪声取决于重力场的量子状态。

We consider an equation of the geodesic deviation appearing in the problem of gravitational wave detection in an environment of gravitons. We investigate a state-dependent graviton noise (as discussed in a recent paper of Parikh,Wilczek and Zahariade) from the point of view of the Feynman integral and stochastic differential equations. The evolution of the density matrix and the transition probability in an environment of gravitons is obtained. We express the time evolution by a solution of a stochastic geodesic deviation equation with a noise dependent on the quantum state of the gravitational field.

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