论文标题
在弯曲的时空几何形状中大量局部波函数的轨迹
Trajectory of a massive localised wave function in a curved spacetime geometry
论文作者
论文摘要
在其休息框架中研究了大规模标量场的局部波函数的传播。提出了完整的正交Hermite-gauss基础，并且对Gouy阶段和瑞利量表的概念进行了调整。在一般弯曲的时空几何形状中传播的局部量子波函数的领先和子领导的重力校正是在费米的坐标中计算出的，围绕其静止框架的时间样地理位生，并得出了模式之间的交叉对话系数。可以观察到球形对称模式沿着测量线传播。但是，发现非球形模式在子领先顺序上经历了模式依赖的残留量子力。结果表明，残留力不会为活动内波函数产生逃逸速度，而是导致散射偏移率的模式依赖性偏转角。
Propagation of a localised wave function of a massive scalar field is investigated in its rest frame. The complete orthogonal Hermite-Gauss basis is presented, and the Gouy phase and Rayleigh scale notions are adapted. The leading and sub-leading gravitational corrections to a localised quantum wave function propagating in a general curved spacetime geometry are calculated within the Fermi coordinates around the time-like geodesic of its rest frame, and cross-talk coefficients among the modes are derived. It is observed that spherically symmetric modes propagate along the geodesic. However, non-spherical modes are found to experience a mode-dependent residual quantum force at the sub-leading order. It is shown that the residual force does not generate an escape velocity for in-falling wave functions but leads to a mode-dependent deflection angle for the scattered ones.
