施特劳斯黑洞附近量子力学随机轨迹
Stochastic Quantum Mechanics Trajectories Near Schwarzschild Horizon Black Holes
AI总结：
研究将随机量子力学应用于弯曲时空，重点分析施特劳斯黑洞的量子随机轨迹，通过协变方法扩展量子随机方程，解决克莱因-戈尔登方程并分析不同参数下的轨迹特性。
摘要：
本文探讨将随机量子力学应用于弯曲时空的可能性，重点研究施特劳斯黑洞。在回顾该方法基本概念后，通过完全协变处理将量子随机方程扩展到弯曲时空。随后，求解标量扰动的克莱因-戈尔登方程，并通过改变角动量、粒子频率和计算积分时间等参数分析所得随机轨迹。结论显示，轨迹受时空引力波动影响，不同基本参数变化会得到不同类型的随机轨迹。
英文摘要：
This work explores the possibility of applying stochastic quantum mechanics to curved spacetimes, with an emphasis on the Schwarzschild black hole. After reviewing the fundamental concepts of this approach, the quantum stochastic equations are extended to curved spacetime using a fully covariant treatment. Subsequently, the Klein-Gordon equation is solved for scalar perturbations, and the resulting stochastic trajectories are analyzed by varying parameters such as angular momentum, particle frequency, and computational integration time. In conclusion, we find that the trajectories are influenced by gravitational fluctuations in spacetime and that, depending on the variation of the fundamental parameters, different types of stochastic trajectories are obtained.
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