对于相互作用粒子系统的施罗丁格桥梁
1Université Paris-Saclay, CEA, Institut de Physique Théorique, CNRS, Gif-Sur-Yvette, France.
Physical review. E
|August 19, 2025
概括
我们介绍了一种方法,用于计算初始和最终概率分布之间的相互作用粒子系统最可能的演变. 这将施罗丁格桥的问题扩展到不相互作用的粒子之外.
科学领域:
- 统计力学 统计力学
- 量子力学就是量子力学.
- 最佳运输理论 最佳运输理论
背景情况:
- 施罗丁格桥的问题确定了两个概率分布之间的最可能的路径.
- 现有的解决方案仅限于非相互作用的粒子系统 (简单的布朗进化).
- 这个问题在数学上与调节的最佳运输有关.
研究的目的:
- 将施罗丁格桥梁问题概括为相互作用粒子系统.
- 开发一个用于分析交互系统动态的计算框架.
主要方法:
- 对于前向和后向单粒子"波函数"的新式方程的导出.
- 将最佳运输原理扩展到相互作用的粒子系统.
主要成果:
- 导出方程使得最可能的单粒子概率演变的计算.
- 成功地将施罗丁格桥梁框架概括为处理粒子相互作用.
结论:
- 这种新方法为研究具有相互作用粒子的复杂系统提供了一个强大的工具.
- 这项工作弥合了最佳运输理论和相互作用的量子或经典系统的动态之间的差距.
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