.png){kind=icon}
返回
Path integrals and stochastic calculus
.png){kind=icon}
OA
AI
DOI：10.1080/00018732.2023.2199229.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Path integrals are a ubiquitous tool in theoretical physics. However, their use is sometimes hindered by the lack of control on various manipulations-such as performing a change of the integration path-one would like to carry out in the light-hearted fashion that physicists enjoy. Similar issues arise in the field of stochastic calculus, which we review to prepare the ground for a proper construction of path integrals. At the level of path integration, and in arbitrary space dimension, we not only report on existing Riemannian geometry-based approaches that render path integrals amenable to the standard rules of calculus, but also bring forth new routes, based on a fully time-discretized approach, that achieve the same goal. We illustrate these various definitions of path integration on simple examples such as the diffusion of a particle on a sphere.
Keyword:
theoretical physics
path integrals
stochastic calculus
期刊
IF:
13.8
论文数:
546
被引数:
6.3K
机构
引用论文
分享收藏The “ART” of Linkage: Pre-Treatment Loss to Care after HIV Diagnosis at Two PEPFAR Sites in Durban, South Africa联系的 “艺术”: 在南非德班的两个PEPFAR地点，艾滋病毒诊断后的治疗前损失到护理.png)
PLoS ONE
OAAI
PLoS ONEIF0
OAAI分享收藏分享收藏分享收藏
查看更多内容