主讲人：丁茗楠 博士后（上海交通大学）

题目：Rigorous and Covariant Formulations of Path-integral for Quantum and Stochastic Dynamics in Curved Space

时间：2021年05月29日上午10：00

会议ID：（腾讯会议）958 663 095

联系人：黄亮

报告摘要：

In this talk we provide a rigorous definition for path integral in curved space using the scheme of time-slicing regularization. We first derive the path integral representation for quantum mechanics and Markovian processes in curved space. Then we show that the there are infinite equivalent representations of the short-time transition amplitude/probability of a given dynamics, in the sense that they generate the same continuous time dynamics in the limit dt → 0. We construct all the equivalent representations characterized by an interpolation parameter 0 ≤ α ≤ 1. The α = 0 representation is particularly convenient because if its Gaussian nature. Finally we discuss the covariance problem and solve the problem that how path integrals should transform nonlinear transform of variables.

个人简介：

Mingnan Ding is a postdoc of physics in Shanghai Jiao Tong University. He obtained Phd from Shanghai Jiao Tong University in 2020. His research interests include both classical and quantum statistical physics.