报告题目：Uniform asymptotic approximation and its applications 

报告人：朱涛  教授（浙江工业大学）

报告时间：2020 年 12 月 10 日（周四）15：30          

报告地点：在线报告（ 腾讯会议 ID : 537 4946 4937）

报告摘要：

The second-order ordinary differential equation (sODE) has been involved in a lot of branches of theoretical physics, and the Jeffreys-Wentzel-Kramers-Brillouin (JWKB) method is one of the most powerful approximation to this type of equation with great success. However, the validity of the JWKB method has to be restricted to the region where the JWKB condition (or adiabatic condition) is fulfilled. Recently, we developed a powerful and effective method, the uniform asymptotic approximation, to accurately construct analytical solutions of sODE. The most remarkable feature of this method is that it provides a systematic and error controlled treatment to regions where the adiabatic condition is violated, and goes over to the JWKB approximations when the adiabatic condition is restored. In this talk we are going to provide a brief introduction about the uniform asymptotic approximation and its recent applications to study the non-adiabatic effects on primordial perturbations. Applications to several other problems in quantum mechanics, black hole physics, and cosmology have also been discussed.

报告人简介：朱涛，浙江工业大学理论物理与宇宙学研究所教授。2010年6月毕业于兰州大学理论物理研究所，曾任美国贝勒大学 CASPER研究中心助理研究教授（2013.01-2018.01），浙江工业大学讲师(2010.07-2012.08)，副教授（2012.09-2018.12），教授(2019.01 - 至今)。目前主要研究兴趣包括：（1）早期宇宙中的量子引力效应及其可观测性；（2）引力的宇称破缺及其引力波检验等。主持多项国家自然科学基金和浙江省自然科学基金项目。截止目前已在Phys. Rev. D, JCAP, JHEP等物理学著名期刊发表研究论文60多篇，累计被国内外同行引用1300多次。