Stochastic and Multiscale Modeling and Computation Seminar by Chiun-Chang Lee: An Introduction to Schr枚dinger Equations and Semiclassical Limits
Speaker: Chiun-Chang Lee, National Tsing Hua University, Taiwan
Title: An Introduction to Schr枚dinger equations and semiclassical limits
Abstract: Nonlinear Schr枚dinger equations are a research topic with a wide range of applications, including problems in nonlinear optics and models of Bose鈥揈instein condensates. The semiclassical limit serves as a bridge between quantum mechanics and classical mechanics, enabling us to understand how classical physics emerges from quantum mechanical principles as Planck's constant tends to zero.
In this talk, I will present a method for studying the semiclassical limits of Schr枚dinger equations. Using Madelung's transformation, I will formally derive its hydrodynamic equations and the corresponding limiting equations, specifically the compressible Euler equations.
Stochastic and Multiscale Modeling and Computation Seminar