Stochastic and Multiscale Modeling and Computation Seminar by Chiun-Chang Lee: An Introduction to Schrödinger Equations and Semiclassical Limits

Speaker: Chiun-Chang Lee, National Tsing Hua University, Taiwan

Title: An Introduction to Schrödinger equations and semiclassical limits

Abstract: Nonlinear Schrödinger equations are a research topic with a wide range of applications, including problems in nonlinear optics and models of Bose–Einstein 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 Schrödinger 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