Multiscale Inverse Problem, from Schroedinger to Newton to Boltzmann - IPAM at UCLA

Explore a comprehensive lecture on multiscale inverse problems spanning quantum to classical scales. Delve into the connections between inverse Schroedinger, Newton's second law, Boltzmann, and diffusion equations. Examine how these seemingly distinct problems are fundamentally linked across different scales of the universe. Gain insights into the mathematical foundations of inverse problems and their applications in various fields, from quantum mechanics to medical imaging. Discover the importance of multiscale approaches in understanding complex systems and solving real-world problems.

Introduction
What is an inverse problem
Inverse problem examples
Multiscale structure
Newtonsecond law
Why I care
Quantum dynamics
Numerical simulation
Medical imaging vs diffusion equation
Particle duality
Light as waves
Inverse problem
Conclusion