Quantum Dynamics from Classical Trajectories - IPAM at UCLA

Explore quantum dynamics through classical trajectories in this insightful lecture by Nandini Ananth from Cornell University. Delve into semiclassical approximations based on the path integral formulation of quantum mechanics and learn about a novel approach that modulates phase contributions from different degrees of freedom. Discover how this method enables quantum dynamic simulations in complex chemical systems. Examine the challenges in evaluating the semiclassical prefactor and sampling path space. Gain understanding of key concepts such as the semiclassical propagator, correlation functions, and mixed limit calculations. Investigate nonadiabatic dynamics, quantum vs. classical limits, and the linearized semiclassical limit. Access additional resources, including a GitHub repository, to further enhance your knowledge of this cutting-edge research in quantum mechanics.

Introduction
What motivates your work
Basic terms
Semiclassical propagator
Correlation function
Phase contribution
Filter
Prefactor
Numerical example
How does it work
Mixed limit calculation
Nonadiabatic dynamics
Correlation functions
Quantum limit vs classical limit
QC correlation
Mixed quantization
Mixed limit results
Filtering the exact path integral
Linearized semiclassical limit
Summary
Github