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1
Introduction
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What motivates your work
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Basic terms
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Semiclassical propagator
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Correlation function
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Phase contribution
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Filter
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Prefactor
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Numerical example
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How does it work
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Mixed limit calculation
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Nonadiabatic dynamics
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Correlation functions
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Quantum limit vs classical limit
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QC correlation
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Mixed quantization
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Mixed limit results
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Filtering the exact path integral
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Linearized semiclassical limit
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Summary
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Github
Description:
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.

Quantum Dynamics from Classical Trajectories - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM)
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