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Multiscale Approaches to Quantum Mechanics - Vacuum, Atoms, Engineering-Scale

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Explore a comprehensive lecture on multiscale approaches to quantum mechanics, covering topics from vacuum and atoms to engineering-scale structures. Delve into experimental evidence, Hessian matrices, Faraday cage effects, and macroscale cantilevers. Examine model interpretations, charge transfer, phonons, and error analysis in measurements. Investigate binding energies, quantum fields, and the quantum vacuum, including the Heron of bomb effect and thunderweight interactions. Compare quantum and classical pictures, analyze classical scaling laws, and explore beyond perturbation theory. Gain insights into future work in this field presented by Alexandre Tkatchenko from the University of Luxembourg at IPAM's Multiscale Approaches in Quantum Mechanics Workshop.

Syllabus

Intro
Experimental Evidence
Experimental Results
Hessian Matrix
Faraday Cage Effect
Macroscale cantilever
Model interpretation
Charge transfer
Phonons
Error bars
Measurement error
Binding energies
Quantum field
Quantum vacuum
Heron of bomb effect
Thunderweight interactions
Intermolecular interactions
Quantum vacuum field
Quantum oscillator model
Quantum picture vs classical picture
Classical scaling law
Beyond perturbation theory
Future work

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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