# Compactness of Molecular Reaction Paths in Quantum Mechanics

@article{Anapolitanos2020CompactnessOM, title={Compactness of Molecular Reaction Paths in Quantum Mechanics}, author={Ioannis Anapolitanos and Mathieu Lewin}, journal={Archive for Rational Mechanics and Analysis}, year={2020}, volume={236}, pages={505-576} }

We study isomerizations in quantum mechanics. We consider a neutral molecule composed of N quantum electrons and M classical nuclei and assume that the first eigenvalue of the corresponding N -particle Schrödinger operator possesses two local minima with respect to the locations of the nuclei. An isomerization is a mountain pass problem between these two local configurations, where one minimizes over all possible paths the highest value of the energy along the path. Here we state a conjecture… CONTINUE READING

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