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Open Quantum Systems Decoherence

Some properties of the potential-to-ground state map in quantum mechanics

arXiv

Authors: Louis Garrigue

Year

2020

Paper ID

18646

Status

Preprint

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~2 min

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Abstract

We analyze the map from potentials to the ground state in static many-body quantum mechanics. We first prove that the space of binding potentials is path-connected. Then we show that the map is locally weak-strong continuous and that its differential is compact. In particular, this implies the ill-posedness of the Kohn-Sham inverse problem.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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We analyze the map from potentials to the ground state in static many-body quantum mechanics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.04054 [2] arXiv https://arxiv.org/abs/2012.04054 [3] Publisher https://arxiv.org/abs/2012.04054

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