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arXiv · 2206.14708

On the global minimum of the energy-momentum relation for the polaron

Jonas Lampart·David Mitrouskas·Krzysztof Myśliwy
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Abstract

For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.

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Jonas Lampart, David Mitrouskas, Krzysztof Myśliwy. 2022-07-11. On the global minimum of the energy-momentum relation for the polaron. https://doi.org/10.1007/s11040-023-09460-x

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