On the Global Minimum of the Energy–Momentum Relation for the Polaron
Mathematical Physics, Analysis and Geometry(2023)
摘要
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 translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.
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关键词
Polaron,Energy-Momentum relation,Localization transition,Perron-Frobenius
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