Abstract
In this paper, estimates on the ground state energy of Fröhlich N-polarons in electromagnetic fields in the strong coupling limit, α → ∞, are derived. It is shown that the ground state energy is given by α2multiplied by the minimal energy of the corresponding Pekar–Tomasevich functional for N particles, up to an error term of order α42/23 N3. The potentials A, V are suitably rescaled in α. As a corollary, binding of N-polarons for strong magnetic fields for large coupling constants is established.
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