On the Strong Coupling Limit of Many-Polaron Systems in Electromagnetic\n Fields

2013/08/23 by David Wellig, Wellig, David
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1308.5118

openalex publication_date 2013/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper estimates on the ground state energy of Fr "ohlich N-polarons\nin electromagnetic fields in the strong coupling limit, \α\→\∞, are\nderived. It is shown that the ground state energy is given by \α²\nmultiplied by the minimal energy of the corresponding Pekar-Tomasevich\nfunctional for N particles, up to an error term of order \α^42/23N³.\nThe potentials A,V are suitably rescaled in \α. As a corollary, binding\nof N-polarons for strong magnetic fields for large coupling constants is\nestablished.\n

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