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Ground States of a Transversely Confined Polaron: Uniqueness and an Explicit Limiting Profile
We study minimizers of the Pekar functional with a transverse harmonic potential, which models a polaron harmonically trapped in the transverse plane but free along the longitudinal direction. For any confinement strength $Ω>0$, minimizers exist and, up to a translation along the $x_3$-direction, ar
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