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Traveling waves and effective mass for the regularized Landau-Pekar equations (2211.08198v2)
Published 15 Nov 2022 in math-ph, math.AP, and math.MP
Abstract: We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a definition of the effective mass for the regularized Landau-Pekar equations based on the energy-velocity expansion of subsonic traveling waves. Moreover we show that this definition of the effective mass agrees with the definition based on an energy-momentum expansion of low energy states.
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