Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron Mitrouskas, David Johannes Mysliwy, Krzysztof Seiringer, Robert ; https://orcid.org/0000-0002-6781-0521 ddc:500 We consider the large polaron described by the Fröhlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar. Cambridge University Press 2023 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/13178 https://research-explorer.ista.ac.at/download/13178/13186 Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. 2023;11:1-52. doi:<a href="https://doi.org/10.1017/fms.2023.45">10.1017/fms.2023.45</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1017/fms.2023.45 info:eu-repo/semantics/altIdentifier/e-issn/2050-5094 info:eu-repo/semantics/altIdentifier/wos/001005008800001 info:eu-repo/semantics/altIdentifier/arxiv/2203.02454 info:eu-repo/semantics/openAccess