@article{17154,
  abstract     = {We compute the deterministic approximation for mixed fluctuation moments of products of deterministic matrices and general Sobolev functions of Wigner matrices. Restricting to polynomials, our formulas reproduce recent results of Male et al. (Random Matrices Theory Appl. 11(2):2250015, 2022), showing that the underlying combinatorics of non-crossing partitions and annular non-crossing permutations continue to stay valid beyond the setting of second-order free probability theory. The formulas obtained further characterize the variance in the functional central limit theorem given in the recent companion paper (Reker in Preprint, arXiv:2204.03419, 2023). and thus allow identifying the fluctuation around the thermal value in certain thermalization problems.},
  author       = {Reker, Jana},
  issn         = {1572-9656},
  journal      = {Mathematical Physics, Analysis and Geometry},
  number       = {3},
  publisher    = {Springer Nature},
  title        = {{Fluctuation moments for regular functions of Wigner Matrices}},
  doi          = {10.1007/s11040-024-09483-y},
  volume       = {27},
  year         = {2024},
}

@article{14192,
  abstract     = {For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.},
  author       = {Lampart, Jonas and Mitrouskas, David Johannes and Mysliwy, Krzysztof},
  issn         = {1572-9656},
  journal      = {Mathematical Physics, Analysis and Geometry},
  keywords     = {Geometry and Topology, Mathematical Physics},
  number       = {3},
  publisher    = {Springer Nature},
  title        = {{On the global minimum of the energy–momentum relation for the polaron}},
  doi          = {10.1007/s11040-023-09460-x},
  volume       = {26},
  year         = {2023},
}

@article{10623,
  abstract     = {We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.},
  author       = {Henheik, Sven Joscha},
  issn         = {1572-9656},
  journal      = {Mathematical Physics, Analysis and Geometry},
  keywords     = {geometry and topology, mathematical physics},
  number       = {1},
  publisher    = {Springer Nature},
  title        = {{The BCS critical temperature at high density}},
  doi          = {10.1007/s11040-021-09415-0},
  volume       = {25},
  year         = {2022},
}

@article{154,
  abstract     = {We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.},
  author       = {Moser, Thomas and Seiringer, Robert},
  issn         = {1572-9656},
  journal      = {Mathematical Physics, Analysis and Geometry},
  number       = {3},
  publisher    = {Springer},
  title        = {{Stability of the 2+2 fermionic system with point interactions}},
  doi          = {10.1007/s11040-018-9275-3},
  volume       = {21},
  year         = {2018},
}

@article{1079,
  abstract     = {We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers.},
  author       = {Nam, Phan and Van Den Bosch, Hanne},
  issn         = {1385-0172},
  journal      = {Mathematical Physics, Analysis and Geometry},
  number       = {2},
  publisher    = {Springer},
  title        = {{Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges}},
  doi          = {10.1007/s11040-017-9238-0},
  volume       = {20},
  year         = {2017},
}