@article{19705,
  abstract     = {A maximal realization of the two-dimensional Pauli operator, subject to Aharonov–Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived.},
  author       = {Fialova, Marie and Krejčiřík, David},
  issn         = {1793-6659},
  journal      = {Reviews in Mathematical Physics},
  number       = {6},
  publisher    = {World Scientific Publishing},
  title        = {{Virtual bound states of the Pauli operator with an Aharonov–Bohm potential}},
  doi          = {10.1142/S0129055X25500114},
  volume       = {37},
  year         = {2025},
}

@article{14542,
  abstract     = {It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Ξ
 and the critical temperature Tc is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density and high density. The goal of this short note is to extend the universal behavior to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit.},
  author       = {Henheik, Sven Joscha and Lauritsen, Asbjørn Bækgaard and Roos, Barbara},
  issn         = {1793-6659},
  journal      = {Reviews in Mathematical Physics},
  number       = {9},
  publisher    = {World Scientific Publishing},
  title        = {{Universality in low-dimensional BCS theory}},
  doi          = {10.1142/s0129055x2360005x},
  volume       = {36},
  year         = {2024},
}

@article{10852,
  abstract     = { We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass.},
  author       = {Seiringer, Robert},
  issn         = {1793-6659},
  journal      = {Reviews in Mathematical Physics},
  keywords     = {Mathematical Physics, Statistical and Nonlinear Physics},
  number       = {01},
  publisher    = {World Scientific Publishing},
  title        = {{The polaron at strong coupling}},
  doi          = {10.1142/s0129055x20600120},
  volume       = {33},
  year         = {2021},
}

@article{7900,
  abstract     = {Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.},
  author       = {Benedikter, Niels P},
  issn         = {1793-6659},
  journal      = {Reviews in Mathematical Physics},
  number       = {1},
  publisher    = {World Scientific Publishing},
  title        = {{Bosonic collective excitations in Fermi gases}},
  doi          = {10.1142/s0129055x20600090},
  volume       = {33},
  year         = {2021},
}