@article{2350,
  abstract     = {Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge Z and in presence of the quantized radiation field. We consider the case of small coupling constant α, but fixed Zα and ultraviolet cut-off Λ. We prove that after renormalizing the mass the binding energy has, to leading order in α, a finite limit as Λ goes to infinity; i.e., the cut-off can be removed. The expression for the ground state energy shift thus obtained agrees with Bethe's formula for small values of Zα, but shows a different behavior for bigger values.},
  author       = {Hainzl, Christian and Seiringer, Robert},
  issn         = {1095-0761},
  journal      = {Advances in Theoretical and Mathematical Physics},
  number       = {5},
  pages        = {847 -- 871},
  publisher    = {International Press},
  title        = {{Mass renormalization and energy level shift in non-relativistic QED}},
  doi          = {10.4310/ATMP.2002.v6.n5.a3},
  volume       = {6},
  year         = {2002},
}

@article{2736,
  abstract     = {We consider the time evolution of N bosonic particles interacting via a mean field Coulomb potential. Suppose the initial state is a product wavefunction. We show that at any finite time the correlation functions factorize in the limit N → ∞. Furthermore, the limiting one particle density matrix satisfies the nonlinear Hartree equation. The key ingredients are the uniqueness of the BBGKY hierarchy for the correlation functions and a new apriori estimate for the many-body Schrödinger equations.},
  author       = {Erdös, László and Yau, Horng},
  issn         = {1095-0761},
  journal      = {Advances in Theoretical and Mathematical Physics},
  number       = {6},
  pages        = {1169 -- 1205},
  publisher    = {International Press},
  title        = {{Derivation of the nonlinear Schrödinger equation from a many body Coulomb system}},
  doi          = {10.48550/arXiv.math-ph/0111042},
  volume       = {5},
  year         = {2001},
}

@article{1450,
  abstract     = {In this paper we consider the topological side of a problem which is the analogue of Sen's S-duality testing conjecture for Hitchin's moduli space M of rank 2 stable Higgs bundles of fixed determinant of odd degree over a Riemann surface ∑. We prove that all intersection numbers in the compactly supported cohomology of M vanish, i.e. "there are no topological L2 harmonic forms on M". This result generalizes the well known vanishing of the Euler characteristic of the moduli space of rank 2 stable bundles N of fixed determinant of odd degree over ∑. Our proof shows that the vanishing of all intersection numbers of H* cpt(M) is given by relations analogous to the Mumford relations in the cohomology ring of N.},
  author       = {Hausel, Tamas},
  issn         = {1095-0761},
  journal      = {Advances in Theoretical and Mathematical Physics},
  number       = {5},
  pages        = {1011 -- 1040},
  publisher    = {International Press},
  title        = {{Vanishing of intersection numbers on the moduli space of Higgs bundles}},
  doi          = {10.4310/ATMP.1998.v2.n5.a3},
  volume       = {2},
  year         = {1998},
}