Publications of the project

• J.-M. Barbaroux, S. Vugalter, Contribution of the spin-Zeeman term to the binding energy for hydrogen in non-relativistic QED, Annals of the University of Bucharest 4 (LXII), 323-336, (2013)
• J.-M. Barbaroux, S. Vugalter, Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED. II. The spin case, preprint arXiv.
• J. Faupin, J. Fröhlich and B. Schubnel, Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field, preprint arXiv.
• J. Faupin and I.M. Sigal, Minimal photon velocity bounds in non-relativistc quantum electrodynamics, J. Stat. Phys., to appear.
• J. Faupin and I.M. Sigal, On Rayleigh scattering in non-relativistic quantum electrodynamics, Comm. Math. Phys., to appear.
• V. Jaksic , B. Landon and A. Panati, A note on the notion of reflectionless for Jacobi matrices, preprint arXiv

Some papers related to the thematics of the project

• W.K. Abou Salem, J. Faupin, J. Fröhlich, I.M. Sigal, On the theory of resonances in non-relativistic quantum electrodynamics and related models, Adv. in Appl. Math. 43, 201-230, (2009).
• L. Amour and J. Faupin, Hyperfine splitting in non-relativistic QED: Uniqueness of the dressed hydrogen atom ground state, Comm. Math. Phys., (2013).
• W.H. Aschbacher, Broken translation invariance in quasifree fermionic correlations out of equilibrium, J. Funct. Anal. 260, (2011).
• W.H. Aschbacher, J.-M. Barbaroux, Exponential spatial decay of spin-spin correlations in translation invariant quasi-free states, J. Math. Phys. 48, (2007).
• W.H. Aschbacher, J.-M. Barbaroux, J. Faupin, J.-C. Guillot, Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate vector bosons W+/-, II., Ann. Henri Poincaré 12, 1539-1570, (2011).
• W.H. Aschbacher, V. Jaksic, Y. Pautrat, C.-A. Pillet, Transport properties of quasi-free Fermions, J. Math. Phys. 48, (2007).
• W.H. Aschbacher, C.-A. Pillet, Non-equilibrium steady states of the XY chain, J. Stat. Phys. 112, (2003).
• J.-M. Barbaroux, T. Chen, V. Vougalter, S. Vugalter, Quantitative estimates on the binding energy for Hydrogen in non-relativistic QED, Ann. Henri Poincaré 11, (2010).
• J.-M. Barbaroux, J.-C. Guillot, Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate bosons, Advances in Mathematical Physics 52 pages, (2009).
• J.M. Barbaroux, S. Vugalter, Non analyticity of the ground state energy of the Hamiltonian for Hydrogen atom in nonrelativistic QED, Journal of Physics A: Mathematical and Theoretical 43, (2010).
• J.-F. Bony, J. Faupin, I.M. Sigal, Maximal velocity of photons in non-relativistic QED, Adv. Math., 231, 3054-3078, (2012).
• J.-F. Bony, V. Bruneau, G. Raikov, Counting function of characteristic values and magnetic resonances, preprint arXiv :1109.3985.
• J.-F. Bony, J. Faupin, Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED, J. Funct. Anal. 262, (2012).
• J.-F. Bony, D. Häfner, Local energy decay for several evolution equations on asymptotically euclidean manifolds, Ann. Sci. Ec. Norm. Sup., (2012).
• J.-F. Bony, S. Fujiié, T. Ramond, M. Zerzeri, Spectral projection, residue of the scattering amplitude, and Schrödinger group expansion for barrier-top resonances, Ann. Institut Fourier, (2011).
• N. Boussaid, S. Golénia, Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies, Comm. Math. Phys. 229, (2010).
• T. Chen, J. Faupin, J. Fröhlich, I.M. Sigal, Local Decay in Non-relativistic QED, Comm. Math. Phys., (2012).
• J. Faupin, J.S. Møller, E. Skibsted, Second order perturbation theory for embedded eigenvalues, Comm. Math. Phys. 306, (2011).
• C. Gérard, F. Hiroshima, A. Panati, A. Suzuki, Infrared problem for the Nelson model on static space-times, Comm. Math. Phys. 308, (2011).
• C. Gérard, F. Hiroshima, A. Panati, A. Suzuki, Absence of ground state for the Nelson model on static space-times, J. Funct Anal. 262, (2012).
• C. Gérard, A. Panati, Spectral and scattering theory for space-cutoff P(φ)2 models with variable metric, Ann. Henri Poincaré 8, (2008).
• C. Gérard, A. Panati, Spectral and scattering theory for abstract QFT Hamiltonians, Rev. in Math. Phys. 21, (2009).
• S. Golénia, Positive commutators, Fermi golden rule and the spectrum of the 0 temperature Pauli-Fierz hamiltonians, J. Funct. Anal. 256, (2009).
• S. Golénia, T. Jecko, A new look at Mourre's commutator theory, Complex Anal. Oper. Theory 1, (2007).
• S. Golénia, T. Jecko, Rescaled Mourre's commutator theory and application to Schrödinger operators with Wigner-like potential, Journal of Operator Theory, (2012).
• S. Golénia, S. Moroianu, Spectral analysis of magnetic Laplacians on conformally cusp manifolds, Ann. Henri Poincaré 9, (2008).
• A. Panati, Existence and non existence of a ground state for the massless Nelson model under binding condition, Rep. in Math. Phys. 63, (2009).