Preprints

1. S. Breteaux, J. Faupin and J. Payet, Quasi-classical Ground States. I. Linearly Coupled Pauli-Fierz Hamiltonians, Preprint, (2022).
2. J. Faupin and N. Frantz, Spectral decomposition of some non-self-adjoint operators, Preprint, (2022).
3. J. Dereziński and J. Faupin, Perturbed Bessel operators, Preprint, (2021).

Published articles

1. S. Breteaux, J. Faupin, M. Lemm and I.M. Sigal, Maximal speed of propagation in open quantum systems., Frank, Rupert L. (ed.) et al., The physics and mathematics of Elliott Lieb. The 90th anniversary. Volume I. Berlin: European Mathematical Society (EMS), 109-130, (2022).
   Preprint
2. J. Faupin, M. Lemm and I.M. Sigal, On Lieb-Robinson bounds for the Bose-Hubbard model, Comm. Math. Phys., 394, 1011-1037, (2022).
   Preprint
3. J. Faupin, M. Lemm and I.M. Sigal, Maximal speed for macroscopic particle transport in the Bose-Hubbard model, Phys. Rev. Lett., 128, 150602, (2022).
   Preprint
4. J. Faupin, Generic nature of asymptotic completeness in dissipative scattering theory, Rev. Math. Phys., 33, 2060001, 23 pp, (2021).
   Preprint
5. J. Dereziński, J. Faupin, Q.N. Nguyen, S. Richard, On radial Schrödinger operators with a Coulomb potential: General boundary conditions, Adv. Op. Theor., 5, 1132-1192, (2020).
   Preprint
6. M. Ballesteros, D.-A. Deckert, J. Faupin and F. Hänle, One-Boson Scattering Processes in the Massive Spin-Boson Model, J. Math. Anal. Appl., 489, 124094, 44 pp., (2020).
   Preprint
7. B. Alvarez and J. Faupin, Scattering theory for mathematical models of the weak interaction, Rev. Math. Phys., 32, 2050002, 80 pp., (2020).
   Preprint
8. J. Faupin and F. Nicoleau, Scattering matrices for dissipative quantum systems, J. Funct. Anal., 277, 3062-3097, (2019).
   Preprint
9. B. Alvarez, J. Faupin and J.-C. Guillot, Hamiltonian models of interacting fermion fields in Quantum Field Theory, Lett. Math. Phys., 109, 2403-2437, (2019).
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10. J.-M. Barbaroux, J. Faupin and J.-C. Guillot, Local Decay for Weak Interactions with Massless Particles, J. Spectr. Theory, 9, 453-512, (2019).
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11. J. Faupin and J. Fröhlich, Asymptotic completeness in dissipative scattering theory, Adv. Math., 340, 300-362, (2018).
    Preprint
12. S. De Bièvre, J. Faupin and B. Schubnel, Spectral Analysis of a Model for Quantum Friction, Rev. Math. Phys., 29, 1750019, (2017).
    Preprint
13. M. Falconi, J. Faupin, J. Fröhlich and B. Schubnel, Scattering Theory for Lindblad Master Equations, Comm. Math. Phys., 350, 1185-1218, (2017).
    Preprint
14. J.-M. Barbaroux, J. Faupin and J.-C. Guillot, Spectral theory near thresholds for weak interactions with massive particles, J. Spectr. Theory, 6, 505-555, (2016).
    Preprint
15. J. Faupin, J. Fröhlich and B. Schubnel, On the probabilistic nature of quantum mechanics and the notion of closed systems, Ann. Henri Poincaré, 17, 689-731, (2016).
    Preprint
16. M. Ballesteros, J. Faupin, J. Fröhlich and B. Schubnel, Quantum electrodynamics of atomic resonances, Comm. Math. Phys., 337, 633-668, (2015).
    Preprint
17. J. Faupin, J. Fröhlich and B. Schubnel, Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field, J. Funct. Anal., 267, 4139-4196, (2014).
    Preprint
18. J. Faupin and I.M. Sigal, Minimal photon velocity bounds in non-relativistc quantum electrodynamics, J. Stat. Phys., 154, 58-90, (2014).
    Preprint
19. J. Faupin and I.M. Sigal, On Rayleigh scattering in non-relativistic quantum electrodynamics, Comm. Math. Phys., 328, 1199-1254, (2014).
    Preprint
20. L. Amour and J. Faupin, Inverse spectral results in Sobolev spaces for the AKNS operator with partial informations on the potentials, Inverse Probl. Imaging, 7, 1115-1122, (2013).
    Preprint
21. V. Bach, T. Chen, J. Faupin, J. Fröhlich and I.M. Sigal, Effective dynamics of an electron coupled to an external potential in non-relativistic QED, Ann. Henri Poincaré, 14, 1573-1597, (2013).
    Preprint
22. L. Amour and J. Faupin, Hyperfine splitting in non-relativistic QED: Uniqueness of the dressed hydrogen atom ground state, Comm. Math. Phys., 319, 425-450, (2013).
    Preprint
23. J.-F. Bony, J. Faupin and I.M. Sigal, Maximal velocity of photons in non-relativistic QED. Adv. Math., 231, 3054-3078, (2012).
    Preprint
24. J.-F. Bony and J. Faupin, Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED, J. Funct. Anal., 262, 850-888, (2012).
    Preprint
25. T. Chen, J. Faupin, J. Fröhlich and I.M. Sigal, Local Decay in Non-relativistic QED, Comm. Math. Phys., 309, 543-583, (2012).
    Preprint
26. W.H. Aschbacher, J.-M. Barbaroux, J. Faupin, and J.-C. Guillot, Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-. II, Ann. Henri Poincaré, 12, 1539-1570, (2011).
    Preprint
27. L. Amour and J. Faupin, Hyperfine Splitting of the Dressed Hydrogen Atom Ground State in Non-relativistic QED, Rev. Math. Phys., 23, 553-574, (2011).
    Preprint
28. J. Faupin, J.S. Møller and E. Skibsted, Second order perturbation theory for embedded eigenvalues, Comm. Math. Phys., 306, 193-228, (2011).
    Preprint
29. J. Faupin, J.S. Møller and E. Skibsted, Regularity of bound states, Rev. Math. Phys., 23, 453-530, (2011).
    Preprint
30. L. Amour and J. Faupin, Inverse spectral results for the Schrödinger operator in Sobolev spaces, Int. Math. Res. Not., 22, 4319-4333, (2010).
    Preprint
31. L. Amour, J. Faupin and T. Raoux, Inverse Spectral Results for Schrödinger Operators on the Unit Interval with Partial Informations Given on the Potentials, J. Math. Phys., 50, 033505, (2009).
    Preprint
32. W.K. Abou Salem, J. Faupin, J. Fröhlich and I.M. Sigal, On the Theory of Resonances in Non-Relativistic QED and Related Models, Adv. in Appl. Math., 43, 201-230, (2009).
    Preprint
33. L. Amour, J. Faupin, B. Grébert and J-C. Guillot, On the Infrared Problem for the Dressed Non-Relativistic Electron in a Magnetic Field, Contemp. Math., 500, Amer. Math. Soc., Providence, RI, 1-24, (2009).
    Preprint
34. L. Amour, J. Faupin, B. Grébert and J-C. Guillot, Le problème infrarouge pour l’électron habillé non relativiste dans un champ magnétique, C. R. Acad. Sc. Paris, Ser. I, 346, 1045-1050, (2008).
    Preprint
35. J. Faupin, Resonances of the Confined Hydrogen Atom and the Lamb-Dicke Effect in Non-Relativistic QED, Ann. Henri Poincaré, 9, no 4, 743-773, (2008).
    Preprint
36. L. Amour and J. Faupin, The confined hydrogenoïd ion in non-relativistic quantum electrodynamics, Cubo Math. J., 9, no 2, 103-137, (2007).
    Preprint
37. L. Amour and J. Faupin, L’ion hydrogénoïde piégé en électrodynamique quantique non relativiste, C. R. Acad. Sc. Paris, Ser. I, 343, 27-30, (2006).
    Preprint

Proceedings

1. J.-M. Barbaroux, J. Faupin and J.-C. Guillot, Spectral properties for Hamiltonians of weak interactions, Oper. Theory Adv. Appl., 254, (2016).
   Preprint
2. L. Amour and J. Faupin, On the Existence of a Ground State for the Confined Hydrogen Atom in Non-Relativistic QED, Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems, Aarhus, Denmark, 19-20 March 2007, AIP Conference Proceedings, 998, 30-42, (2008).
   Preprint

Theses

• J. Faupin, L’ion hydrogénoïde confiné en électrodynamique quantique non relativiste. Effet Lamb-Dicke, Thèse de l’Université de Reims Champagne Ardenne, (2007). pdf
• J. Faupin, Contributions à l’analyse mathématique de modèles issus de la théorie quantique des champs, Habilitation à diriger les recherches, Université Bordeaux 1, (2012). pdf

• Dissipative quantum systems: scattering theory and spectral singularities, pdf
• Asymptotic completeness in dissipative scattering theory, pdf
• On Scattering theory for Lindblad operators pdf
• On Quantum Electrodynamics of atomic resonances, pdf
• Estimations de la vitesse de propagation des photons et complétude asymptotique, pdf
• On spectral renormalization group and the theory of resonances in non-relativistic QED, pdf
• On second order perturbation theory for embedded eigenvalues, pdf
• Analyse spectrale du modèle de l’électron habillé en QED non relativiste, pdf
• Résonances et temps de vie des états métastables en QED non relativiste, pdf