Home Page - Thomas Chen

1. Effective dynamics of an electron coupled to an external potential in non-relativistic QED
   (with V. Bach, J. Faupin, J. Fröhlich and I.M. Sigal) Preprint. mp_arc (24 pages)


2. On the well-posedness of the semi-relativistic Schrodinger-Poisson system
   (with W. Abou Salem and V. Vougalter) Preprint. arxiv (14 pages)


3. Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy
   (with N. Pavlovic and N. Tzirakis) Preprint. arxiv (27 pages)


4. Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in d=2,3 based on spacetime norms
   (with N. Pavlovic) Preprint. arxiv (44 pages)


5. A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda type estimate
   (with N. Pavlovic) Commun. Math. Phys., accepted. arxiv (15 pages)


6. Charge Transport in Random Media and Boltzmann Limits for Single Particle and Manybody Models
   RIMS Kokyuroku Bessatsu B21, 63 - 108, 2011. Preprint (45 pages)


7. Local decay in non-relativistic QED
   (with J. Faupin, J. Fröhlich and I.M. Sigal) Commun. Math. Phys., 309 (2), 543 - 582, 2012. Journal (40 pages). arXiv


8. Recent results on the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
   (with N. Pavlovic) Math. model. nat. phenom. Vol. 5, No. 4 (2010).
   Issue on spectral problems, dedicated to the memory of M. Birman (V. Volpert, A. Laptev et al., eds.). Journal.


9. Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium
   (with I. Rodnianski) J. Stat. Phys., 142 (5), 1000 - 1051, 2011. Journal (52 pages). arXiv.


10. A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies
    (with N. Pavlovic) Proc. Amer. Math. Soc., to appear. mp_arc (15 pages).


11. Higher order energy conservation and global wellposedness of solutions for Gross-Pitaevskii hierarchies
    (with N. Pavlovic) Submitted. arxiv (36 pages).


12. Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies
    (with N. Pavlovic and N. Tzirakis) Ann. Inst. H. Poincare (C) Anal. Non-Lin., 27 (5), 1271-1290, 2010. Journal (24 pages). arXiv.


13. On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
    (with N. Pavlovic) Discr. Contin. Dyn. Syst. A, 27 (2), 715 - 739, 2010. Journal (25 pages). arXiv.


14. The quintic NLS as the mean field limit of a Boson gas with three-body interactions
    (with N. Pavlovic) J. Funct. Anal., 260 (4), 959-997, 2011. Journal (39 pages). arXiv.


15. Quantitative estimates on the hydrogen ground state energy in non-relativistic QED
    (with J.-M. Barbaroux, V. Vougalter and S. A. Vugalter) Ann. H. Poincare, 11 (8), 1487-1544, 2010. Journal (58 pages), arXiv.


16. Boltzmann limit and quasifreeness for a homogenous Fermi gas in a weakly disordered random medium
    (with I. Sasaki) J. Stat. Phys., 132 (2), 329-353, 2008. Journal (25 pages). arXiv.


17. Infraparticle scattering states in non-relativistic QED - II. Mass shell properties
    (with J. Fröhlich and A. Pizzo) J. Math. Phys., 50 (1), 012103, 2009. Journal (34 pages). arXiv


18. Infraparticle scattering states in non-relativistic QED - I. The Bloch-Nordsieck paradigm
    (with J. Fröhlich and A. Pizzo) Commun. Math. Phys., 294 (3), 761 - 825, 2010. Journal (65 pages). arXiv


19. Infrared renormalization in non-relativistic QED and scaling criticality
    J. Funct. Anal., 254 (10), 2555 - 2647, 2008. Journal (93 pages). arXiv.


20. On the ground state energy of the translation invariant Pauli Fierz model
    (with J.-M. Barbaroux, V. Vougalter and S. A. Vugalter) Proc. Amer. Math. Soc., 136 (20), 2008. Journal (8 pages). arXiv.


21. Coherent infrared representations in non-relativistic QED
    (with J. Fröhlich) Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday.
    Proc. Symp. Pure Math., AMS, 25 - 45, 2007 (refereed research article, 21 pages). arXiv.


22. The renormalized electron mass in non-relativistic QED
    (with V. Bach, J. Fröhlich and I. M. Sigal) J. Funct. Anal., 243 (2), 426 - 535, 2007. Journal (110 pages). arXiv.


23. Convergence in higher mean of a random Schrödinger to a linear Boltzmann evolution
    Comm. Math. Phys., 267, 355-392, 2006. Journal (38 pages). arXiv.


24. Localization lengths for Schrödinger operators on Z^2 with decaying random potentials
    Int. Math. Res. Notices, 2005:54, 3341-3373, 2005. Journal (33 pages). arXiv.


25. Localization lengths and Boltzmann limit for the Anderson model at small disorders in dimension 3
    J. Stat. Phys., 120 (1-2), 279-337, 2005. Journal (59 pages). arXiv.


26. Long-time dynamics and localization lengths in the 3-D Anderson model at weak disorders
    Proceedings of the International Congress on Mathematical Physics 2003, World Scientific, 2005.


27. Critical manifolds and stability in Hamiltonian systems with non-holonomic constraints
    J. Geom. Phys., 49 (3-4), 418 - 462, 2004. Journal (45 pages). arXiv.


28. Smooth Feshbach map and operator-theoretic renormalization group methods
    (with V. Bach, J. Fröhlich and I. M. Sigal) J. Funct. Anal., 203 (1), 44-92, 2003. Journal (49 pages). mp_arc.


29. The decay of unstable noncommutative solitons
    (with J. Fröhlich and J. Walcher) Comm. Math. Phys., 237 (1-2), 243-269, 2003. Journal (27 pages). arXiv.


30. Binding conditions for atomic N-electron systems in non-relativistic QED
    (with J.-M. Barbaroux and S. A. Vugalter) Ann. H. Poinc., 4 (6), 1101 - 1136, 2003. Journal (36 pages). arXiv.


31. The increase of binding energy and enhanced binding in non-relativistic QED
    (with V. Vougalter and S. A. Vugalter) J. Math. Phys., 44 (5), 1961-1970, 2003. Journal (10 pages). arXiv.


32. The Haag-Lopuszanski-Sohnius theorem
    (with J. Fuchs) Concise encyclopedia of supersymmetry, J. Bagger, S. Duplij, W. Siegel (eds.), Kluwer, 2003.


33. Dynamical behaviour of a constrained system near a singularity of the configuration space
    (with H. Brauchli) Proc. 4th World Congr. Comp. Mech. (WCCM IV), Buenos Aires, 1998.


34. Renormalization group methods: Landau-Fermi liquid and BCS superconductor
    (with J. Fröhlich and M. Seifert) LXII Les Houches summer schools, Elsevier, 1996. arXiv


35. Operator-theoretic infrared renormalization and construction of dressed one-particle states in non-relativistic QED
    Ph.D. Thesis, Diss-ETH 14203, 2001. arxiv (139 pages)


36. Non-holonomy, critical manifolds and stability in constrained Hamiltonian systems
    Ph.D. Thesis, Diss-ETH 13017, 1999.