Home Page - Thomas Chen




Department of Mathematics
University of Texas at Austin
1 University Station C1200
Austin, TX 78712

Office: RLM 12.138
Phone: (512) 471 7180

Email: t c A_T m a t h . u t e x a s . e d u

Research in Analysis and Mathematical Physics






Publications

CV


Current research interests: Spectral and dynamical problems in quantum field theory, random Schrödinger equations,
renormalization group methods, mean field and macroscopic scaling limits of quantum dynamics, Hamiltonian dynamics.

Some of the journal articles differ noticeably from the version on the preprint server.


  1. (with N. Pavlovic and N. Tzirakis) In preparation.

  2. (with N. Pavlovic) In preparation.

  3. Local decay in non-relativistic QED
    (with J. Faupin, J. Fröhlich and I.M. Sigal) Preprint. arXiv (42 pages).

  4. Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium
    (with I. Rodnianski) Preprint. arXiv (53 pages).

  5. A short proof of local wellposedness for focusing and defocusing Gross-Pitaevskii hierarchies
    (with N. Pavlovic) Submitted. arXiv (11 pages).

  6. Higher order energy conservation, Gagliardo-Nirenberg-Sobolev inequalities, and global wellposedness for Gross-Pitaevskii hierarchies
    (with N. Pavlovic) Submitted. arXiv (24 pages).

  7. Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies
    (with N. Pavlovic and N. Tzirakis) Submitted. arXiv (24 pages).

  8. On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
    (with N. Pavlovic) Submitted. arXiv (28 pages).

  9. The quintic NLS as the mean field limit of a Boson gas with three-body interactions
    (with N. Pavlovic) Submitted. arXiv (29 pages).

  10. Quantitative estimates on the hydrogen ground state energy in non-relativistic QED
    (with J.-M. Barbaroux, V. Vougalter and S. A. Vugalter) Submitted. arXiv (47 pages).

  11. 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.

  12. 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

  13. Infraparticle scattering states in non-relativistic QED - I. The Bloch-Nordsieck paradigm
    (with J. Fröhlich and A. Pizzo) Commun. Math. Phys., accepted. arXiv (72 pages)

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

  15. 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.

  16. 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.

  17. 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.

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

  19. 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.

  20. 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.

  21. 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.

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

  23. 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.

  24. 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.

  25. 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.

  26. 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.

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

  28. 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.

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