Christian Hainzl
E-Mail: hainzl@math.uab.edu
Department of Mathematics
University of Alabama, Birmingham
Campbell Hall
1300 University Boulevard
Birmingham, Al-35294
Tel: +1 (205) 9348547
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Christian HainzlE-Mail: hainzl@math.uab.edu
Department of Mathematics |
- Many body Quantum Mechanics
- Non-relativistic Quantum Electrodynamics
- Nonperturbative Relativistic QED
- Functional Analysis
- Non-linear Dirac-type evolution problems
- The mathematical aspects of the BCS theory of superfluidity
- Stellar Collapse in the time dependent Hartree-Fock approximation, with B. Schlein
- The BCS critical temperature for potentials with negative scattering length, with R. Seiringer
- A non-linear model for relativistic electrons at positive temperature, with M. Lewin, R. Seiringer
- The thermodynamic limit for Quantum Coulomb systems: A new approach, with M. Lewin, J. P. Solovej. Proceedings of QMath10
- Spectral properties of the BCS gap equation of superfluidity, with R. Seiringer. Proceedings of QMath10
- Critical Temperature and Energy Gap for the BCS Equation, with R. Seiringer
- A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics, with M. Lewin, E. Sere, J. P. Solovej. Phys. Rev. A 76, 052104 (2007)
- The critical temperature for the BCS equation at weak coupling, with R. Frank, S. Naboko, R. Seiringer. Journal of Geometric Analysis, 17, No 4, 549-567 (2007)
- The BCS functional for general pair interactions, with E. Hamza, R. Seiringer, J. P. Solovej. to appear in Commun. Math. Phys.
- Existence of Atoms and Molecules in the mean-field approximation of No-photon Quantum Electrodynamics. with M. Lewin, E. Sere, to appear in Arch. Ration. Mech. Anal.
- Mean-field approximation in Quantum Electrodynamics. The no-photon case, with M. Lewin, J. P. Solovej. Commun. Pure Appl. Math. 60 546-596 (2007)
- Self-consistent solution of the polarized vacuum in a no-photon QED model, with M. Lewin, E. Sere. J. Phys. A: Math. Gen. 38, no. 20, 4483--4499 (2005)
- Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation, with M. Lewin, C. Sparber. Lett. Math. Phys. 72, no. 2, 99--113 (2005)
- Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation, with M. Lewin, E. Sere. Commun. Math. Phys. 257, no. 3, 515--562 (2005)
- Binding energy for hydrogen-like atoms in the Nelson model, with M. Hirokawa, H. Spohn. J. Funct. Analysis 220 (2), 424-459 (2005)
- Enhanced binding revisited for a spinless particle in non-relativistic QED, with I. Catto, P. Exner. J. Math. Phys. 45, No. 11, 4174-4185 (2004)
- On the Vacuum Polarization Density Caused by an External Field, Ann. Henri Poincare 5, 1137 - 1157 (2004)
- Non-perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum electrodynamics, with H. Siedentop. Commun. Math. Phys. 243, 241-260 (2003)
- Self-energy of one electron in non-relativistic QED, with I. Catto. J. Funct. Anal. 207 (1), 68-110 (2004)
- Mass renormalization and energy level shift in non-relativistic QED, with R. W. Seiringer. Adv. Theor. Math. Phys. 6, 847 (2002)
- One non-relativistic particle coupled to a photon field, Ann. Henri Poincare 4, 217-237 (2003)
- Enhanced binding through coupling to a photon field, Cont. Math. 307, 149-154, (2002)
- Enhanced binding in non-relativistic QED, with V. Vougalter, S.-A. Vugalter. Commun. Math. Phys. 233, 13-26 (2003)
- General decomposition of radial functions on Rn, and applications to N-body quantum mechanics, with R. W. Seiringer. Lett. Math. Phys. 61, 75-84 (2002)
- Semiclassics in the lowest Landau band, J. Math. Phys. 43, No. 3, 1185-1210 (2002).
- Gradient corrections for semiclassical theories of atoms in strong magnetic fields, J. Math. Phys. 42, No. 12, 5596-5625 (2001).
- Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics, with R. W. Seiringer. Lett. Math. Phys. 55, 133-142. (2001).
- A discrete density matrix theory for atoms in strong magnetic fields, with R. W. Seiringer. Commun. Math. Phys. 217, 229-248 (2001).