Fachbereich Mathematik

Prof. Dr. Christian Hainzl

fotoHainzlKontakt / Contact Information

Prof. Dr. Christian Hainzl
Universität Tübingen
Fachbereich Mathematik
AB Mathematische Physik
Auf der Morgenstelle 10
72076 Tübingen

Raum: C4 P39
Tel: +49 (0)7071 29 78563
Fax: +49 (0)7071 29 5036
E-Mail: christian.hainzl at uni-tuebingen.de


Lehrveranstaltungen / Current Courses

Wintersemester 2018/19

Archiv ab SS 2015

Forschungsinteressen und Projekte / Research Interests and Projekts



  • 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
  • Gravitational systems
  • Dirac's equation coupled to Einstein's theory of gravity

    Wissenschaftliche Veröffentlichungen / Publications

    C. Hainzl, M. Loss
    General pairing mechanisms in the BCS-theory of superconductivity

    A. Deuchert, A. Geisinger, C. Hainzl, M. Loss
    Persistence of translational symmetry in the BCS model with radial pair interaction

    G. Bräunlich, C. Hainzl, R. Seiringer
    Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit
    Math. Phys. Anal. Geom. 19, Art. 13 (2016)

    C. Hainzl, R. Seiringer
    The BCS functional of superconductivity and its mathematical properties
    J. Math. Phys. 57, 021101 (2016)

    R. Frank, C. Hainzl, B. Schlein, R. Seiringer
    Incompatibility of time-dependent Bogoliubov-de-Gennes and Ginzburg-Landau equations
    Lett. Math. Phys. 106, 913-923 (2016)

    C. Hainzl, J. Seyrich
    Comparing the full time-dependent Bogoliubov--de-Gennes equations to their linear
    approximation: A numerical investigation

    Eur. Phys. J. B 89, No. 5 (2016)

    R. Frank, C. Hainzl, R. Seiringer, J. P. Solovej
    The external field dependence of the BCS critical temperature
    Commun. Math. Phys. 342, 189 (2016)

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    Vorlesungsskripte / Lecture Scripts