Publications

17. (with W. Spitzer) Ground-state energy of one-dimensional free Fermi gases in the thermodynamic limit,
    ArXiv
16. (with M. Gebert, H. Küttler, P. Müller) The exponent in the orthogonality catastrophe for Fermi gases,
    J. Spectr. Theory 6 (2016) 643-683
    link ArXiv
15. (with H. Knörr, W. Spitzer) Anderson's orthogonality catastrophe in one dimension induced by a magnetic field,
    J. Phys. A: Math. Theor. 48 (2015) 325202
    ArXiv link
14. (with H. Küttler, W. Spitzer) Anderson's Orthogonality Catastrophe for One-dimensional Systems,
    Ann. Henri Poincaré 15 Issue 9 (September 2014) 1655-1696
    ArXiv link
13. Convergence of Infinite Series in Bosonic Second Quantization,
    ArXiv
12. Boundedness properties of fermionic operators,
    J. Math. Phys. 51, 083503 (2010); (12 pages)
    abstract ArXiv link

    Copyright (2010) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

    The following article appeared in J. Math. Phys. 51, 083503 (2010); doi:10.1063/1.3464264 (12 pages) and may be found at this link .
    Article's pdf file is here
11. (with A. Böttcher) The first Szegő limit theorem for non-selfadjoint operators in the Følner algebra,
    Math. Scand. 97 No. 1 (2005) 115-126
    abstract preprint link
10. An adiabatic theorem for section determinants of spectral projections,
    Math. Nachr. 278 No. 4 (2005) 470-484
    abstract paper link
9. Upper bounds for the spectral radius of the $n\times n$ Hilbert matrix,
   Pacific J. Math. 219 No. 2 (2005) 101-109
   abstract paper link
8. A Fredholm Determinant Formula for Section Determinants of Bounded Operators,
   Integral Equations Operator Theory 49 No. 4 (2004) 499-509
   abstract paper link
7. Enclosure results for second order relative spectra by elementary means
   Proc. Amer. Math. Soc. 132 No. 3 (2004) 827-830
   abstract paper preprint(long version) link
6. An abstract Szegő theorem,
   J. Math. Anal. Appl. 289 No. 1 (2004) 167-179
   abstract paper link
5. Deficiency indices of operator polynomials in creation and annihilation operators,
   J. Math. Phys. 44 No. 12 (2003) 6209-6222
   abstract paper link
4. Section determinants of unitary operators and the operator-valued Riccati differential equation,
   Math. Proc. Cambridge Philos. Soc. 133 No. 2 (2002) 373-382
   abstract paper link
3. An integral formula for section determinants of semi-groups of linear operators,
   J. Phys. A 32 (1999) 3793-3803
   abstract paper link
2. Integralformeln für Abschnittsdeterminanten linearer Operatoren (Integral formulas for section determinants of linear operators),
   PhD thesis, University of Göttingen, 1998
   abstract thesis(german) thesis (english translation) link
1. Defektindices kubischer Operatoren in einer Fockdarstellung (Deficiency indices of cubic operators in a Fock representation),
   diploma thesis, University of Göttingen, 1992 (in german)
   ps.gz file

Conference talks

5. Anderson's Orthogonality Catastrophe
   ICMP12, Aalborg (Denmark), 05-11 August 2012
   slides
4. Second Quantization from a Mathematical Point of View
   SFB-TR12 Meeting, Bad Honnef (Germany), 29-30 June 2009
   slides
3. Diagonalization of the Hilbert matrix
   ICDESFA 2005, Munich (Germany), 25-30 July 2005
   slides
2. An adiabatic theorem for section determinants of spectral projections
   QMath9, Giens (France), 12-16 September 2004
   slides
1. Liouville-type formulae for section determinants and their relation to Szegő limit theorems
   IWOTA 2004, Newcastle upon Tyne (UK), 12-16 July 2004
   slides