Publications and Preprints

Papers

(with M. Könenberg)
Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot.
J. Spectral Theory 2, 115-146 (2012).

[ arXiv:  arXiv:1111.4549v1 [math-ph]  ]

(with A. Dall'Acqua, S. Fournais, and T. Ø. Sørensen)
Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals.
Analysis & PDE 5-3, 657-691 (2012).

[ arXiv:  arXiv: 1103.5026 [math-ph] ]

(with O. Matte and M. Könenberg)
Existence of ground states of hydrogen-like atoms in relativistic QED II: The no-pair operator.
J. Math. Phys. 52, 123501 (2011).

[ arXiv:  arXiv: 1005.2109 [math-ph] ]

(with O. Matte and M. Könenberg)
Existence of ground states of hydrogen-like atoms in relativistic QED I: The semi-relativistic Pauli-Fierz operator.
Rev. Math. Phys. 23, 375-407 (2011).

[ arXiv:  0912.4223[math-ph] ]

(with R. Egger, A. De Martino, and H. Siedentop)
Multiparticle equations for interacting Dirac Fermions in magnetically confined graphene quantum dots
J. Phys. A: Math. Gen. 43, 215202 (2010).

[ arXiv:  1001.3761[cond-mat.mes-hall] ]

(with O. Matte)
Spectral theory of no-pair Hamiltonians.
Rev. Math. Phys. 22,   1  -  53   (2010).

[ arXiv:  0803.1652v1[math-ph] ]

(with O. Matte)
Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics.
Comm. Math. Phys. 295,   551  -  583   (2010).

[ arXiv:  arXiv:0904.3083v1 [math-ph] ]

(with O. Matte)
On the eigenfunctions of no-pair operators in classical magnetic fields,
Integral Equations and Operator Theory 65,   255  -  283   (2009).

[ arXiv:  0810.4897v1[math-ph] ]

(with A. Dall'Acqua and T. Ø. Sørensen)
Hartree-Fock theory for pseudorelativistic atoms,
Ann. Henri Poincaré 9,  711  -  742  (2008).

[ arXiv:  0707.4612v1[math-ph] ]

(with H. Zenk)
Dirac operators coupled to quantized radiation field: Essential self-adjointness à la Chernoff,
Lett. Math. Phys.83,  58  -  68  (2008).
(with T. Ø. Sørensen)
On the convergence of eigenfunctions to threshold energy states,
Proc. R. Soc. Edinb., Sect. A, Math. 138,  169  -  188  (2008).

[ arXiv:  math-ph/0604015 ]

(with M. Huber)
Perturbative Implementation of the Furry Picture ,
Lett. Math. Phys. 79,  99  -  108  (2007).
(with H. Siedentop)
The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of Dirac Operators
Ann. Henri Poincaré 7,  45  -  58  (2006).
(with H. Siedentop)
An analytic Douglas-Kroll-Heß method,
Phys. Lett. A 341,  473  -  478  (2005).
(with O. Espinosa)
Operator representation for Matsubara sums,
Phys. Rev. D 69,  065004  (2004).
(with R. Brummelhuis and H. Siedentop)
The Ground State Energy of Relativistic One-Electron Atoms According to Jansen and Heß,
Doc. Math 7,  167  -  182  (2002).
(with R. Benguria and H. Siedentop)
Dissociation of Homonuclear Relativistic Molecular Ions ,
Ann. Henri Poincaré 2,  27  -  40  (2001).

Preprints

(with M. Könenberg and O. Matte)
Hydrogen-like atoms in relativistic QED. Preprint 64 pp. (2012).

[ arXiv:  arXiv:1207.5134 [math-ph] ]

(with A. Dall'Acqua, S. Fournais, and T. Ø. Sørensen)
Real analyticity of solutions to Schrödinger equations involving a fractional Laplacian and other Fourier multipliers. Preprint 10 pp. (2012).

[ arXiv:  arXiv:1209.3885 [math.AP] ]

(with J. Mehringern)
Confinement-deconfinement transitions for two-dimensional Dirac particles Preprint 21 pp. (2012).

[ arXiv:  arXiv:1210.5158 [math-ph] ]

On the non-relativistic limit of a model in quantum electrodynamics. Preprint 13 pp. (2009).

[ arXiv:  arXiv:0905.1006 [math-ph] ]