 | (with D. Aldunate, J. Ricaud, and H. Van Den Bosch)
Results on the spectral stability of standing wave solutions of the Soler model in 1-D.
Preprint (2021). Accepted for publications on Communications in Mathematical Physics (2023).
[ arXiv:
2102.11703 [math-ph] ] |
| | (with H. Cornean, D. Krejcirik, T. G. Pedersen, and N. Raymond)
On the two-dimensional quantum confined Stark effect in strong electric fields.
SIAM J. Math. Anal. 54, 2114--2127 (2022).
[ arXiv:
2012.09145 [math-ph] ] |
| | (with T. G. Pedersen, H. Cornean, D. Krejcirik, and N. Raymond)
Stark-localization as a probe of nanostructure geometry.
New. J. Phys 24, 093005 (2022).
[ Link to the
article ] |
| | (with E. Cárdenas , D. Hundertmark, and S. Vugalter)
On the asymptotic dynamics of 2-D magnetic quantum systems.
Ann. Henri Poincaré 22, 415--445 (2021)
[ arXiv:
2006.00134 [math-ph] ] |
| | (with J-M. Barbaroux, L. Le Treust, and N. Raymond)
On the semiclassical spectrum of the Dirichlet-Pauli operator.
JEMS 22(10), 3279--3321 (2021)
[ arXiv:
1810.03344 [math-ph] ] |
| | (with J-M. Barbaroux, H. Cornean, and L. Le Treust)
Resolvent convergence to Dirac operators on planar domains.
Ann. Henri Poincaré 20, 1877--1891 (2019)
[ arXiv:
1810.02957 [math-ph] ] |
| | (with J-M. Barbaroux and H. Cornean)
Spectral gaps in graphene antidot lattices.
Integral Equations and Operator Theory 89, 631--646 (2017)
[ arXiv:
1705.09187 [math-ph] ] |
| | (with S. Vugalter)
Infinite mass boundary conditions for Dirac operators.
Journal of Spectral Theory 9(2), 569--600 (2019).
[ arXiv:
1603.09657 [math-ph] ] |
| | (with R. Benguria, S. Fournais and H. Van Den Bosh)
Self-adjointness of two-dimensional Dirac operators on domains.
Ann. Henri Poincaré 18, 1371 (2017)
[ arXiv:
1601.06607 [math-ph] ] |
| | (with R. Benguria, S. Fournais and H. Van Den Bosh)
Spectral gaps of Dirac operators describing graphene quantum dots.
Mathematical Physics, Analysis and Geometry 20, 11 (2017)
[ arXiv:
1601.06607 [math-ph] ] |
| | (with J-M. Barbaroux, J. Mehringer and A. Taarabt)
Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials.
J. of Diff. Eqs.. 260 (7), 5912-5925 (2016)
[ arXiv:
1504.04077 [math-ph] ] |
| | (with J. Mehringer)
Ballistic dynamics of Dirac particles in electro-magnetic fields.
J. of London Math. Soc. 92 (2), 465-482 (2015)
[ arXiv:
1411.5998 [math-ph] ] |
| | (with J. Mehringer)
Confinement-deconfinement transitions for
two-dimensional Dirac particles.
J. Funct. Anal. 266, 2225-2250 (2014)
[ arXiv:
1210.5158 [math-ph] ] |
|
| (with
M. Könenberg and O. Matte)
Hydrogen-like atoms in relativistic QED.
Complex Quantum Systems: Analysis of Large Coulomb
Systems.
Ed. H. Siedentop, IMS Lecture Notes Series 24, 219-290 (2013).
[ 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. XVIIth International Congress on Mathematical Physics 600-609 (2013), (Proceedings of ICMP12, Aalborg, Denmark, August, 2012).
[ arXiv:
1209.3885 [math.AP] ] |
| |
(with
M. Könenberg)
Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot.
J. Spectral Theory 2, 115-146 (2012).
[ 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: 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: 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).
|