Propagation estimates for N-body Stark hamiltonians
Tadayoshi Adachi (1995)
Annales de l'I.H.P. Physique théorique
Antoine Bommier (1993)
Annales de l'I.H.P. Physique théorique
A. Unterberger (1991)
Mémoires de la Société Mathématique de France
Ma, Li (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ngoc T. Do, Peter Kuchment (2013)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
We study the dispersion relations and spectra of invariant Schrödinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spectrum, band-gap structure, and Dirac points are provided.
Michael Semenov-Tian-Shansky (1993/1994)
Séminaire Bourbaki
Alfio Borzì (2012)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
Control of quantum systems is central in a variety of present and perspective applications ranging from quantum optics and quantum chemistry to semiconductor nanostructures, including the emerging fields of quantum computation and quantum communication. In this paper, a review of recent developments in the field of optimal control of quantum systems is given with a focus on adjoint methods and their numerical implementation. In addition, the issues of exact controllability and optimal control are...
Michael Melgaard (2003)
Open Mathematics
For fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrödinger operator with a constant magnetic field and an axisymmetrical electric potential V. In various, mostly singular settings, asymptotic expansions for the resolvent of the Hamiltonian H m+Hom+V are deduced as the spectral parameter tends to the lowest Landau threshold. Furthermore, scattering theory for the pair (H m, H om) is established and asymptotic expansions...
Fordy, Allan P. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Stéphane Nonnenmacher (2009/2010)
Séminaire Équations aux dérivées partielles
A. V. Sobolev (1995)
Annales de l'I.H.P. Physique théorique
Enciso, A, Finkel, F., González-López, A., Rodríguez, M.A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Souček, J. (1980)
Abstracta. 8th Winter School on Abstract Analysis
Dimitri R. Yafaev (1992)
Journées équations aux dérivées partielles
D. Yafaev (1991/1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
Muraskin, M. (1993)
International Journal of Mathematics and Mathematical Sciences
Fernández-García, Nicolás, Rosas-Ortiz, Oscar (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Amandine Aftalion, Xavier Blanc (2008)
Annales de l'I.H.P. Analyse non linéaire
L. Stoyanov (1992/1993)
Séminaire Équations aux dérivées partielles (Polytechnique)
Bernard Helffer, Heinz Siedentop (1995)
Mathematische Zeitschrift