Propriétés de la matrice de diffusion, 2-amas 2-amas, pour les problèmes à N corps à longue portée
Quantification relativiste
Quantization effects for a variant of the Ginzburg-Landau type system.
Quantum graph spectra of a graphyne structure
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.
Quantum integrable systems
Quantum optimal control using the adjoint method
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...
Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
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...
Quantum super-integrable systems as exactly solvable models.
Quantum transfer operators and quantum scattering
Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field
Quasi-exactly solvable -body spin Hamiltonians with short-range interaction potentials.
Quaternion quantum theory as a description of tachyons and the symmetry breaking
Radiation conditions and scattering theory for -particle hamiltonians (main ideas of the approach)
Radiation conditions and scattering theory for -particle quantum systems
Rearrangement of lattice particles.
Rectangular potentials in a semi-harmonic background: spectrum, resonances and dwell time.
Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates
Regularity properties of the generalized hamiltonian flow
Regularization of atomic Schrödinger operators with magnetic field.
Relaxation-time limits of global solutions in full quantum hydrodynamic model for semiconductors
This paper is concerned with the global well-posedness and relaxation-time limits for the solutions in the full quantum hydrodynamic model, which can be used to analyze the thermal and quantum influences on the transport of carriers in semiconductor devices. For the Cauchy problem in , we prove the global existence, uniqueness and exponential decay estimate of smooth solutions, when the initial data are small perturbations of an equilibrium state. Moreover, we show that the solutions converge into...