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