Local transition functions of quantum Turing machines
Local Transition Functions of Quantum Turing Machines
Foundations of the notion of quantum Turing machines are investigated. According to Deutsch's formulation, the time evolution of a quantum Turing machine is to be determined by the local transition function. In this paper, the local transition functions are characterized for fully general quantum Turing machines, including multi-tape quantum Turing machines, extending the results due to Bernstein and Vazirani.
Localisation for the spin J-boson hamiltonian
Localisation pour des opérateurs de Schrödinger aléatoires dans : un modèle semi-classique
Dans , nous démontrons un résultat de localisation exponentielle pour un opérateur de Schrödinger semi-classique à potentiel périodique perturbé par de petites perturbations aléatoires indépendantes identiquement distribuées placées au fond de chaque puits. Pour ce faire, on montre que notre opérateur, restreint à un intervalle d’énergie convenable, est unitairement équivalent à une matrice aléatoire infinie dont on contrôle bien les coefficients. Puis, pour ce type de matrices, on prouve un résultat...
Localisation pour l'opérateur de Schrödinger aléatoire dans un ruban
Localization of light particles on fermion induced domain walls.
Localization of the essential spectrum for relativistic -electron ions and atoms.
Logarithmic asymptotic behaviour of the renormalized G-convolution product in four-dimensional euclidean space
Logical cover spaces
Logics with separating sets of measures
Long range scattering and modified wave operators for Hartree equations
We study the theory of scattering for the Hartree equation with long range potentials. We prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.
Long range scattering with Stark effect and almost periodic potentials.
Long-range many-body scattering.
Long-range scattering of two- and three-body quantum systems
Lorentz-invariant quantum fields in the space-time tangent bundle.
Lower bounds for the infimum of the spectrum of the Schrödinger operator in and the Sobolev inequalities.
Lower bounds on wave packet propagation by packing dimensions of spectral measures.
Lower bounds to Feynman integrals and class
Low-rank tensor representation of Slater-type and Hydrogen-like orbitals
The paper focuses on a low-rank tensor structured representation of Slater-type and Hydrogen-like orbital basis functions that can be used in electronic structure calculations. Standard packages use the Gaussian-type basis functions which allow us to analytically evaluate the necessary integrals. Slater-type and Hydrogen-like orbital functions are physically more appropriate, but they are not analytically integrable. A numerical integration is too expensive when using the standard discretization...
Lyapunov control of a quantum particle in a decaying potential