La formule de Verlinde
La méthode de moyennisation en mécanique semi-classique
La structure de la matrice pour le problème à trois corps
Lagrange functions generating Poisson manifolds of geodesic arcs
Let a smooth finite-dimensional manifold and the manifold of geodesic arcs of a symmetric linear connection on . In a previous paper [Differential Geometry and Applications (Brno, 1995) 603-610 (1996; Zbl 0859.58011)] the author introduces and studies the Poisson manifolds of geodesic arcs, i.e. manifolds of geodesic arcs equipped with certain Poisson structure. In this paper the author obtains necessary and sufficient conditions for that a given Lagrange function generates a Poisson manifold...
Landau-Ginzburg models in real mirror symmetry
In recent years, mirror symmetry for open strings has exhibited some new connections between symplectic and enumerative geometry (A-model) and complex algebraic geometry (B-model) that in a sense lie between classical and homological mirror symmetry. I review the rôle played in this story by matrix factorizations and the Calabi-Yau/Landau-Ginzburg correspondence.
Landau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation
Large deviations and Nelson processes.
Large- expansion method for two-body Dirac equation.
Large time, small coupling behaviour of a quantum particle in a random field
Lattice effect algebras densely embeddable into complete ones
An effect algebraic partial binary operation defined on the underlying set uniquely introduces partial order, but not conversely. We show that if on a MacNeille completion of there exists an effect algebraic partial binary operation then need not be an extension of . Moreover, for an Archimedean atomic lattice effect algebra we give a necessary and sufficient condition for that existing on is an extension of defined on . Further we show that such extending exists at most...
Lattice field theory with the sign problem and the maximum entropy method.
Laws of large numbers and the central limit theorems on a logic
Le papillon de Hofstadter
Le papillon de Hofstadter revisité
Le problème de Cauchy pour les équations de Yang-Mills
Le spin et la relativité restreinte
Left-covariant differential calculi on
We study dimensional left-covariant differential calculi on the quantum group . In this way we obtain four classes of differential calculi which are algebraically much simpler as the bicovariant calculi. The algebra generated by the left-invariant vector fields has only quadratic-linear relations and posesses a Poincaré-Birkhoff-Witt basis. We use the concept of universal (higher order) differential calculus associated with a given left-covariant first order differential calculus. It turns out...
Legendre transforms and -particle irreducibility in quantum field theory : the formalism for fermions
Les équations de Dirac-Fock
Les équations de Dirac-Fock sont l’analogue relativiste des équations de Hartree-Fock. Elles sont utilisées dans les calculs numériques de la chimie quantique, et donnent des résultats sur les électrons dans les couches profondes des atomes lourds. Ces résultats sont en très bon accord avec les données expérimentales. Par une méthode variationnelle, nous montrons l’existence d’une infinité de solutions des équations de Dirac-Fock “sans projecteur", pour des systèmes coulombiens d’électrons dans...
Les moments microlocaux et la régularité des solutions de l'équation de Schrödinger