Quasi-exactly solvable Schrödinger operators in three dimensions.
Quasigauge spaces with generalized quasipseudodistances and periodic points of dissipative set-valued dynamic systems.
Quasi-probability distribution of nonclassical states in interacting Fock space
In this paper we study approximate quasi-probability distribution functions of nonclassical states such as incoherent states, Kerr states, squeezed states and k-photon coherent states in interacting Fock space.
Quelques remarques au sujet du calcul stochastique sur l'espace de Fock
Quelques résultats de « mécanique stochastique »
Quotient structures in lattice effect algebras
In this paper, we define some types of filters in lattice effect algebras, investigate some relations between them and introduce some new examples of lattice effect algebras. Then by using the strong filter, we find a CI-lattice congruence on lattice effect algebras, such that the induced quotient structure of it is a lattice effect algebra, too. Finally, under some suitable conditions, we get a quotient MV-effect algebra and a quotient orthomodular lattice, by this congruence relation.
q-White noise and non-adapted stochastic integral
The q-white noise is studied as the time derivative of the q-Brownian motion. As an application of the q-white noise, a non-adapted (non-commutative) stochastic integral with respect to the q-Brownian motion is constructed.
-matrice universelle pour et invariant d’entrelacs associé
En utilisant la méthode du double quantique, nous construisons une -matrice universelle pour la quantification de la superalgèbre de Lie . Nous utilisons ce résultat pour construire un invariant d’entrelacs et nous montrons qu’il est égal à une spécialisation du polynôme de Dubrovnik introduit par Kauffman.
Racks and orbits of dressing transformations
A new algebraic structure on the orbits of dressing transformations of the quasitriangular Poisson Lie groups is provided. This gives the topological interpretation of the link invariants associated with the Weinstein-Xu classical solutions of the quantum Yang-Baxter equation. Some applications to the three-dimensional topological quantum field theories are discussed.
Radiation conditions and resolvent estimates for relativistic Schrödinger operators
Radiation conditions and scattering theory for -particle hamiltonians (main ideas of the approach)
Radiation conditions and scattering theory for -particle quantum systems
Radiation reaction, renormalization and Poincaré symmetry.
Random fields on the adele ring and Wilson's renormalization group
Rapidities and observable 3-velocities in the flat Finslerian event space with entirely broken 3D isotropy.
Rate of convergence for large coupling limits by brownian motion
Rational BV-algebra in string topology
Let be a 1-connected closed manifold of dimension and be the space of free loops on . M.Chas and D.Sullivan defined a structure of BV-algebra on the singular homology of , . When the ring of coefficients is a field of characteristic zero, we prove that there exists a BV-algebra structure on the Hochschild cohomology which extends the canonical structure of Gerstenhaber algebra. We construct then an isomorphism of BV-algebras between and the shifted homology . We also prove that the...
Rational string topology
We use the computational power of rational homotopy theory to provide an explicit cochain model for the loop product and the string bracket of a simply connected closed manifold . We prove that the loop homology of is isomorphic to the Hochschild cohomology of the cochain algebra with coefficients in . Some explicit computations of the loop product and the string bracket are given.
Realisation of a class of Markov processes through unitary evolutions in Fock space
Rearrangement of lattice particles.