Solutions globales des systèmes de Dirac-Klein-Gordon
Solutions of initial value problems for a pair of linear first order ordinary differential systems with interface-spatial conditions.
Solutions of the central Woods-Saxon potential in case using mathematical modification method.
Solutions of the Dirac-Fock equations without projector
In this paper we prove the existence of infinitely many solutions of the Dirac-Fock equations with electrons turning around a nucleus of atomic charge , satisfying and , where is the fundamental constant of the electromagnetic interaction (approximately 1/137). This work is an improvement of an article of Esteban-Séré, where the same result was proved under more restrictive assumptions on .
Solvable lattice model and representation theory of quantum affine algebras.
Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics.
Solvable two-body Dirac equation as a potential model of light mesons.
Some abstract properties of semigroups appearing in superconformal theories.
Some additional remarks on Fock space stochastic calculus
Some comments on a cubic algebra
Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation.
Some distributivities in GBbi-QRs characterizing Boolean rings
This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.
Some new Results for Additive Self-Dual Codes over GF(4)
* Supported by COMBSTRU Research Training Network HPRN-CT-2002-00278 and the Bulgarian National Science Foundation under Grant MM-1304/03.Additive code C over GF(4) of length n is an additive subgroup of GF(4)n. It is well known [4] that the problem of finding stabilizer quantum error-correcting codes is transformed into problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to construct good additive self-dual codes of length 13...
Some non-markovian Osterwalder-Schrader fields
Some properties of Riesz means and spectral expansions. (With an appendix by R. A. Gustafson).
Some remarks on double-wells in one and three dimensions
Some remarks on Gleason measures
This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hilbert spaces.
Some remarks on quantum and braided group gauge theory
We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzeziński and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. The bosonisation of any braided group provides us a trivial principal bundle in three ways.
Some remarks on the index theorem approach to anomalies
Some results about dissipativity of Kolmogorov operators
Given a Hilbert space with a Borel probability measure , we prove the -dissipativity in of a Kolmogorov operator that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.