A singular lagrangian model for N-body relativistic interactions
A spectral theorem for MV-algebras
MV-algebras were introduced by Chang, 1958 as algebraic bases for multi-valued logic. MV stands for “multi-valued" and MV algebras have already occupied an important place in the realm of nonstandard (mathematical) logic applied in several fields including cybernetics. In the present paper, using the Loomis–Sikorski theorem for -MV-algebras, we prove that, with every element in a -MV algebra , a spectral measure (i. e. an observable) can be associated, where denotes the Boolean -algebra...
A spectral theory for order unit spaces
A stochastic scheme for constructing solutions of the Schrödinger equations
A study of independence in a set with orthogonality
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
A survey on Nambu-Poisson brackets.
A tauberian theorem in quantum mechanical inverse scattering theory
A theory of local negation: the model and some applications.
A trace formula for resonances and application to semi-classical Schrödinger operators
On décrit une formule de trace [S] pour les résonances, qui est valable en toute dimension et pour les perturbations à longue portée du Laplacien. On établit une nouvelle application à l’éxistence de nombreuses résonances pour des opérateurs de Schrödinger semi-classiques.
A Two-Particle Quantum System with Zero-Range Interaction
We study a two-particle quantum system given by a test particle interacting in three dimensions with a harmonic oscillator through a zero-range potential. We give a rigorous meaning to the Schrödinger operator associated with the system by applying the theory of quadratic forms and defining suitable families of self-adjoint operators. Finally we fully characterize the spectral properties of such operators.
A -representation with no quantum symmetric algebra
We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.
A unification of Knizhnik-Zamalodchikov and Dunkl operators via affine Hecke algebras.
A unified construction of the Alexander- and the Jones-invariant
A unified model of phantom energy and dark matter.
A vertex operator approach for form factors of Belavin's -symmetric model and its application.
About duality and Killing tensors
Summary: In this paper the isometries of the dual space were investigated. The dual structural equations of a Killing tensor of order two were found. The general results are applied to the case of the flat space.
About poles of the resolvent, in a model for a harmonic oscillator coupled with massless scalar bosons
About the adiabatic stability of resonant states
absence de résonance près du réel pour l’opérateur de Schrödinger
On donne dans cet exposé des bornes inférieures universelles, en limite semiclassique, de la hauteur des résonances de forme associées aux opérateurs de Schrödinger à l’extérieur d’obstacles avec des conditions au bord de Dirichlet ou de Neumann et des potentiels analytiquement dilatables et tendant vers à l’infini. Ces bornes inférieures sont exponentiellement petites par rapport à la constante de Planck.