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.
Absence of geometrical phases in the rotating stark effect
Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others.
Absolute spectral continuity for N-body Stark hamiltonians
Absolutely continuous and singular spectral shift functions [Book]
Abstract physical traces.
Acceleration of material waves in Fermi accelerator.
Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian
Motivated by the theory of superconductivity and more precisely by the problem of the onset of superconductivity in dimension two, many papers devoted to the analysis in a semi-classical regime of the lowest eigenvalue of the Schrödinger operator with magnetic field have appeared recently. Here we would like to mention the works by Bernoff-Sternberg, Lu-Pan, Del Pino-Felmer-Sternberg and Helffer-Morame and also Bauman-Phillips-Tang for the case of a disc. In the present paper we settle one important...
Accurate WKB Approximation for a 1D Problem with Low Regularity
2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20.This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value Schrodinger equation with a non smooth potential. The assumed regularity of the potential is the one coming from a non linear problem and seems to be the critical one for which a good exponential decay estimate can be proved for the first remainder term. The treatment of the boundary conditions brings...
Addendum “Complex transformation method and resonances in one-body quantum systems”
Addendum to “Curves of maximum modulus in coherent state representations”
Addendum to "Generalized radical rings, unknotted biquandles, and quantum groups" (Colloq. Math. 109 (2007), 85-100)
Adiabatic Evolution of Coupled Waves for a Schrödinger-Korteweg-de Vries System
The effective dynamics of interacting waves for coupled Schrödinger-Korteweg-de Vries equations over a slowly varying random bottom is rigorously studied. One motivation for studying such a system is better understanding the unidirectional motion of interacting surface and internal waves for a fluid system that is formed of two immiscible layers. It was shown recently by Craig-Guyenne-Sulem [1] that in the regime where the internal wave has a large...
Adiabatic expansion approximation solutions for the three-body problem.