X iv : m at h - ph / 0 41 00 07 v 1 3 O ct 2 00 4 Scattering by local deformations of a straight leaky wire
نویسندگان
چکیده
We consider a model of a leaky quantum wire with the Hamiltonian −∆ − αδ(x − Γ) in L 2 (R 2), where Γ is a compact deformation of a straight line. The existence of wave operators is proven and the S-matrix is found for the negative part of the spectrum. Moreover, we conjecture that the scattering at negative energies becomes asymptot-ically purely one-dimensional, being determined by the local geometry in the leading order, if Γ is a smooth curve and α → ∞.
منابع مشابه
ar X iv : h ep - l at / 0 11 00 06 v 2 3 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions
متن کامل
ar X iv : h ep - p h / 00 10 35 2 v 1 3 1 O ct 2 00 0 1 Q 2 evolution of parton distributions at small x
We investigate the Q 2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The results are in excellent agreement with deep inelastic scattering experimental data from HERA.
متن کاملar X iv : h ep - l at / 0 11 00 06 v 1 2 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions
متن کامل
ar X iv : m at h - ph / 0 41 00 13 v 1 4 O ct 2 00 4 Statistical Mechanics of Thermodynamic Processes ∗
In this note we describe some results concerning non-relativistic quantum systems at positive temperature and density confined to macroscopically large regions, Λ, of physical space R which are under the influence of some local, time-dependent external forces. We are interested in asymptotic properties of such systems, as Λ increases to all of R. It might thus appear natural Submitted for publi...
متن کاملar X iv : m at h - ph / 0 11 00 12 v 1 9 O ct 2 00 1 Functional Equations and Poincare Invariant Mechanical Systems
We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincaré algebra:
متن کامل