Hyperspherical δ-δ′ potentials

One-dimensional anyons with competing δ-function and derivative δ-function potentials

We propose an exactly solvable model of one-dimensional anyons with competing δ-function and derivative δ-function interaction potentials. The Bethe ansatz equations are derived in terms of the N -particle sector for the quantum anyonic field model of the generalized derivative nonlinear Schrödinger equation. This more general anyon model exhibits richer physics than that of the recently studie...

D-anyons: one-dimensional anyons with competing δ-function and derivative δ-function potentials

We propose an exactly solvable model of anyons confined to one dimension with competing δ-function and derivative δ-function interaction potentials. The Bethe ansatz equations are derived in terms of the N -particle sector for the quantum anyonic field model of the generalized derivative nonlinear Schrödinger equation. This more general anyon model exhibits richer physics than that of the recen...

Dirichlet Heat Kernel Estimates for Δ +δ

For d ≥ 1 and 0 < β < α < 2, consider a family of pseudo differential operators {Δ + aΔ; a ∈ [0,1]} on R that evolves continuously from Δ to Δ + Δ. It gives arise to a family of Lévy processes {X, a ∈ [0,1]} on R, where each X is the independent sum of a symmetric α-stable process and a symmetric β-stable process with weight a. For any C open set D ⊂R, we establish explicit sharp two-sided esti...

Detecting Omnivory with Δ Δ 15 N

is no unambiguous evidence that plumicolous feather mites chew holes in feathers; such damage is usually caused by feather lice. Also, it has been reported that feather mites of the great-spotted woodpecker (Dryobates major) and the hoopoe (Upupa epops) avoid white spots on the feathers and instead aggregate on melanized areas 5. Thus, as we stressed in our review 3 , extrapolating from lice to...

δ-Small Submodules and δ-Supplemented Modules