We present a new derivation of the spectral gap of the totally asymmetric exclusion process on a half-filled ring of size L by using the Bethe Ansatz. We show that, in the large L limit, the Bethe equations reduce to a simple transcendental equation involving the polylogarithm, a classical special function. By solving that equation, the gap and the dynamical exponent are readily obtained. Our m...

We examine the use of distributions in numerical treatments of Anderson localisation and supply evidence that treating exponential localisation on Bethe lattices recovers the overall picture known from hypercubic lattices in 3d.

We consider Schrödinger operator −∆+V in R (d ≥ 2) with smooth periodic potential V and prove that there are only finitely many gaps in its spectrum. Dedicated to the memory of B.M.Levitan

A random tiling of rectangles and triangles displaying a decagonal phase is solved by Bethe Ansatz. Analogously to the solutions of the dodecagonal square triangle and the octagonal rectangle triangle tiling an exact expression for the maximum of the entropy is found.

We investigate some properties of Bethe–Salpeter wave functions in integrable models. In particular we illustrate the application of the operator product expansion in determining the short distance behavior. The energy dependence of the potentials obtained from such wave functions is studied, and further we discuss the (limited) phenomenological significance of zero–energy potentials.

Modern experimental facilities such as TJNAF and Julich are probing the baryonic structure and interactions at intermediate energies (∼ GeV), through electromagnetic and strong reactions involving high momentum transfer [1]. To describe the NN interaction in the intermediate energy range (∼ 300 MeV-1 GeV), particle production mechanisms have to be included. Relativistic effects became also impo...

Using a previously established effective Lagrangian model we describe anti-kaon induced reactions on the nucleon. The dominantly contributing channels in the cm-energy region from threshold up to 1.72 GeV are included (KN , πΣ, πΛ). We solve the Bethe-Salpeter equation in an unitary K-matrix approximation .

We derive the so-called Barbieri–Remiddi solution of the Bethe–Salpeter equation in QED in its general form and discuss its application to the bound state energy spectrum. PACS: 12.20.-m, 11.10.St, 36.10.Dr

We give a review of recent progress on the application of the relativistic chiral SU (3) Lagrangian to meson-baryon scattering. It is shown that a combined chi-ral and 1/N c expansion of the Bethe-Salpeter interaction kernel leads to a good description of the kaon-nucleon, antikaon-nucleon and pion-nucleon scattering data typically up to laboratory momenta of p lab ≃ 500 MeV. We solve the covar...

The spinless Salpeter equation represents the simplest, and most straightforward, generalization of the Schrödinger equation of standard nonrelativistic quantum theory towards the inclusion of relativistic kinematics. Moreover, it can be also regarded as a well-defined approximation to the Bethe–Salpeter formalism for descriptions of bound states in relativistic quantum field theories. The corr...