One-Dimensional Coulomb Multiparticle Systems

Electron transport in Coulomb- and tunnel-coupled one-dimensional systems

We develop a linear theory of electron transport for a system of two identical quantum wires in a wide range of the wire length L, unifying both the ballistic and diffusive transport regimes. The microscopic model, involving the interaction of electrons with each other and with bulk acoustical phonons allows a reduction of the quantum kinetic equation to a set of coupled equations for the local...

Screening like charges in one-dimensional Coulomb systems: Exact results.

The possibility that like charges can attract each other under the mediation of mobile counterions is by now well documented experimentally, numerically, and analytically. Yet, obtaining exact results is in general impossible, or restricted to some limiting cases. We work out here in detail a one-dimensional model that retains the essence of the phenomena present in higher-dimensional systems. ...

The One-dimensional Spinless Relativistic Coulomb Problem

Motivated by a recent analysis which presents explicitly the general solution, we consider the eigenvalue problem of the spinless Salpeter equation with a (“hard-core amended”) Coulomb interaction potential in one dimension. We prove the existence of a critical coupling constant (which contradicts the assertions of the previous analysis) and give analytic upper bounds on the energy eigenvalues....

The span of one-dimensional multiparticle Brownian motion

The number of distinct sites visited by a random walker is considered one of the basic properties in lattice random walks. In one-dimension, the ‘‘number of sites’’ is equivalent to the ‘‘span’’ of a diffusion process namely, to the furthest point from the origin visited by time t . In the continuous limit, the average span is closely related to the first moment in extrema statistics. In recent...

On the classical two-dimensional one-component Coulomb plasma