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math-ph1998★ 6 cited

Adiabatic Evolution for Systems with Infinitely many Eigenvalue Crossings

A. Joye, F. Monti, S. Guerin +1

We formulate an adiabatic theorem adapted to models that present an instantaneous eigenvalue experiencing an infinite number of crossings with the rest of the spectrum. We give an…

cond-mat.mes-hall1998★ 32 cited

On edge states in semi-infinite quantum Hall systems

N. Macris, Ph. A. Martin, J. V. Pule

We consider an electron in two dimensions submitted to a magnetic field and to the potential of impurities. We show that when the electron is confined to a half-space by a planar w…

cond-mat.stat-mech1998★ 76 cited

Stationary Motion of the Adiabatic Piston

Ch. Gruber, J. Piasecki

We consider a one-dimensional system consisting of two infinite ideal fluids, with equal pressures but different temperatures T_1 and T_2, separated by an adiabatic movable piston…

cond-mat1998★ 10 cited

Lifetimes of impurity states in crossed magnetic and electric fields

Sebastien Gyger, Philippe A. Martin

We study the quantum dynamics of localized impurity states created by a point interaction for an electron moving in two dimensions under the influence of a perpendicular magnetic f…

cond-mat.stat-mech1998

Restricted random walks on a graph

F. Y. Wu, H. Kunz

The problem of a restricted random walk on graphs which keeps track of the number of immediate reversal steps is considered by using a transfer matrix formulation. A closed-form ex…

cond-mat.stat-mech1998★ 21 cited

Diffusion-limited Reactions of hard-core Particles in one-dimension

Pierre-Antoine Bares, Mauro Mobilia

We investigate three different methods to tackle the problem of diffusion-limited reactions (annihilation) of hard-core classical particles in one dimension. We first extend an app…