4 papers
Semi-classical determination of exponentially small intermode transitions for 1+1 space-time scattering systems
Magali Marx, Alain Joye
We consider the semiclassical limit of systems of autonomous PDE's in 1+1 space-time dimensions in a scattering regime. We assume the matrix valued coefficients are analytic in the…
Weak Coupling and Continuous Limits for Repeated Quantum Interactions
Stephane Attal, Alain Joye
We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature . The time evolut…
Edge currents in the absence of edges
Pavel Exner, Alain Joye, Hynek Kovarik
We investigate a charged two-dimensional particle in a homogeneous magnetic field interacting with a periodic array of point obstacles. We show that while Landau levels remain to b…
Exponential Estimates in Adiabatic Quantum Evolution
A. Joye, C. -E. Pfister
We review recent results concerning the exponential behaviour of transition probabilities across a gap in the adiabatic limit of the time-dependent Schrödinger equation. They range…