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math-ph2005
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…
math-ph2005
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…