Quantum-Like Behavior of Classical Systems

Roy J. Glauber

Vieri Benci

Sergey A. Rashkovskiy

We construct the classical dynamical system which has a quantum-like behavior. We have shown that the energy-time uncertainty relation takes place for the system and it has purely classical nature. We investigate the behavior of the system and propose a "classical" explanation of Franck-Hertz experiments.

Nicolaas P. Landsman

A formalism is developed for describing approximate classical behavior in finite (but possibly large) quantum systems. This is done in terms of a structure common to classical and quantum mechanics, viz. a Poisson space with a transition probability. Both the limit where ħ→0 in a fixed finite system and the limit where the size of the system goes to infinity are incorporated. In either case, classical behavior is seen only for certain observables and in a restricted class of states.

Michael Brieger

Ph. Blanchard, Arkadiusz Jadczyk