The classical-statistical limit of quantum mechanics

Abstract

The classical-statistical limit of quantum mechanics is studied. It is proved that the limit $\hslash \to 0$ is the good limit for the operators algebra but it si not so for the state compact set. In the last case decoherence must be invoked to obtain the classical-statistical limit.

9 pages

References in corpus (2)

• The self-induced approach to decoherence in cosmology
• The Gamow Functional

Cited by in corpus (7)

• Decoherence time in self-induced decoherence
• A general theoretical framework for decoherence in open and closed systems
• Predicting decoherence in discrete models
• On the classical limit of quantum mechanics, fundamental graininess and chaos: compatibility of chaos with the correspondence principle
• Formal features of a General Theoretical Framework for Decoherence in open and closed systems
• Quantum decoherence: a logical perspective
• Foundations of quantum mechanics: decoherence and interpretation