A Logical Approach to the Quantum-to-Classical Transition

Abstract

The description of the classical limit of a quantum system is one of the most important issues in the foundations of quantum mechanics [1]. This problem has been formulated in different ways and explained by appealing to different interpretations [2]. The attempts to explain the classical limit go back to the correspondence principle, proposed by Niels Bohr. This principle establishes a connection between quantum observables and their classical counterparts when Planck’s constant is small enough in comparison with relevant quantities of the quantum system. In particular, this happens in the limit of large quantum numbers.