EPJ Plus Focus Point Issue: Mathematics and Physics at the Quantum-Classical Interface

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Published on 29 May 2026

Guest Editors: Denys I. Bondar, Ilon Joseph, Giuseppe Marmo, Cesare Tronci

The study of the quantum-classical interface has been leading to new horizons in the fundamental understanding of many-body quantum systems as well as the control of quantum systems through the steering of classical components. The study of this area requires a combination of different approaches in both mathematics and physics, thereby forming an ideal platform for the rise of new concepts and methods in both fields and beyond. Given the intrinsic interdisciplinary aspects accompanying the study of the quantum-classical divide, this focus point brings together communities with different expertise in order to approach and advance problems lying across this interface. It is clear that standard methods in quantum mechanics are not sufficient to tackle this kind of problems, nor can classical mechanics alone resolve the underlying issues. There must be a synergy between different fields and this focus point has been seeking to accelerate new approaches and new collaborations along these lines. Achieving this synergy requires breaking language barriers and considering concepts that may be far from standard viewpoints. This focus point signifies the fact that the community is ready to embark on such a challenge by bringing together – once again – both mathematics and physics.

All articles are available here and are freely accessible until 31 July 2026. For further information, read the Editorial.