New perspectives on problems in classical and quantum physics

John Rarity, P. R. Tapster

Giulio Casati, Boris Chirikov

The present collection of papers is devoted to a rather new and very controversial topic, the so-called “quantum chaos”. Some researchers see nothing essentially new at all in this phenomenon (apart from a number of various examples and models), and they have good reason to believe so. Indeed, the problems in this field all belong to the traditional, “old-fashion”, and rather “simple” quantum mechanics of finite-dimensional systems with a given interaction and no quantized fields. Nevertheless, many, including ourselves, consider quantum chaos to be a new discovery, though in an old field, of a great importance for fundamental physics. To understand this, the phenomenon of quantum chaos should be put into its proper perspective in recent developments in physics. The central point of this perspective is the conception of dynamical chaos (also a rather new topic) in classical mechanics (for a good review see, e.g., Refs.[l-3]). Thus before discussing the current understanding of quantum chaos we need briefly to describe classical dynamical chaos

Zulena dos S. Silva

This paper will present questions from three perspectives about Quantum Mechanics (QM): physics, epistemological, and metaphysical.The quantum phenomena do not fit with the parameters of classical physics, so a daily intuition on macroscopic world is dispensable when it is the quantum object investigated.This physical domain induces a new thinking, which requires also new concepts to describe such object.The QM is disturbing and stimulates epistemological reflections, as the issues of access about what is known; and metaphysical theme are not to be left behind with regard to QM: What would the quantum object to?What is apprehended when this object is perceived, once considered the disturbing characteristics that constitute its physical description: interference and non-separability?What is its nature?This paper focuses briefly on the analysis of B. d'Espagnat in Veiled Reality, which would represent the physical perspective of QT; for epistemological questions, one will resort to the Kantian conception of knowledge; and with regard to the metaphysical perspective, we will rely on an article by Professor J. B. Arenhart.It is necessary to note that the question that pervades in this paper is about if the experience in QM is built.Thus, we will try to seek clarity on the philosophical issues through QT, regarding the problems about the possibility of knowledge of the quantum object and its nature, and whether experience in this case is built.But furthermore, the QM instigates us to think whether metaphysics proceeds on the investigation of nature when it comes to the QM.And such a question is more than to have as problem as the scope of the description of physical data, but rather whether it makes sense or whether metaphysical research is pertinent to the QM.

Miguel Ferrero, Alwyn van der Merwe

Cesare Tronci

Going back to the early days in the history of quantum mechanics, the interaction of quantum and classical systems stands among the most intriguing open questions in science and makes its appearance in several fields, from physics to chemistry. Recently, a new perspective on this problem was unfolded by an unprecedented combination of symplectic geometry and Koopman's formulation of classical mechanics.

J. D. Kelley, Jacob J. Leventhal