60 citations · 311 across the 19 of their papers we have counts for
19 papers
On the metric structure of time in classical and quantum mechanics
E. Cattaruzza, E. Gozzi, D. Mauro
In this paper we show that, via an extension of time, some metric structures naturally appear in both classical and quantum mechanics when both are formulated via path integrals. W…
Perturbation theory via Feynman diagrams in classical mechanics
R. Penco, D. Mauro
In this paper we show how Feynman diagrams, which are used as a tool to implement perturbation theory in quantum field theory, can be very useful also in classical mechanics, provi…
Quantization as a dimensional reduction phenomenon
E. Gozzi, D. Mauro
Classical mechanics, in the operatorial formulation of Koopman and von Neumann, can be written also in a functional form. In this form two Grassmann partners of time make their nat…
Mechanical similarity as a generalization of scale symmetry
E. Gozzi, D. Mauro
In this paper we study the symmetry known as mechanical similarity (LMS) and present for any monomial potential. We analyze it in the framework of the Koopman-von Neumann formulati…
Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I
P. Carta, E. Gozzi, D. Mauro
In this paper we present the Koopman-von Neumann (KvN) formulation of classical non-Abelian gauge field theories. In particular we shall explore the functional (or classical path i…
Scale symmetry in classical and quantum mechanics
E. Gozzi, D. Mauro
In this paper we address again the issue of the scale anomaly in quantum mechanical models with inverse square potential. In particular we examine the interplay between the classic…