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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…
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…
Geometric Dequantization
A. A. Abrikosov, E. Gozzi, D. Mauro
Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a…
Time and Geometric Quantization
A. A. Abrikosov, E. Gozzi, D. Mauro
In this paper we briefly review the functional version of the Koopman-von Neumann operatorial approach to classical mechanics. We then show that its quantization can be achieved by…