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19972022
most citedUniversal Local symmetries and non-superposition in classical mechanics

68 citations · 304 across the 23 of their papers we have counts for

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13 papers · 1 filter

quant-ph2022

Are there any problem for large values of the action like there were for small ones ?

Ennio Gozzi

In this paper we show that a method of quantization proposed few years ago (ann.of phys. (314),2005, 24) is equivalent to studying the system for values of the action close to zero…

quant-ph2020★ 6 cited

The Response Field and the Saddle Points of Quantum Mechanical Path Integrals

E. Gozzi, C. Pagani, M. Reuter

In quantum statistical mechanics, Moyal's equation governs the time evolution of Wigner functions and of more general Weyl symbols that represent the density matrix of arbitrary mi…

quant-ph2018★ 1 cited

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…

quant-ph2018★ 12 cited

From quantum to classical without Planck constant going to zero

Ennio Gozzi

In this paper we put forward some simple rules which can be used to pass from the quantum Moyal evolution operator to the classical Liouville one without taking the Planck constant…

quant-ph2010★ 68 cited

Universal Local symmetries and non-superposition in classical mechanics

ennio gozzi, carlo pagani

In the Hilbert space formulation of classical mechanics (CM), pioneered by Koopman and von Neumann (KvN), there are potentially more observables that in the standard approach to CM…

quant-ph2006★ 7 cited

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…