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Publications Influence

Euler angles for G2

- S. Cacciatori, B. L. Cerchiai, A. D. Vedova, G. Ortenzi, A. Scotti
- Physics, Mathematics
- 10 March 2005

We provide a simple parameterization for the group G2, which is analogous to the Euler parameterization for SU(2). We show how to obtain the general element of the group in a form emphasizing the… Expand

30 4- PDF

Mapping the geometry of the F4 group

- F. Bernardoni, S. Cacciatori, B. L. Cerchiai, A. Scotti
- Mathematics, Physics
- 28 May 2007

In this paper, we present a construction of the compact form of the exceptional Lie group F4 by exponentiating the corresponding Lie algebra f4. We realize F4 as the automorphisms group of the… Expand

19 2- PDF

Zero-point energy in classical non-linear mechanics☆

- C. Cercignani, L. Galgani, A. Scotti
- Physics
- 13 March 1972

Abstract It is pointed out that the critical energy for stochasticity observed in classical systems, for physical values of the parameters in the problem, is of the order of magnitude of the quantum… Expand

36 1

Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions

Motivated by a recently advanced conjecture on the ergodic properties of Quantum Systems, the problem of solving the Schrodinger equation for a free particle in a plane polygonal enclosure is… Expand

26 1

Mapping the geometry of the E6 group

- F. Bernardoni, S. Cacciatori, B. L. Cerchiai, A. Scotti
- Mathematics, Physics
- 1 October 2007

In this paper we present a construction for the compact form of the exceptional Lie group E{sub 6} by exponentiating the corresponding Lie algebra e{sub 6}, which we realize as the sum of f{sub 4},… Expand

22 1- PDF

Euler Angles for G 2

We provide a simple coordinatization for the group G2, which is analogous to the Euler coordinatization for SU(2). We show how to obtain the general element of the group in a form emphasizing the… Expand

11 1

Recent progress in classical nonlinear dynamics

- L. Galgani, A. Scotti
- Physics
- 1 April 1972

8 - ConclusionsIn this paper it has been illustrated how modern mathematical developments and numerical computations in classical nonlinear dynamics indicate that classical systems ofn degrees of… Expand

49

Anharmonic Chain with Lennard-Jones Interaction

- P. Bocchieri, A. Scotti, B. Bearzi, A. Loinger
- Physics
- 1 November 1970

98

Numerical computations on a stochastic parameter related to the Kolmogorov entropy

- M. Casartelli, E. Diana, L. Galgani, A. Scotti
- Physics
- 1 May 1976

A stochastic parameter which appears to be related to the Kolmogorov entropy is computed for a system of $N$ particles in a line with the nearest-neighbor Lennard-Jones interaction. It is found that… Expand

61

On subadditivity and convexity properties of thermodynamic functions

- L. Galgani, A. Scotti
- Chemistry
- 1970

It is pointed out that the usual basic postulate of increase of entropy for an isolated system, as stated for example by Tisza and Callen, if mathematically formalized, is expressed as a… Expand

15- PDF

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