• Publications
  • Influence
Euler angles for G2
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 theExpand
  • 30
  • 4
  • PDF
Mapping the geometry of the F4 group
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 theExpand
  • 19
  • 2
  • PDF
Zero-point energy in classical non-linear mechanics☆
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 quantumExpand
  • 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 isExpand
  • 26
  • 1
Mapping the geometry of the E6 group
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 theExpand
  • 11
  • 1
Recent progress in classical nonlinear dynamics
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 ofExpand
  • 49
Numerical computations on a stochastic parameter related to the Kolmogorov entropy
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 thatExpand
  • 61
On subadditivity and convexity properties of thermodynamic functions
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 aExpand
  • 15
  • PDF
...
1
2
3
4
5
...