28 citations · 92 across the 7 of their papers we have counts for
7 papers
Quadrilaterals on the square screen of their diagonals: Regge symmetries of quantum-mechanical spin-networks and Grashof classical mechanisms of four-bar linkages
Vincenzo Aquilanti, Ana Carla Peixoto Bitencourt, Concetta Caglioti +4
The four-bar linkage is a basic arrangement of mechanical engineering and represents the simplest movable system formed by a closed sequence of bar-shaped bodies. Although the mech…
Symmetric angular momentum coupling, the quantum volume operator and the 7-spin network: a computational perspective
Dimitri Marinelli, Annalisa Marzuoli, Vincenzo Aquilanti +3
A unified vision of the symmetric coupling of angular momenta and of the quantum mechanical volume operator is illustrated. The focus is on the quantum mechanical angular momentum…
The screen representation of vector coupling coefficients or Wigner 3j symbols: exact computation and illustration of the asymptotic behavior
Ana Carla P. Bitencourt, Mirco Ragni, Robert G. Littlejohn +2
The Wigner symbols of the quantum angular momentum theory are related to the vector coupling or Clebsch-Gordan coefficients and to the Hahn and dual Hahn polynomials of the di…
The Screen representation of spin networks. Images of 6j symbols and semiclassical features
Mirco Ragni, Robert G. Littlejohn, Ana Carla P. Bitencourt +2
This article presents and discusses in detail the results of extensive exact calculations of the most basic ingredients of spin networks, the Racah coefficients (or Wigner 6j symbo…
The Screen representation of spin networks: 2D recurrence, eigenvalue equation for 6j symbols, geometric interpretation and Hamiltonian dynamics
Roger W. Anderson, Vincenzo Aquilanti, Ana Carla P. Bitencourt +2
This paper treats 6j symbols or their orthonormal forms as a function of two variables spanning a square manifold which we call the "screen". We show that this approach gives impor…
Exact and asymptotic computations of elementary spin networks: classification of the quantum-classical boundaries
A. C. P. Bitencourt, A. Marzuoli, M. Ragni +2
Increasing interest is being dedicated in the last few years to the issues of exact computations and asymptotics of spin networks. The large-entries regimes (semiclassical limits)…