54 citations · 132 across the 10 of their papers we have counts for
4 papers · 1 filter
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 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…
Symmetric coupling of angular momenta, quadratic algebras and discrete polynomials
V. Aquilanti, D. Marinelli, A. Marzuoli
Eigenvalues and eigenfunctions of the volume operator, associated with the symmetric coupling of three SU(2) angular momentum operators, can be analyzed on the basis of a discrete…
Hamiltonian dynamics of a quantum of space: hidden symmetries and spectrum of the volume operator, and discrete orthogonal polynomials
Vincenzo Aquilanti, Dimitri Marinelli, Annalisa Marzuoli
The action of the quantum mechanical volume operator, introduced in connection with a symmetric representation of the three-body problem and recently recognized to play a fundament…