Hamiltonian dynamics of a quantum of space: hidden symmetries and spectrum of the volume operator, and discrete orthogonal polynomials

V Aquilanti, D Marinelli, A Marzuoli - Journal of Physics A …, 2013 - iopscience.iop.org
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 …

Screens for displaying chirality changing mechanisms of a series of peroxides and persulfides from conformational structures computed by quantum chemistry

V Aquilanti, C Caglioti, A Lombardi, GS Maciel… - … Science and Its …, 2017 - Springer
A great variety of data on molecular structure and changes, accumulated both
experimentally and theoretically, need be compacted and classified to extract the …

[KSIĄŻKA][B] Computational Science and Its Applications–ICCSA 2019: 19th International Conference, Saint Petersburg, Russia, July 1–4, 2019, Proceedings, Part VI

S Misra, O Gervasi, B Murgante, E Stankova, V Korkhov… - 2019 - books.google.com
The six volumes LNCS 11619-11624 constitute the refereed proceedings of the 19th
International Conference on Computational Science and Its Applications, ICCSA 2019, held …

The Screen Representation of Spin Networks: 2D Recurrence, Eigenvalue Equation for 6j Symbols, Geometric Interpretation and Hamiltonian Dynamics

RW Anderson, V Aquilanti, ACP Bitencourt… - … Science and Its …, 2013 - Springer
This paper treats 6 j 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 …

The Screen Representation of Spin Networks: Images of 6j Symbols and Semiclassical Features

M Ragni, RG Littlejohn, ACP Bitencourt… - … Science and Its …, 2013 - Springer
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 6 j symbols) …

The Screen Representation of Vector Coupling Coefficients or Wigner 3j Symbols: Exact Computation and Illustration of the Asymptotic Behavior

ACP Bitencourt, M Ragni, RG Littlejohn… - … Science and Its …, 2014 - Springer
The Wigner 3 j 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 …

Symmetric angular momentum coupling, the quantum volume operator and the 7-spin network: a computational perspective

D Marinelli, A Marzuoli, V Aquilanti… - … Science and Its …, 2014 - Springer
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 …

Spin-coupling diagrams and incidence geometry: a note on combinatorial and quantum-computational aspects

MS Arruda, RF Santos, D Marinelli… - … Science and Its …, 2016 - Springer
This paper continues previous work on quantum mechanical angular momentum theory and
its applications. Relationships with projective geometry provide insight on various areas of …

Screens displaying structural properties of aminoacids in polypeptide chains: alanine as a case study

C Caglioti, RF Dos Santos, A Lombardi… - … Science and Its …, 2019 - Springer
Large sets of data need to be compacted for classification and extraction of information
regarding structural changes of aminoacid units in specific sequences of proteins. The …

Symmetric coupling of angular momenta, quadratic algebras and discrete polynomials

V Aquilanti, D Marinelli, A Marzuoli - Journal of Physics …, 2014 - iopscience.iop.org
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 …