56 citations · 357 across the 20 of their papers we have counts for
20 papers
Vectorial Imaging of the Photodissociation of 2-Bromobutane Oriented via Hexapolar State Selection
Masaaki Nakamura, Po-Yu Tsai, Shiun-Jr Yang +6
Molecular orientation techniques are becoming available in the study of elementary chemical processes, in order to highlight those structural and dynamical properties that would be…
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…
Stereodynamics Imaging of Bromine Atomic Photofragments Eliminated from 1-Bromo-2-methylbutane Oriented via Hexapole State Selector
Masaaki Nakamura, Hsiu-Pu Chang, King-Chuen Lin +4
Both single-laser and two-laser experiments were conducted to look into the ion-imaging of Br*(2P1/2) and Br(2P3/2) photo-fragmented from 1-bromo-2-methylbutane in the range 232-24…
Spherical and hyperspherical harmonics representation of van der Waals aggregates
Andrea Lombardi, Federico Palazzetti, Vincenzo Aquilanti +4
The representation of the potential energy surfaces of atom molecule or molecular dimers interactions should account faithfully for the symmetry properties of the systems, preservi…
Double photoionization of propylene oxide: a coincidence study of the ejection of a pair of valence-shell electrons
Stefano Falcinelli, Franco Vecchiocattivi, Michele Alagia +9
Propylene oxide, a favorite target of experimental and theoretical studies of circular dichroism, was recently discovered in interstellar space, further amplifying the attention to…
Projective Ponzano-Regge spin networks and their symmetries
Vincenzo Aquilanti, Annalisa Marzuoli
We present a novel hierarchical construction of projective spin networks of the Ponzano-Regge type from an assembling of five quadrangles up to the combinatorial 4-simplex compatib…
The spherical-harmonics representation for the interaction between diatomic molecules: the general case and applications to CO-CO and CO-HF
Patricia R. P. Barreto, Ana Claudia P. S. Cruz, Rodrigo L. P. Barreto +5
The spherical-harmonics expansion is a mathematically rigorous procedure and a powerful tool for the representation of potential energy surfaces of interacting molecular systems, d…
Interactions of Hydrogen Molecules with Halogen-Containing Diatomics from Ab Initio Calculations: Spherical-Harmonics Representation and Characterization of the Intermolecular Potentials
Alessandra F. Albernaz, Vincenzo Aquilanti, Patricia R. P. Barreto +5
For the prototypical diatomic-molecule - diatomic molecule interactions H2-HX and H2-X2, where X = F, Cl, Br, quantum-chemical ab initio calculations are carried out on grids of th…
Hexapole-Oriented Asymmetric-Top Molecules and Their Stereodirectional Photodissociation Dynamics
Masaaki Nakamura, Shiun-Jr. Yang, Po-Yu Tsai +6
Molecular orientation is a fundamental requisite in the study of stereodirected dynamics of collisional and photoinitiated processes. In this last decade, variable hexapolar electr…
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…
Statistics of energy partitions for many-particle systems in arbitrary dimension
Vincenzo Aquilanti, Andrea Lombardi, Mikhail B. Sevryuk
In some previous articles, we defined several partitions of the total kinetic energy T of a system of N classical particles in the d-dimensional Euclidean space into components cor…
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…
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)…
Semiclassical Mechanics of the Wigner 6j-Symbol
Vincenzo Aquilanti, Hal M. Haggard, Austin Hedeman +3
The semiclassical mechanics of the Wigner 6j-symbol is examined from the standpoint of WKB theory for multidimensional, integrable systems, to explore the geometrical issues surrou…
3nj Morphogenesis and Semiclassical Disentangling
Roger W. Anderson, Vincenzo Aquilanti, Annalisa Marzuoli
Recoupling coefficients (3nj symbols) are unitary transformations between binary coupled eigenstates of N=(n+1) mutually commuting SU(2) angular momentum operators. They have been…
Quantum and semiclassical spin networks: from atomic and molecular physics to quantum computing and gravity
V. Aquilanti, A. C. P. Bitencourt, C. da S. Ferreira +2
The mathematical apparatus of quantum--mechanical angular momentum (re)coupling, developed originally to describe spectroscopic phenomena in atomic, molecular, optical and nuclear…
Semiclassical analysis of Wigner -symbol
Vincenzo Aquilanti, Hal M. Haggard, Robert G. Littlejohn +1
We analyze the asymptotics of the Wigner -symbol as a matrix element connecting eigenfunctions of a pair of integrable systems, obtained by lifting the problem of the addition…