13 citations · 13 across the 2 of their papers we have counts for
7 papers
Generalised homomorphisms, measuring coalgebras and extended symmetries
Marjorie Batchelor, Will Boulton, Daren Chen +2
Three categories of algebras with morphisms generalising the usual set of algebra homomorphisms are described. The Sweedler product provides a hom-tensor equivalence relating these…
Exactly solvable 1D model explains the low-energy vibrational level structure of protonated methane
Jonathan I. Rawlinson, Csaba Fábri, Attila G. Császár
A new one-dimensional model is proposed for the low-energy vibrational quantum dynamics of CH5+ based on the motion of an effective particle confined to a 60-vertex graph …
The bohmion method in nonadiabatic quantum hydrodynamics
Darryl D. Holm, Jonathan I. Rawlinson, Cesare Tronci
Starting with the exact factorization of the molecular wavefunction, this paper presents the results from the numerical implementation in nonadiabatic molecular dynamics of the rec…
Regularized Born-Oppenheimer molecular dynamics
Jonathan I. Rawlinson, Cesare Tronci
While the treatment of conical intersections in molecular dynamics generally requires nonadiabatic approaches, the Born-Oppenheimer adiabatic approximation is still adopted as a va…
Electromagnetic transition rates of Carbon-12 and Oxygen-16 in rotational-vibrational models
C. J. Halcrow, J. I. Rawlinson
We develop a formalism to calculate electromagnetic (EM) transition rates for rotational-vibrational models of nuclei. The formalism is applied to recently proposed models of Carbo…
Quantum graph model for rovibrational states of protonated methane
J. I. Rawlinson
We extend the quantum graph model for the protonated methane (CH5+) molecular ion, allowing for orientational degrees of freedom. This enables us to compute J>0 rovibrational state…