1 citations · 1 across the 3 of their papers we have counts for
5 papers
Finite-dimensional Lie subalgebras of the universal enveloping algebra of
Tim Heib
In this work we provide the complete classification of all non-zero finite-dimensional complex Lie subalgebras of the universal enveloping algebra of the special linear Lie algebra…
Universality from Quadratic Angular-Momentum Operations: Exact Dynamical Lie Algebras and the Role of the Casimir Obstruction
Tim Heib, Pérola Milman
Universality relies on combining operators with different algebraic properties, which depend on the physical structure of the Hilbert space encoding the information. Systems of ide…
On the structural properties of Lie algebras via associated labeled directed graphs
Tim Heib, David Edward Bruschi
We present a method for associating labeled directed graphs to finite-dimensional Lie algebras that are -. The proposed framework enables visual identification o…
Finite-dimensional Lie algebras in bosonic quantum dynamics: The single-mode case
Tim Heib, Andreea Silvia Goia, Sona Baghiyan +2
We study, classify, and explore the mathematical properties of finite-dimensional Lie algebras occurring in the quantum dynamics of single-mode and self-interacting bosonic systems…
Bounding the rotating wave approximation for coupled harmonic oscillators
Tim Heib, Paul Lageyre, Alessandro Ferreri +5
In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily…