3 papers
quant-ph2026
Point-group filtering in unitary coupled-cluster ansätze: exact criticality under the Abelian filter, freeness measured near equilibrium under the full group
Leon D. da Silva, Marcelo P. Santos, Md. Zubair
Filtering a unitary coupled-cluster ansatz by molecular point-group symmetry has no settled variational cost for groups with degenerate irreducible representations. We prove that t…
math.GR2025
PySymmetry: A Sage/Python Framework for the Symmetry Reduction of Linear G-Equivariant Systems
Leon D. da Silva, Marcelo P. Santos
Despite the prevalence of symmetry in scientific linear systems, these structural properties are often underutilized by standard computational software. This paper introduces PySym…
math.DS2025
Decomposition of Symmetrical Classes of Central Configurations
Marcelo P. Santos, Leon D. da Silva
We study central configurations when the set of positions is symmetric. We use a theorem from representation theory of finite groups to explore the symmetry properties of equations…