4 citations · 4 across the 2 of their papers we have counts for
3 papers
Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
Guillaume Dhont, Toshihiro Iwai, Boris Zhilinskii
The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry a…
Molien generating functions and integrity bases for the action of the SO(3) and O(3) groups on a set of vectors
Guillaume Dhont, Patrick Cassam-Chenaï, Frédéric Patras
The construction of integrity bases for invariant and covariant polynomials built from aset of three dimensional vectors under the SO(3) and O(3) symmetries is presented. Thispaper…
A Fast Algorithm for the Construction of Integrity Bases Associated to Symmetry-Adapted Polynomial Representations. Application to Tetrahedral XY4 Molecules
Patrick Cassam-Chenaï, Guillaume Dhont, Frédéric Patras
Invariant theory provides more efficient tools, such as Molien generating functions and integrity bases, than basic group theory, that relies on projector techniques for the constr…