3 papers
math.AC2025
Resultant of an equivariant polynomial system with respect to direct product of symmetric groups
Sonagnon Julien Owolabi, Ibrahim Nonkane, Joel Tossa
In this note, we consider the resultant of systems of homogeneous multivariate polynomials which are equivariant under the action of direct product of two symmetric groups. We esta…
quant-ph2025
Gazeau-Klauder coherent states for a harmonic position-dependent mass
Daniel Sabi Takou, Assimiou Yarou Mora, Ibrahim Nonkané +2
In this paper, we study the dynamic of position-dependent mass system confined in harmonic oscillator potential. We derive the eigensystems by solving the Schr\''odinger-like equat…
math.AG2024
Effective Bounds on Topological Types of Real Algebraic and Semialgebraic Sets
Kartoue Mady Demdah, Ibrahim Nonkane
In this paper, we revisit the problem of classifying real algebraic and semialgebraic sets by their topological types, focusing on establishing the effectiveness of bounds rather t…