Integrable systems,
Hamiltonian systems,
orthogonal polynomials,
special functions,
quantum theory,
quantum field theories,
operator algebras,
geometric methods in physics,
quantization techniques,
hom-algebras,
nonassociative algebras.
Subject:
Mathematical Physics
Main publications:
Mahouton Norbert Hounkonnou and Mahougnon Justin Landalidji, “Hamiltonian dynamics for the Kepler problem in a deformed phase space”, Proceedings of XXXVII Workshop on Geometric Methods in Physics,Trends in Mathematics, 2019, 34-48
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji and Ezinvi Baloitcha, “Recursion operator in a noncommutative Minkowski phase space”, Proceedings of XXXVI Workshop on Geometric Methods in Physics, Trends in Mathematics, 2019, 83-93
Mahouton Norbert Hounkonnou and Gbevewou Damien Houndedji, “Solutions of associative Yang-Baxter equation and D-equation in low dimensions and associated Frobenius algebras and Connes cocycles”, Journal of Algebra and its Applications, 16:11 (2018), 1850010
Mahouton Norbert Hounkonnou, Partha Guha and Tudor Ratiu, “Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties”, Journal of Nonlinear Mathematica Physics, 23:1 (2016), 47-73
Mahouton Norbert Hounkonnou and Joseph Desire Bukweli Kyemba, “(R,p,q)-deformed quantum algebras: coherent states and special functions”, Journal of Mathematica Physics, 51 (2010), 063518
M. N. Hounkonnou, F. Melong, “Geometry and probability on the noncommutative $2$-torus in a magnetic field”, TMF, 220:2 (2024), 377–395; Theoret. and Math. Phys., 220:2 (2024), 1385–1401
2022
2.
M. N. Hounkonnou, M. J. Landalidji, M. Mitrovic, “Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries”, TMF, 212:1 (2022), 129–148; Theoret. and Math. Phys., 212:1 (2022), 1001–1018
M. N. Hounkonnou, M. J. Landalidji, M. Mitrović, “Noncommutative Kepler dynamics: symmetry groups and bi-Hamiltonian structures”, TMF, 207:3 (2021), 403–423; Theoret. and Math. Phys., 207:3 (2021), 751–769
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