Dynamics of quantum systems driven by time-varying Hamiltonians: Solution for the Bloch-Siegert Hamiltonian and applications to NMR

PL Giscard, C Bonhomme - Physical Review Research, 2020 - APS
Comprehending the dynamical behavior of quantum systems driven by time-varying
Hamiltonians is particularly difficult. Systems with as little as two energy levels are not yet …

Computing optimal assignments in linear time for approximate graph matching

NM Kriege, PL Giscard, F Bause… - 2019 IEEE International …, 2019 - ieeexplore.ieee.org
Finding an optimal assignment between two sets of objects is a fundamental problem arising
in many applications, including the matching of'bag-of-words' representations in natural …

Unlocking the Potential of Polylactic Acid: Exploring Its Thermal and Mechanical Properties for Vitrimerization via Double Reactive Extrusion and Transesterification

LY Cherif, N Naar, A Mekki, A Ouadah… - Journal of Applied …, 2024 - Wiley Online Library
Polylactic acid (PLA) is a biosourced thermoplastic polymer widely used in various fields
such as biomedical, packaging, and prototyping. Enhancing PLA thermal and mechanical …

Application of Floquet-Magnus expansion and Fer expansion to investigate the chemical shift anisotropy in solid-state NMR when irradiated with the triple oscillating …

ES Mananga - arXiv preprint arXiv:2403.16359, 2024 - arxiv.org
The Floquet-Magnus and Fer expansion schemes were introduced in solid-state nuclear
magnetic resonance (NMR) in 2011 and 2006, respectively. Key features of the Floquet …

[PDF][PDF] General solutions for quantum dynamical systems driven by time-varying Hamiltonians: applications to NMR

PL Giscard, C Bonhomme - arXiv preprint arXiv:1905.04024, 2019 - hal.science
The unitary evolution operator U (t, t) describing the time dynamics of quantum systems is
defined as the unique solution of Schrödinger's equation with quantum Hamiltonian H, ie (h …

The Floquet–Magnus and Fer Expansions: Application to Control the Spin Dynamics During the Phase Modulated Lee–Goldburg Radiation in Solid-State NMR

ES Mananga - Reports in Advances of Physical Sciences, 2023 - World Scientific
Floquet–Magnus and Fer expansion (FE) schemes are used in nuclear magnetic resonance
(NMR) for the calculation of effective Hamiltonians and propagators. This work focuses on …

[HTML][HTML] Applications of Floquet-Magnus and Fer Expansion Approaches during Cross Polarization Radiation in Solid State NMR

ES Mananga, T Charpentier - Journal of Modern Physics, 2023 - scirp.org
This paper investigates the concept of Cross Polarization (CP) experiment in addition to
revisiting the two potential expansion schemes recently developed in the field of solid-state …

[PDF][PDF] Japan Journal of Research

ES Mananga, A Diop, PJ Dongomale, L Donkor… - 2023 - sciencexcel.com
This work uses the Floquet-Magnus expansion approach to investigate the spin system
evolution during the phase modulate Lee-Goldburg radiation experiment. Until now, the …

Algebraic Walk Theory

PL Giscard - 2023 - hal.science
While graph theory is a well established field of research in mathematics, there is no
dedicated theory for graph walks. In the present work we show that such a theory is not only …

Effect of Electrical Poling on the Structural, Dielectric, and Photoluminescence Properties of Eu3+ Substituted Eco-Friendly Ferroelectric Material Na0.5Bi0.5TiO3

SK Mev, L Sireesha, SSK Raavi… - Materials Science …, 2023 - Trans Tech Publ
In this work, the effect of electric field on structural, photoluminescence, dielectric, and
piezo/ferroelectric properties of 2.5 mole% Eu3+ substituted sodium bismuth titanate (Na0 …