TITLE:
Anharmonic Potentials Analysis through the Floquet Representation
AUTHORS:
Mohammed Janati Idrissi, Abdelaziz Fedoul, Salaheddine Sayouri, Ibrahim Amila
KEYWORDS:
Floquet Theorem, Resonating Averages, Anharmonic Potential
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.1,
January
17,
2020
ABSTRACT: We propose an approach based on Floquet theorem combined with the resonating averages method (RAM), to solve the time-dependent Schrödinger equation with a time-periodic Hamiltonian. This approach provides an alternative way to determine directly the evolution operator, and then we deduct the wave functions and the corresponding quasi-energies, of quantum systems. An application is operated for the driven cubic or/and quatric anharmonic as well as for the Morse potential. Comparisons of our results with those of other authors are discussed, and numerical evaluations are performed, to determine the dissociation energy of (HCl) and (CO) molecules.