Author(s)

Mohammed Janati Idrissi, Abdelaziz Fedoul, Salaheddine Sayouri, Ibrahim Amila

Laboratory of Theoretical and Applied Physics, Faculty of Sciences Dhar Al Mahraz, University of Sidi Mohamed Ben Abdellah, Fez, Morocco.

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.

Floquet Theorem, Resonating Averages, Anharmonic Potential

Idrissi, M. , Fedoul, A. , Sayouri, S. and Amila, I. (2020) Anharmonic Potentials Analysis through the Floquet Representation. Journal of Applied Mathematics and Physics, 8, 184-195. doi: 10.4236/jamp.2020.81014.