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- Tunis UniversityTN152 papers
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13 papers · 1 filter
The flux norm, Bohr-Sommerfeld Quantization Rules and the scattering problem for h DO's on the real line
Abdelwaheb Ifa, Michel Rouleux
We revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D h-Pseudo-differential operator within the algebraic and microlocal framework of H…
Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi
In the present paper, we construct QMC (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the r…
On semi-classical spectral series for an atom in a periodic polarized electric field
Abdelwaheb Ifa, Hanen Louati, Michel Rouleux
In this report we present preliminary results about the tunneling problem for a magnetic Schrödinger operator. As a motivation we consider the 3-D time-dependent Schrödinger operat…
Quantum Markov Chains on the Comb graphs: Ising model
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi
In the present paper, we construct quantum Markov chains (QMC) over the Comb graphs. As an application of this construction, it is proved the existence of the disordered phase for…
The one dimensional semi-classical Bogoliubov-de Gennes Hamiltonian with PT symmetry: generalized Bohr-Sommerfeld quantization rules
Abdelwaheb Ifa, Michel Rouleux
We present a method for computing first order asymptotics of semiclassical spectra for 1-D Bogoliubov-de Gennes (BdG) Hamiltonian from Supraconductivity, which models the electron/…
Quantum algebra from generalized q-Hermite polynomials
Kamel Mezlini, Najib Ouled Azaiez
In this paper, we discuss new results related to the generalized discrete -Hermite II polynomials , introduced by Mezlini et al. in 2014. Our aim is to giv…