4 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
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/…
Bohr-Sommerfeld quantization rules revisited: the method of positive commutators
Abdelwaheb Ifa, Hanen Louati, Michel Rouleux
We revisit the well known Bohr-Sommerfeld quantization rule (BS) for a 1-D Pseudo-differential self-adjoint Hamiltonian within the algebraic and microlocal framework of Helffer and…
Regular Bohr-Sommerfeld quantization rules for a h-pseudo-differential operator: The method of positive commutators
Abdelwaheb Ifa, Michel Rouleux
We revisit in this Note the well known Bohr-Sommerfeld quantization rule (BS) for 1-D Pseudo-differential self-adjoint Hamiltonians within the algebraic and microlocal framework of…
On generalized Bohr-Sommerfeld quantization rules for operators with PT symmetry
A. Ifa, N. M'hadhbi, M. Rouleux
We give Bohr-Sommerfeld quantization rules corresponding to quasi-eigenvalues for a 1-D h-Pseudodifferential operator with real principal symbol and verifying PT symmetry.