M. Rouleux

activity

20022026

most citedBohr-Sommerfeld quantization rules revisited: the method of positive commutators

4 citations · 11 across the 26 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math-ph2018★ 1 cited

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/…

math-ph2018

Semi-classical Green functions

Anatoly Anikin, Sergey Dobrokhotov, Vladimir Nazaikinskii +1

Let $H (x, p) \sim H_{0} (x, p) + h H_{1} (x, p) + \dots$ be a semi-classical Hamiltonian on $T^{*} R^{n}$ , and $Σ_{E} = {H_{0} (x, p) = E}$ a non critical energy surface. Consider $f_{h}$ a semi-classica…