Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Rouleux, Michel"'
Autor:
Jeudy, Charlie, Rouleux, Michel
The irreps $(SU(2),{\cal H},U)$ of SU(2) of dimension $(2S+1)^N$, i.e. operators acting on the space ${\cal H}={\cal H}_N={\bf C}^{(2S+1)^N}$ of $N$ identical particles with spin $S$, are described by Clebsch-Gordan decomposition into inequivalent ir
Externí odkaz:
http://arxiv.org/abs/2411.03952
Autor:
Ifa, Abdelwaheb, Rouleux, Michel
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 Helffer and Sj\"ostrand
Externí odkaz:
http://arxiv.org/abs/2407.18893
Autor:
Bogaevskii, Ilya, Rouleux, Michel
Given a semiclassical distribution $f_h$ microlocalized on a Lagrangian manifold $\Lambda_0$, $H\in C^\infty( T^\ast {\bf R}^n)$, and $H=E$ a regular energy surface, we find asymptotic solutions of the PDE $(H(x,\widehat{p})-E) \, u_h (x,E)=f_h(x)$ i
Externí odkaz:
http://arxiv.org/abs/2311.08889
Autor:
Rouleux, Michel
We are interested in decay estimates of the ground state (or the low energy eigenstates), outside the potential wells, for a semi-classical Magnetic Schr\"odinger operator with smooth coefficients $P_A(x,hD_x)=(hD_x-\mu A(x))^2+V(x)$ on $L^2({\bf R}^
Externí odkaz:
http://arxiv.org/abs/2310.08190
Autor:
Gandolfo, Daniel, Rouleux, Michel
Using Pascal triangle, we give a simple generalization to the so-called STRAND Puzzle solved by Srinivasa Ramanujan. Thus we are interested in computing the median, first and third quartiles of some integer valued distributions, arising naturally whe
Externí odkaz:
http://arxiv.org/abs/2202.03387
In this report we present preliminary results about the tunneling problem for a magnetic Schr\"odinger operator. As a motivation we consider the 3-D time-dependent Schr\"odinger operator $H(t)=-h^2\Delta+V+E(t)\cdot x$ where $V$ is a radial potential
Externí odkaz:
http://arxiv.org/abs/2110.11942
Autor:
Rouleux, Michel
We are motivated by tripartite entanglement for fermions. While GHZ or W states involve 3-fold intrication, we consider here piecewise intrication of 3 fermions in ${\bf C}^2$, namely of type $ab+bc+ca$. Before interaction with Stern-Gerlach apparatu
Externí odkaz:
http://arxiv.org/abs/1910.04790
Autor:
Louati, Hanen, Rouleux, Michel
Publikováno v:
International Conference on PDE's and Applications in Memory of Professor B.Yu.Sternin , Nov 2018, Moscou, Russia
Let M = R n or possibly a Riemannian, non compact manifold. We consider semi-excited resonances for a h-differential operator H(x, hD x ; h) on L 2 (M) induced by a non-degenerate periodic orbit $\gamma$ 0 of semi-hyperbolic type, which is contained
Externí odkaz:
http://arxiv.org/abs/1907.05630
Autor:
Ifa, Abdelwaheb, Rouleux, Michel
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/hole scattering through two SNS junctions. This involves: 1) reducing
Externí odkaz:
http://arxiv.org/abs/1812.03323
Let $H(x,p)\sim H_0(x,p)+hH_1(x,p)+\cdots$ be a semi-classical Hamiltonian on $T^*{\bf R}^n$, and $\Sigma_E=\{H_0(x,p)=E\}$ a non critical energy surface. Consider $f_h$ a semi-classical distribution (the "source") microlocalized on a Lagrangian mani
Externí odkaz:
http://arxiv.org/abs/1808.00047