Zobrazeno 1 - 10
of 61
pro vyhledávání: '"fujiie, Setsuro"'
We consider a 1D $2\times 2$ matrix-valued operator \eqref{System0} with two semiclassical Schr\"odinger operators on the diagonal entries and small interactions on the off-diagonal ones. When the two potentials cross at a turning point with contact
Externí odkaz:
http://arxiv.org/abs/2402.19219
This paper is concerned with the asymptotics of resonances in the semiclassical limit $h\to 0^+$ for $2\times 2$ matrix Schr\"odinger operators in one dimension. We study the case where the two underlying classical Hamiltonian trajectories cross tang
Externí odkaz:
http://arxiv.org/abs/2211.11651
In this paper we examine the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a rapidly oscillating potential that is complex analytic in some neighborhood of the real line. Some of our results are rigorous and
Externí odkaz:
http://arxiv.org/abs/2204.07089
We construct a semiclassical Schr\"{o}dinger operator such that the imaginary part of its resonances closest to the real axis changes by a term of size $h$ when a real compactly supported potential of size $o ( h )$ is added.
Comment: 14 pages,
Comment: 14 pages,
Externí odkaz:
http://arxiv.org/abs/2005.10035
Autor:
Assal, Marouane, Fujiié, Setsuro
We study the asymptotic distribution of the eigenvalues of a one-dimensional two-by-two semiclassical system of coupled Schr\"odinger operators in the presence of two potential wells and with an energy-level crossing. We provide Bohr-Sommerfeld quant
Externí odkaz:
http://arxiv.org/abs/1910.01195
Publikováno v:
In Journal of Differential Equations 5 July 2023 360:90-150
We study the existence and location of the resonances of a $2\times 2$ semiclassical system of coupled Schr\"odinger operators, in the case where the two electronic levels cross at some point, and one of them is bonding, while the other one is anti-b
Externí odkaz:
http://arxiv.org/abs/1904.12511
Autor:
Fujiié, Setsuro, Kamvissis, Spyridon
In this paper we examine the semiclassical behaviour of the scattering data of a non-self-adjoint Dirac operator with analytic potential decaying at infinity. In particular, employing the exact WKB method, we provide the complete rigorous uniform sem
Externí odkaz:
http://arxiv.org/abs/1904.05697
In the framework of semiclassical resonances, we make more precise the link between polynomial estimates of the extension of the resolvent and propagation of the singularities through the trapped set. This approach makes it possible to eliminate infi
Externí odkaz:
http://arxiv.org/abs/1704.03798
Autor:
Fujiié, Setsuro, Wittsten, Jens
Publikováno v:
Discrete & Continuous Dynamical Systems - A, 2018, 38 (8) : 3851-3873
Bohr-Sommerfeld type quantization conditions of semiclassical eigenvalues for the non-selfadjoint Zakharov-Shabat operator on the circle are derived using an exact WKB method. The conditions are given in terms of the action associated with the unit c
Externí odkaz:
http://arxiv.org/abs/1703.08352