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math-ph2025
Bohr--Sommerfeld rules for systems
Simon Becker, Setsuro Fujiié, Jens Wittsten
We present a complete, self-contained formulation of the Bohr--Sommerfeld quantization rule for a semiclassical self-adjoint system on the real line, arising from a si…
math-ph2022
Semiclassical resonance asymptotics for systems with degenerate crossings of classical trajectories
Marouane Assal, Setsuro Fujiié, Kenta Higuchi
This paper is concerned with the asymptotics of resonances in the semiclassical limit for matrix Schrödinger operators in one dimension. We study the case wh…
math-ph2022
Semiclassical WKB Problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential
Setsuro Fujiié, Nicholas Hatzizisis, Spyridon Kamvissis
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 som…