3 papers
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…
math-ph2021
On Soliton Resolution for a Lattice
N. Hatzizisis, S. Kamvissis
The soliton resolution conjecture for evolution PDEs of dispersive type states (vaguely) that generic initial data of finite energy give rise asymptotically to a set of receding so…
math-ph2021
Semiclassical WKB Problem for the Non-Self-Adjoint Dirac Operator with a Multi-Humped Decaying Potential
Nicholas Hatzizisis, Spyridon Kamvissis
In this paper we continue the study (initiated in arXiv:2003.13584) of the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a real, positive,…