Author(s): Bertola M; Chavez-Heredia E; Grava T;

Using WKB analysis, the paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the set the values of t ∈ C for which the spectrum of the quartic anharmonic oscillator in the complex plane d 2 y d x 2 - x 4 + t x 2 + 2 J x y = Λ y , with certain boundar ...

Article GUID: 38983592

Author(s): Bertola M; Grava T; Orsatti G;

We first consider a deterministic gas of N solitons for the focusing nonlinear Schrödinger (FNLS) equation in the limit N?8 with a point spectrum chosen to interpolate a given spectral soliton density over a bounded domain of the complex spectral plane. We show that when the domain is a disk and the soliton density is an analytic function, then the corres ...

Article GUID: 37027854

Author(s): Bertola M; Blackstone E; Katsevich A; Tovbis A;

In this paper we study the spectra of bounded self-adjoint linear operators that are related to finite Hilbert transforms H L : L 2 ( [ b L , 0 ] ) → L 2 ( [ 0 , b R ] ) and H R : L 2 ( [ 0 , b R ] ) → L 2 ( [ b L , 0 ] ) . These operators arise when one studies the interior problem of tomography. The diagonalization of H R , H L ha ...

Article GUID: 32684912

Author(s): Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, Dudley JM

Phys Rev Lett. 2017 Jul 21;119(3):033901 Authors: Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, Dudley JM

Article GUID: 28777604