Back-scattering and nonlinear Radon transformation
Bethe ansatz solutions of the Bose-Hubbard dimer.
Darboux transformation for the nonstationary Schrödinger equation.
Gauge transformations and inverse quantum scattering with medium-range magnetic fields.
Inverse scattering problems in several dimensions
Inverse scattering theory for Dirac operators
Matrice de scattering et résonances associées à une orbite hétérocline
On non-overdetermined inverse scattering at zero energy in three dimensions
We develop the -approach to inverse scattering at zero energy in dimensions of [Beals, Coifman 1985], [Henkin, Novikov 1987] and [Novikov 2002]. As a result we give, in particular, uniqueness theorem, precise reconstruction procedure, stability estimate and approximate reconstruction for the problem of finding a sufficiently small potential in the Schrödinger equation from a fixed non-overdetermined (“backscattering” type) restriction of the Faddeev generalized scattering amplitude in the...
Properties of non-hermitian quantum field theories
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under , but not symmetric under and separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are and theories. These theories all have unexpected and remarkable properties. I discuss...
Riemann-Lebesgue properties of Green's functions with applications to inverse scattering.
Scattering and spectral theory for Stark Hamiltonians in one dimension.
Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations
The scattering matrix is defined on a perturbed stratified medium. For a class of perturbations, its main part at fixed energy is a Fourier integral operator on the sphere at infinity. Proving this is facilitated by developing a refined limiting absorption principle. The symbol of the scattering matrix determines the asymptotics of a large class of perturbations.
Structured matrix numerical solution of the nonlinear Schrödinger equation by the inverse scattering transform.
The inverse -body problem. A geometrical approach
The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation.
The Role of Green’s Functions in Inverse Scattering at Fixed Energy
Гармонический анализ в многосвязной области I
Гармонический анализ в многосвязной области II
Корреляционные функции в квантовом методе обратной задачи рассеяния
Метод обратной задачи для системы Захарова-Манакова