We obtain a system of identities relating boundary coefficients and spectral data for the one-dimensional Schrödinger equation with boundary conditions containing rational Herglotz–Nevanlinna functions of the eigenvalue parameter. These identities can be thought of as a kind of mini version of the Gelfand–Levitan integral equation for boundary coefficients only
AbstractWe consider the direct and inverse spectral problems for Dirac operators that are generated ...
This thesis investigates Lieb-Thirring and Cwikel-Lieb-Rozenblum (CLR) type inequalities for Schrödi...
In this paper, we investigate the three-dimensional Schrodinger operator with a periodic, relative t...
We solve the inverse spectral problem for a class of Sturm - Liouville operators with singular nonlo...
In this article, an impulsive Sturm–Liouville boundary value problem with boundary conditions contai...
AbstractNecessary and sufficient conditions are given for two sequences λn and ρn to be the eigenval...
We consider the form of eigenfunction expansions associated with the time-independent Schrödinger op...
In this thesis, we study the spectrum of Schrödinger operators with complex potentials and Dirichle...
International audienceWe consider the inverse problem of determining the potential in the dynamical ...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
[[abstract]]Abstract.In this paper, we study the inverse spectral problems for Sturm–Liouville equat...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
AbstractWe consider the regular Sturm–Liouville problem y″−py+(λ+q/(u−λ))y=0, which contains the eig...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
AbstractWe consider the direct and inverse spectral problems for Dirac operators that are generated ...
This thesis investigates Lieb-Thirring and Cwikel-Lieb-Rozenblum (CLR) type inequalities for Schrödi...
In this paper, we investigate the three-dimensional Schrodinger operator with a periodic, relative t...
We solve the inverse spectral problem for a class of Sturm - Liouville operators with singular nonlo...
In this article, an impulsive Sturm–Liouville boundary value problem with boundary conditions contai...
AbstractNecessary and sufficient conditions are given for two sequences λn and ρn to be the eigenval...
We consider the form of eigenfunction expansions associated with the time-independent Schrödinger op...
In this thesis, we study the spectrum of Schrödinger operators with complex potentials and Dirichle...
International audienceWe consider the inverse problem of determining the potential in the dynamical ...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
[[abstract]]Abstract.In this paper, we study the inverse spectral problems for Sturm–Liouville equat...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
AbstractWe consider the regular Sturm–Liouville problem y″−py+(λ+q/(u−λ))y=0, which contains the eig...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
AbstractWe consider the direct and inverse spectral problems for Dirac operators that are generated ...
This thesis investigates Lieb-Thirring and Cwikel-Lieb-Rozenblum (CLR) type inequalities for Schrödi...
In this paper, we investigate the three-dimensional Schrodinger operator with a periodic, relative t...