Add to ORKGMI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」The spectrum of discrete Schrödinger operator L + V on the d-dimensional lattice is considered, where L denotes the discrete Laplacian and V a delta function with mass at a single point. Eigenvalues of L + V are specified and the absence of singular continuous spectrum is proven. In particular it is shown that an embedded eigenvalue does appear for d ≥ 5 but does not for 1 ≤ d ≤ 4
On the d-dimensional lattice (Formula presented.) and the r-regular tree (Formula presented.), an ex...
This paper reports the spectral features of two-particle Schrödinger Hamiltonian operator on d-dimen...
[[abstract]]In this paper, we investigate the one-dimensional discrete Schrodinger equation with gen...
summary:A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an impor...
In this article, we investigate the discreteness and some other properties of the spectrum for the S...
A new method to prove the absence of positive discrete spectrum of the Schrödinger operator is given...
The behaviour of the spectral edges (embedded eigenvalues and resonances) is discussed at the two en...
The spectrum of discrete Schrödinger operator L + V on the d-dimensional lattice is considered, wher...
On the d- dimensional lattice 2 , 1 , d d Z the discrete Schrödinger operator H with non- local...
We prove that −Δ+V has purely discrete spectrum if V ≥ 0 and, for all M, |{x | V (x)<M}| < ∞ and var...
We consider discrete one-dimensional Schrödinger operators with minimally ergodic, aperiodic potenti...
summary:We study conditions of discreteness of spectrum of the functional-differential operator \[ \...
summary:A new method for computation of eigenvalues of the radial Schrödinger operator $-d^2/dx^2+v(...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
On the d-dimensional lattice (Formula presented.) and the r-regular tree (Formula presented.), an ex...
This paper reports the spectral features of two-particle Schrödinger Hamiltonian operator on d-dimen...
[[abstract]]In this paper, we investigate the one-dimensional discrete Schrodinger equation with gen...
summary:A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an impor...
In this article, we investigate the discreteness and some other properties of the spectrum for the S...
A new method to prove the absence of positive discrete spectrum of the Schrödinger operator is given...
The behaviour of the spectral edges (embedded eigenvalues and resonances) is discussed at the two en...
The spectrum of discrete Schrödinger operator L + V on the d-dimensional lattice is considered, wher...
On the d- dimensional lattice 2 , 1 , d d Z the discrete Schrödinger operator H with non- local...
We prove that −Δ+V has purely discrete spectrum if V ≥ 0 and, for all M, |{x | V (x)<M}| < ∞ and var...
We consider discrete one-dimensional Schrödinger operators with minimally ergodic, aperiodic potenti...
summary:We study conditions of discreteness of spectrum of the functional-differential operator \[ \...
summary:A new method for computation of eigenvalues of the radial Schrödinger operator $-d^2/dx^2+v(...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
On the d-dimensional lattice (Formula presented.) and the r-regular tree (Formula presented.), an ex...
This paper reports the spectral features of two-particle Schrödinger Hamiltonian operator on d-dimen...
[[abstract]]In this paper, we investigate the one-dimensional discrete Schrodinger equation with gen...