AbstractWe study the spectrum of Schrödinger operators with a uniform potential on the lth shell of the d-regular tree. As a result, we show the relationship between the spectral structure and the intensities of the potential. Furthermore we completely determine the discrete eigenvalues with their multiplicities. In addition we give some examples
We consider the one-dimensional discrete Schr\"odinger operator with complex-valued sparse periodic ...
A construction of "sparse potentials," suggested by the authors for the lattice ℤd, d gt; 2, is exte...
The integrable Schrödinger operators often have a singularity on the real line, which creates proble...
On the d-dimensional lattice (Formula presented.) and the r-regular tree (Formula presented.), an ex...
We consider the one dimensional discrete Schrödinger operator h = h_0 + V on the full line and half ...
The presented work offers an introduction to the theory of regular tree graphs and the associated Sc...
The behaviour of the spectral edges (embedded eigenvalues and resonances) is discussed at the two en...
The domain of this thesis is included in the general theory of discrete one dimensional random opera...
The domain of this thesis is included in the general theory of discrete one dimensional random opera...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
AbstractA spectral representation for the self-adjoint Schrödinger operator H = −Δ + V(x), x ϵ R3, i...
AbstractWe prove the existence of absolutely continuous spectrum for a class of discrete Schrödinger...
Abstract. We study the discreteness of the spectrum of SchrÄodinger oper-ators which are de¯ned on N...
summary:A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an impor...
We consider the one-dimensional discrete Schr\"odinger operator with complex-valued sparse periodic ...
A construction of "sparse potentials," suggested by the authors for the lattice ℤd, d gt; 2, is exte...
The integrable Schrödinger operators often have a singularity on the real line, which creates proble...
On the d-dimensional lattice (Formula presented.) and the r-regular tree (Formula presented.), an ex...
We consider the one dimensional discrete Schrödinger operator h = h_0 + V on the full line and half ...
The presented work offers an introduction to the theory of regular tree graphs and the associated Sc...
The behaviour of the spectral edges (embedded eigenvalues and resonances) is discussed at the two en...
The domain of this thesis is included in the general theory of discrete one dimensional random opera...
The domain of this thesis is included in the general theory of discrete one dimensional random opera...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
AbstractA spectral representation for the self-adjoint Schrödinger operator H = −Δ + V(x), x ϵ R3, i...
AbstractWe prove the existence of absolutely continuous spectrum for a class of discrete Schrödinger...
Abstract. We study the discreteness of the spectrum of SchrÄodinger oper-ators which are de¯ned on N...
summary:A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an impor...
We consider the one-dimensional discrete Schr\"odinger operator with complex-valued sparse periodic ...
A construction of "sparse potentials," suggested by the authors for the lattice ℤd, d gt; 2, is exte...
The integrable Schrödinger operators often have a singularity on the real line, which creates proble...
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