scholarly journals Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum

1997 ◽  
Vol 179 (2) ◽  
pp. 153-196 ◽  
Author(s):  
L. H. Eliasson
Keyword(s):  
Point Spectrum ◽  
Schrödinger Operators ◽  
Pure Point ◽  
Pure Point Spectrum ◽  
Schrodinger Operators ◽  
One Dimensional

scholarly journals Magnetic Schrödinger Operators with Discrete Spectra on Non-Compact Kähler Manifolds

2012 ◽  
Vol 20 (2) ◽  
pp. 11-20
Author(s):  
Nicolae Anghel
Keyword(s):  
Point Spectrum ◽  
Schrödinger Operators ◽  
Pure Point ◽  
Pure Point Spectrum ◽  
Schrodinger Operators ◽  
Type Problem ◽  
Dirac Type ◽  
Discrete Spectra ◽  
Parallel Spinor ◽  
Discreteness Criterion

Abstract We identify a class of magnetic Schrödinger operators on Käler manifolds which exhibit pure point spectrum. To this end we embed the Schröinger problem into a Dirac-type problem via a parallel spinor and use a Bochner-Weitzenböck argument to prove our spectral discreteness criterion

scholarly journals LOCALIZATION FOR ONE DIMENSIONAL LONG RANGE RANDOM HAMILTONIANS

1999 ◽  
Vol 11 (01) ◽  
pp. 103-135 ◽  
Author(s):  
VOJKAN JAKŠIĆ ◽  
STANISLAV MOLCHANOV
Keyword(s):  
Long Range ◽  
Spectral Properties ◽  
Schrödinger Operators ◽  
Pure Point ◽  
Random Schrödinger Operators ◽  
Schrodinger Operators ◽  
One Dimensional ◽  
Free Part ◽  
Random Hamiltonians

We study spectral properties of random Schrödinger operators hω=h0+vω(n) on l2(Z) whose free part h0 is long range. We prove that the spectrum of hω is pure point for typical ω whenever the off-diagonal terms of h0 decay as |i-j|-γ for some γ>8.

A pure point spectrum of the stochastic one-dimensional schr�dinger operator

1977 ◽  
Vol 11 (1) ◽  
pp. 1-8 ◽  
Author(s):  
I. Ya. Gol'dshtein ◽  
S. A. Molchanov ◽  
L. A. Pastur
Keyword(s):  
Point Spectrum ◽  
Pure Point ◽  
Pure Point Spectrum ◽  
One Dimensional

scholarly journals Reflection Probabilities of One-Dimensional Schrödinger Operators and Scattering Theory

2017 ◽  
Vol 18 (6) ◽  
pp. 2075-2085 ◽  
Author(s):  
Benjamin Landon ◽  
Annalisa Panati ◽  
Jane Panangaden ◽  
Justine Zwicker
Keyword(s):  
Scattering Theory ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
One Dimensional
Sign in / Sign up

Export Citation Format

Share Document