Random Hamiltonians ergodic in all but one direction

DOI10.1007/BF02096876zbMath0691.60053MaRDI QIDQ582699

H. Englisch, Barry Simon, Werner Kirsch, Manfred Schröder

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatordensity of statesergodic random potentials

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

The density of surface states as the total time delay, THE DENSITY OF STATES AND THE SPECTRAL SHIFT DENSITY OF RANDOM SCHRÖDINGER OPERATORS, Random time evolution and direct integrals: Constants of the motion and the mass operator, The band-edge behavior of the density of surfacic states, Quantization of edge currents along magnetic barriers and magnetic guides, Surface Lifshits tails for random quantum Hamiltonians, Spectra of open waveguides in periodic media, Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over \(\mathbb Z^d\), Wegner estimates for some random operators with Anderson-type surface potentials, A variational approach to dislocation problems for periodic Schrödinger operators, Spectral properties of grain boundaries at small angles of rotation, Regularity of the surface density of states, Localisation and delocalisation for a simple quantum wave guide with randomness, Wegner estimate for sparse and other generalized alloy type potentials, Dislocation Problems for Periodic Schrödinger Operators and Mathematical Aspects of Small Angle Grain Boundaries, Bound states for nano-tubes with a dislocation, Anderson localization and Lifshits tails for random surface potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost periodic Schrödinger operators. II: The integrated density of states
• One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types
• Infinite representability of Schrödinger operators with ergodic potential
• On a class of random Schrödinger operators
• Spectral properties of disordered systems in the one-body approximation
• Sur le spectre des opérateurs aux différences finies aléatoires
• Scattering theory for systems with different spatial asymptotics on the left and right
• On the spectrum of Schrödinger operators with a random potential
• Schrödinger semigroups
• Spectral properties of the general Sturm-Liouville equation with random coefficients I
• On the density of states of Schrodinger operators with a random potential
• SPECTRA OF RANDOM SELF ADJOINT OPERATORS