Lifshitz tails for quantum waveguides with random boundary conditions
DOI10.1007/s11040-019-9314-8zbMath1420.81012OpenAlexW2955074740MaRDI QIDQ2317990
Publication date: 13 August 2019
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11040-019-9314-8
General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Ergodic theorems, spectral theory, Markov operators (37A30) Quantum dots, waveguides, ratchets, etc. (81Q37) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral asymptotics for waveguides with perturbed periodic twisting
- Lifshits tails for randomly twisted quantum waveguides
- Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions
- On the discrete spectrum of a spatial quantum waveguide with a disc window
- Localization for the Anderson model on a strip with singular potentials
- Lifshitz tails for random perturbations of periodic Schrödinger operators
- Internal Lifshits tails for random perturbations of periodic Schrödinger operators.
- Quantum waveguides
- Lifshitz tails for acoustic waves in random quantum waveguide
- LIFSHITZ ASYMPTOTICS AND LOCALIZATION FOR RANDOM QUANTUM WAVEGUIDES
- Spectral and localization properties of the Dirichlet wave guide with two concentric Neumann discs
- A straight quantum wave guide with mixed Dirichlet and Neumann boundary conditions in uniform magnetic fields
- An Invitation to Random Schroedinger operators
- Windows of given area with minimal heat diffusion
- Exponential splitting of bound states in a waveguide with a pair of distant windows
- Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
- Geometric coupling thresholds in a two-dimensional strip
- Lifshitz tails for random acoustic operators
- Bound states and scattering in quantum waveguides coupled laterally through a boundary window
- Diffusion escape through a cluster of small absorbing windows
- On the Geometry of Optimal Windows, with Special Focus on the Square
This page was built for publication: Lifshitz tails for quantum waveguides with random boundary conditions
