Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators
From MaRDI portal
Publication:544669
DOI10.1215/00127094-2011-006zbMath1216.81071arXiv0911.1671OpenAlexW2949170391MaRDI QIDQ544669
Yoram Last, Jonathan Breuer, Yossef Strauss
Publication date: 15 June 2011
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.1671
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items
Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators, Conductance and absolutely continuous spectrum of 1D samples, Schrödinger operators with dynamically defined potentials, Upper bounds on wavepacket spreading for random Jacobi matrices, The Fibonacci Hamiltonian, Quantum quasiballistic dynamics and thick point spectrum, Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian, Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Upper bounds on wavepacket spreading for random Jacobi matrices
- Quantum dynamics via complex analysis methods: general upper bounds without time-averaging and tight lower bounds for the strongly coupled Fibonacci Hamiltonian
- Sur le spectre des opérateurs aux différences finies aléatoires
- Zero measure spectrum for the almost Mathieu operator
- Power-law bounds on transfer matrices and quantum dynamics in one dimension
- Dynamical upper bounds for one-dimensional quasicrystals
- Fractal dimensions and the phenomenon of intermittency in quantum dynamics
- Transfer matrices and transport for Schrödinger operators.
- Intermittent lower bound on quantum diffusion
- Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains
- Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension
- Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading
- Quantum dynamics and decompositions of singular continuous spectra
- Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
- Upper bounds in quantum dynamics
- Spectral and dynamical properties of certain random Jacobi matrices with growing parameters
- Dynamical upper bounds on wavepacket spreading
- UPPER BOUNDS FOR QUANTUM DYNAMICS GOVERNED BY JACOBI MATRICES WITH SELF-SIMILAR SPECTRA
- Fine structure of the zeros of orthogonal polynomials IV: A priori bounds and clock behavior
