Motion in Periodic Potentials
arXiv:cond-mat/9710169 · doi:10.1088/0951-7715/11/1/011
Abstract
We consider motion in a periodic potential in a classical, quantum, and semiclassical context. Various results on the distribution of asymptotic velocities are proven.
41 pages, 5 figures
Cited by in corpus (25)
- Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems
- Spectral Stability of Unitary Network Models
- Ballistic Transport for Limit-Periodic Jacobi Matrices with Applications to Quantum Many-Body Problems
- On transport properties of isotropic quasiperiodic spin chains
- Ballistic Transport in One-Dimensional Quasi-Periodic Continuous Schrödinger Equation
- Ballistic Motion in One-Dimensional Quasi-Periodic Discrete Schrödinger Equation
- Quantum Transport on KAM Tori
- Growth of Sobolev Norms in 1-d Quantum Harmonic Oscillator with Polynomial Time Quasi-periodic Perturbation
- Ballistic Transport for the Schrödinger Operator with Limit-Periodic or Quasi-periodic Potential in Dimension Two
- A new spectral analysis of stationary random Schrödinger operators
- Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit
- A Bloch decomposition-based stochastic Galerkin method for quantum dynamics with a random external potential
- Exponential tail estimates for quantum lattice dynamics
- Suppressed dispersion for a randomly kicked quantum particle in a Dirac comb
- Ballistic transport for one-dimensional quasiperiodic Schrödinger operators
- On the relation between strong ballistic transport and exponential dynamical localization
- Diffusion in the Mean for an Ergodic Schrödinger Equation Perturbed by a Fluctuating Potential
- Ballistic Transport and Absolute Continuity of One-Frequency Schrödinger Operators
- Classical Motion in Random Potentials
- Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential
- A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
- Stability of the electron cyclotron resonance
- Ballistic Transport for Schrödinger Operators with Quasi-periodic Potentials
- Ballistic Transport for Periodic Jacobi Operators on
- Ballistic transport in random magnetic fields with anisotropic long-ranged correlations