Asymptotics of resolvent integrals: The suppression of crossings for analytic lattice dispersion relations
From MaRDI portal
Publication:871050
DOI10.1016/j.matpur.2006.11.003zbMath1108.37050arXivmath-ph/0604049OpenAlexW3103462946MaRDI QIDQ871050
Publication date: 15 March 2007
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0604049
Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Analytic algebras and generalizations, preparation theorems (32B05)
Related Items
Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory ⋮ Boltzmann limit for a homogeneous Fermi gas with dynamical Hartree-Fock interactions in a random medium ⋮ Kinetic limit for wave propagation in a random medium ⋮ Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids
Cites Work
- Unnamed Item
- The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
- Convergence in higher mean of a random Schrödinger to a linear Boltzmann evolution
- Kinetic limit for wave propagation in a random medium
- Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field
- Quantum diffusion for the Anderson model in the scaling limit
- Localization lengths and Boltzmann limit for the Anderson model at small disorders in dimension 3
- Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms
- Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
- THE LINEAR BOLTZMANN EQUATION AS THE LOW DENSITY LIMIT OF A RANDOM SCHRÖDINGER EQUATION