Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing

DOI10.1007/s00220-018-3213-xzbMath1400.81103arXiv1709.05575OpenAlexW2756222189MaRDI QIDQ1989884

Alexander Watson, Michael I. Weinstein

Publication date: 29 October 2018

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

Full work available at URL: https://arxiv.org/abs/1709.05575

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Effective mass theorems with Bloch modes crossings ⋮ ThreeFold Weyl Points for the Schrödinger Operator with Periodic Potentials ⋮ Dynamics of Bloch–Zener Oscillations with Tuning Gap ⋮ Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials ⋮ Propagation of wave packets for systems presenting codimension one crossings ⋮ Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations ⋮ Wave Packets in the Fractional Nonlinear Schrödinger Equation with a Honeycomb Potential ⋮ Defect modes for dislocated periodic media ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ The bulk-edge correspondence for continuous dislocated systems

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