On an extension of the Iwatsuka model

Abstract

We prove absolute continuity for an extended class of two-dimensional magnetic Hamiltonians that were initially studied by A. Iwatsuka. In particular, we add an electric field that is translation invariant in the same direction as the magnetic field is. As an example, we study the effective Hamiltonian for a thin quantum layer in a homogeneous magnetic field.

References in corpus (2)

• Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip
• Energetic and dynamic properties of a quantum particle in a spatially random magnetic field with constant correlations along one direction

Cited by in corpus (5)

• A geometric Iwatsuka type effect in quantum layers
• Absence of embedded eigenvalues for translationally invariant magnetic Laplacians
• Qualitative analysis of magnetic waveguides for two-dimensional Dirac fermions
• Band functions of Iwatsuka models : power-like and flat magnetic fields
• Spectrum of the Iwatsuka Hamiltonian at thresholds