Dynamics of an electron confined to a "hybrid plane" and interacting with a magnetic field

Abstract

We discuss spectral and resonance properties of a Hamiltonian describing motion of an electron moving on a "hybrid surface" consisting on a halfline attached by its endpoints to a plane under influence of a constant magnetic field which interacts with its spin through a Rashba-type term.

16 pages, 2 pdf figures; a changed title and minor improvements, to appear in Rep. Math. Phys

References in corpus (6)

• Scattering matrices and Weyl functions
• Large gaps in point-coupled periodic systems of manifolds
• A remark on Krein's resolvent formula and boundary conditions
• A "hybrid plane" with spin-orbit interaction
• Explicit Green functions for spin-orbit Hamiltonians
• On the number of bound states for weak perturbations of spin-orbit Hamiltonians

Cited by in corpus (5)

• Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
• A quantum hybrid with a thin antenna at the vertex of a wedge
• Spectrum of a family of spin-orbit coupled Hamiltonians with singular perturbation
• Computation of unitary group for the Rashba spin-orbit coupled operator, with application to point-interactions
• The search for NLS ground states on a hybrid domain: Motivations, methods, and results