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

TL;DR

This paper investigates the spectral and resonance characteristics of an electron confined to a hybrid surface composed of a plane and a halfline, influenced by a magnetic field and spin interactions, revealing complex quantum behaviors.

Contribution

It introduces a model combining a plane and a halfline with magnetic and spin interactions, analyzing its spectral and resonance properties for the first time.

Findings

Spectral properties of the hybrid surface electron system elucidated.

Resonance phenomena identified under magnetic and spin interactions.

Impact of the hybrid geometry on electron dynamics demonstrated.

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.