On the number of bound states for weak perturbations of spin-orbit Hamiltonians

TL;DR

This paper proves that weak perturbations of certain spin-orbit Hamiltonians, including Rashba and Dresselhaus types, lead to infinitely many bound states below the continuous spectrum using a variational approach.

Contribution

It provides a variational proof demonstrating the existence of infinitely many bound states for weak perturbations of spin-orbit Hamiltonians, extending previous results.

Findings

Infinitely many bound states exist under weak perturbations.

The proof applies to Rashba and Dresselhaus Hamiltonians.

Bound states appear below the continuous spectrum.

Abstract

We give a variational proof of the existence of infinitely many bound states below the continuous spectrum for some weak perturbations of a class of spin-orbit Hamiltonians including the Rashba and Dresselhaus Hamiltonians.