# Spectral theory for one-body Stark operators

## TL;DR

This paper develops spectral theory for one-body Stark operators using commutator techniques, establishing key results like Rellich's theorem and the limiting absorption principle within Besov spaces.

## Contribution

It introduces a novel approach to spectral analysis of Stark Hamiltonians employing commutator methods in Besov space frameworks.

## Key findings

- Proved Rellich's theorem for Stark operators
- Established the limiting absorption principle in Besov spaces
- Derived radiation condition bounds and Sommerfeld's theorem

## Abstract

We investigate spectral theory for a large class of one-body Stark Hamiltonians using a commutator technique. Our results include Rellich's theorem, the limiting absorption principle, radiation condition bounds and Sommerfeld's uniqueness theorem, all stated and proved in the framework of Besov spaces.