Boundedness of propagators for Dirac equations with potentials on Wiener amalgam spaces

TL;DR

This paper proves that propagators for Dirac equations with certain unbounded, time-dependent potentials are bounded on Wiener amalgam spaces, including potentials like Stark and harmonic types.

Contribution

It establishes boundedness of Dirac propagators with unbounded potentials on Wiener amalgam spaces, extending previous results to more general potential classes.

Findings

Boundedness of Dirac propagators with unbounded potentials.

Inclusion of Stark and harmonic potentials in the analysis.

Extension of boundedness results to Wiener amalgam spaces.

Abstract

In this paper we prove boundedness of propagators for Dirac equations with unbounded time-dependent potentials on Wiener amalgam spaces. In particular we deal with class of potentials such as including Stark and harmonic potentials.