Umbral methods and operator ordering

TL;DR

This paper introduces new operator ordering rules using umbral methods and formal power series, highlighting their potential applications in quantum field theory.

Contribution

It presents novel operator ordering rules derived from umbral techniques and exponential operators, expanding the mathematical toolkit for quantum field theory.

Findings

New operator ordering rules established

Application of formal power series to exponential operators

Potential usefulness in quantum field theory

Abstract

By using methods of umbral nature, we discuss new rules concerning the operator ordering. We apply the technique of formal power series to take advantage from the wealth of properties of the exponential operators. The usefulness of the obtained results in quantum field theory is discussed.