Operational methods and Lorentz-type equations of motion

TL;DR

This paper introduces an operational method leveraging quantum mechanics techniques to solve differential equations involving vector products, specifically applied to Lorentz-type equations in classical physics.

Contribution

It presents a novel operational approach using the evolution operator for solving vector differential equations, bridging quantum methods with classical problems.

Findings

Effective solution technique for Lorentz-type equations

Utilizes quantum evolution operator in classical context

Potential for broader application in vector differential equations

Abstract

We propose an operational method for the solution of differential equations involving vector products. The technique we propose is based on the use of the evolution operator, defined in such a way that the wealth of techniques developed within the context of quantum mechanics can also be exploited for classical problems. We discuss the application of the method to the solution of the Lorentz-type equations.