The Fedosov manifolds and magnetic monopole

TL;DR

This paper generalizes Fedosov manifolds to non-symplectic settings, enabling the study of systems like charged particles in magnetic monopole fields within a broader geometric framework.

Contribution

It introduces a non-symplectic generalization of Fedosov manifolds to include non-Lagrangian systems such as magnetic monopoles.

Findings

Structure of phase space for charged particles in magnetic monopole fields analyzed

Generalization extends Hamiltonian mechanics to non-symplectic manifolds

Provides geometric tools for non-Lagrangian physical systems

Abstract

A non-symplectic generalization of Hamiltonian mechanics is considered. It allows include into consideration "non-Lagrange" systems, such as theory of charged particle in the field of magnetic monopole. The corresponding generalization for the Fedosov manifolds is given. The structure of phase space of "charged particle in the field of magnetic monopole" is studied.