Alternative Description of Magnetic Monopoles in Quantum Mechanics
Samuel Kov\'a\v{c}ik, Peter Pre\v{s}najder
TL;DR
This paper introduces a novel approach to describing magnetic monopoles in quantum mechanics by extending the spatial framework into a complex two-dimensional space, reproducing known properties and conditions.
Contribution
It provides an alternative mathematical formulation of magnetic monopoles within quantum mechanics using complexified space, naturally satisfying the Dirac quantization condition.
Findings
Reproduces algebraic relations of monopoles
Satisfies Dirac quantization condition naturally
Generalizes monopole states in complex space
Abstract
We present an alternative description of magnetic monopoles by lifting quantum mechanics from 3-dimensional space into a one with 2 complex dimensions. Magnetic monopoles are realized as a generalization of the considered states. Usual algebraic relations and magnetic fields describing monopoles are reproduced, with the Dirac quantization condition satisfied naturally.
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