Magneto-electric Effect and Magnetic Charge

TL;DR

This paper demonstrates that certain excited states of hydrogen exhibit a magneto-electric effect leading to magnetic charge, confirmed by independent methods, and proposes an experiment to detect these magnetic charges.

Contribution

It introduces a new theoretical prediction of magnetic charge in hydrogen excited states due to the magneto-electric effect, supported by independent confirmation.

Findings

Hydrogen excited states can have magnetic charge due to magneto-electric effect.

Magnetic charge in these states is given by g=3n/(n-2)e.

An experimental approach is proposed to detect the magnetic charge.

Abstract

It is shown that both the electric and magnetic dipole moment vectors of hydrogen atom in the excited states with wave function $$ u_n^{(\pm)} = {1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(\theta\phi) \pm R_{n,n-2}(r) Y_{n-2,\pm (n-2)}(\theta\phi)]$$ align themselves in the direction of an external uniform electric field which is characteristic of magneto-electric effect. These states are found to have magnetic charge $g={3n\over (n-2)e}$ on account of this effect. This result is confirmed by an independent method. An experiment is suggested to fabricate these states and detect the magnetic charge. It ma be worth noting that inspite of many experimental searchs, magnetic charge, whose existence has been theorized both in electrodynamics and non-abelian gauge theories, none have been found so far, nor there exist any suggstion as to where these are to be found.