It is argued that electron can be treated as an anyon which carries a charge (-e) and a magnetic flux $\pm \frac{Φ_{0}}{2}$ in the presence and absence of a uniform external magnetic field. This flux is shown to arise due to the spin of the electron. The flux associated with the electron spin is calculated using a semi-classical model which is based on the magnetic top model. In accordance with spherical top model it is assumed that the spin angular momentum of the electron is produced by the fictitious point charge (-e) rotating in a circular orbit. It is shown that the flux through the circular orbit is independent of the radius and $\frac{Φ_{0}}{2}$ for a spin down electron and - $\frac{Φ_{0}}{2}$ for a spin up one. Where $Φ_{0}=\frac{hc}{e}$ is the flux quantum.It is argued that electron can be treated as an anyon which carries a charge (-e) and a magnetic flux $\pm \frac{Φ_{0}}{2}$ in the presence and absence of a uniform external magnetic field. This flux is shown to arise due to the spin of the electron. The flux associated with the electron spin is calculated using a semi-classical model which is based on the magnetic top model. In accordance with spherical top model it is assumed that the spin angular momentum of the electron is produced by the fictitious point charge (-e) rotating in a circular orbit. It is shown that the flux through the circular orbit is independent of the radius and $\frac{Φ_{0}}{2}$ for a spin down electron and -$\frac{Φ_{0}}{2}$ for a spin up one. Where $Φ_{0}=\frac{hc}{e}$ is the flux quantum.

arXiv:physics/0205038May 13, 20021 citation

The magnetic top as a model of quantum spin

A. O. Barut, Mirjana Božić, Z. Marić

Annals of PhysicsFeb 1, 199241 citations

Quantization in a Magnetic Field

Radu Purice, Viorel Iftimie, Marius Măntoiu

Springer eBooksSep 21, 20120 citations

Semi-classical States in the Context of Constrained Systems

Ghanashyam Date, Parampreet Singh

Algebraic quantization scheme has been proposed as an extension of the Dirac quantization scheme for constrained systems. Semi-classical states for constrained systems is also an independent and important issue, particularly in the context of quantum geometry. In this work we explore this issue within the framework of algebraic quantization scheme by means of simple explicit examples. We obtain semi-classical states as suitable coherent states a la Perelomov. Remarks on possible generalizations are also included.Algebraic quantization scheme has been proposed as an extension of the Dirac quantization scheme for constrained systems. Semi-classical states for constrained systems is also an independent and important issue, particularly in the context of quantum geometry. In this work we explore this issue within the framework of algebraic quantization scheme by means of simple explicit examples. We obtain semi-classical states as suitable coherent states a la Perelomov. Remarks on possible generalizations are also included.

arXiv:quant-ph/0109127Sep 25, 20011 citation

It is argued that electron can be treated as an anyon which carries a charge (-e) and a magnetic flux

\pm \frac{Φ_{0}}{2}

in the presence and absence of a uniform external magnetic field. This flux is shown to arise due to the spin of the electron. The flux associated with the electron spin is calculated using a semi-classical model which is based on the magnetic top model. In accordance with spherical top model it is assumed that the spin angular momentum of the electron is produced by the fictitious point charge (-e) rotating in a circular orbit. It is shown that the flux through the circular orbit is independent of the radius and

\frac{Φ_{0}}{2}

for a spin down electron and -

\frac{Φ_{0}}{2}

for a spin up one. Where

Φ_{0}=\frac{hc}{e}

is the flux quantum.