Electron Monopole Duality in Quantum Hall Effect

Pawan Ku. Joshi, Praveen Singh Bisht, Om Prakash Singh Negi

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DOI: 10.4236/jemaa.2011.31004                

Abstract

Starting from the duality between electric and magnetic field, we have made an attempt to discuss the quantum hall effect from the consideration of magnetic monopole in view of electron monopole duality. Starting from the dual dy-namics of electric and magnetic charges, we have reformulated a consistent theory of quantum hall effect in presence of monopole. Speculating the existence of magnetic monopoles in magnetic materials (metals), we have accordingly modi-fied the parameters; like drift velocity, current density, Hamiltonian and eigen values and eigen function for harmonic oscillator; resposible to examine the quantum Hall effect in metals.

Keywords

Hall Effect, Monopole, Quantum Mechanics

Conflicts of Interest

The authors declare no conflicts of interest.

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