## Quantum Hall Effect for Dyons

**Authors:** Pawan Kumar Joshi, O.P.S.Negi

Considering the generalized charge and generalized four potential associated of dyons as complex quantities with their real and imaginary parts as electric and magnetic constituents, in this present discussion we have constructed a gauge covariant and rotational symmetric angular momentum operator for dyons in order to analyze the integer and fractional quantum Hall effect. It has been shown that the commutation relations of angular momentum operator possesses a higher symmetry to reproduce the eigen values and eigen function Lowest Landau Level (LLL) for quantum Hall system. The LLL has also been constructed in terms of I^{st}
Hopf map \left(S^{3}\rightarrow S^{2}\right)
and it is concluded that dyons are more suitable object to investigate the existence of quantum Hall effect (both integer and fractional )

**Comments:** 16 Pages.

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### Submission history

[v1] 2016-09-08 22:02:39

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