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.
Download: PDF
[v1] 2016-09-08 22:02:39
Unique-IP document downloads: 170 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.