Abstract
The quantum electrodynamic (QED) behaviour is studied for quantum Hall effect (QHE). Quantum theory with conjecture of fractional charge quantization (quantum dipole moment), eigenfunctions for fractional charge quantization at the surface of a twisted and twigged electron quanta and above its surface, fractional Fourier transform and Hermite function for fractional charge quantization is developed. With energy eigen value equation for QHE and with energy operator on an eigenfunction of a twisted and twigged electron quanta, the corresponding eigenfunctions are normalized with Schrodinger’s quantum wave mechanical equation for electric scalar and magnetic potentials, respectively (QED behavior). The fractional electric and magnetic fields with their corresponding potentials for the quantized fractional states in semiconducting hereto structures are theoretically calculated. Such mathematical expressions are in good agreement with experimental results of Nobel Prize winning scientists Klitzing, Haroche, Peter and Gruebber. Our results can also explain the hybridized states of orbits with emphasis on sigma and pi bonding and their corresponding antibonding orbitals as a manifestation of electrophilic and nucleophilic chemical reactions.
Highlights
Von Klitzing in the year 1987 won the Nobel Prize for physics on deciphering quantum Hall effect in heteoro-How to cite this paper: Iqbal, S., Zafar, M., Sarwar, F., Raza, S.M. and Rana, M.A. (2016) Application of Electrodynamic Theory on Quantum Hall Effect
Wineland produced exciting experimental results on “individual quantum systems”, without destroying the particle or quanta which led for them the Nobel prize winning award in physics 2012 “for ground-breaking experimental methods that enable measuring and manipulation of individual quantum systems” [3] [4]
We recently proposed with our conjuncture of fractional charge quantization, the measuring techniques of quantum behaviour for electric resistivity, dielectricity, giant magneto resistances (GMR) [8], Hall effect and conductance [9]
Summary
Von Klitzing in the year 1987 won the Nobel Prize for physics on deciphering quantum Hall effect in heteoro-How to cite this paper: Iqbal, S., Zafar, M., Sarwar, F., Raza, S.M. and Rana, M.A. (2016) Application of Electrodynamic Theory on Quantum Hall Effect. With theory of fractional charge quantization for a free electron quanta above the surface, the shape of eigen functions, the energy eigen values and the quantum scattering for absorption in the matter are studied [13]. For a twisted and twigged electron quanta in semiconductor heteorostructures one would like to know the quantum electrodynamic behaviour, especially in this study for QHE.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
