DocumentCode :
1311354
Title :
Towards a Unified Approach to Electromagnetic Fields and Quantum Currents From Dirac Spinors
Author :
Rozzi, Tullio ; Mencarelli, Davide ; Pierantoni, Luca
Author_Institution :
Dept. of Electromagn., Polytech. Univ. of Marche, Ancona, Italy
Volume :
59
Issue :
10
fYear :
2011
Firstpage :
2587
Lastpage :
2594
Abstract :
Modeling the combined electromagnetic (EM)/quantum transport problem in graphene circuits requires the development of novel concepts and novel unified tools. In this paper, we further explore the correlation between Dirac and Maxwell equations, in the time domain, where we derive the transmission-line equations, valid for both EM and quantum current. This is a step forward toward an effective integration of the Dirac theory in the numerical simulation of EM field problems and introducing EM concepts and simulators to describe quantum transport. We show that the familiar Telegrapher´s equations can be readapted in order to investigate the mechanisms that govern the space-time evolution of Dirac spinors; two significant examples, having a double quantum/EM meaning, are provided. Final considerations about associated quantum current have also been reported.
Keywords :
Dirac equation; Maxwell equations; electromagnetic field theory; numerical analysis; transmission line theory; Dirac spinor theory; EM field problems; Maxwell equations; electromagnetic fields; graphene circuits; numerical simulation; quantum currents; quantum transport problem; space-time evolution; telegrapher equations; transmission-line equations; Electric potential; Laplace equations; Mathematical model; Maxwell equations; Time domain analysis; Trajectory; Dirac equation; Telegrapher´s equations; electromagnetic (EM) theory; four vector spinor;
fLanguage :
English
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9480
Type :
jour
DOI :
10.1109/TMTT.2011.2163168
Filename :
6006558
Link To Document :
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