Abstract
The solution of the Klein-Gordon equation for a complex scalar field in the presence of an electrostatic field orthogonal to a magnetostatic field is analyzed. Considerations concerning the quantum Hall-type evolution are presented also. Using the Hamiltonian with a self-interaction term, we obtain a critical value for the magnetic field in the case of the spontaneous symmetry breaking.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. P. Cheng and L. F. Li,Gauge Theory of Elementary-Particle Physics (Clarendon Press, Oxford, 1984).
N. Straumann,Quantenfeldtheorie und Kosmologie (DPG Schule, Bad Honnef, 1990).
P. S. Kireev,Fizica Semiconductorilor (Edit. St. si Enciclop., Bucuresti, 1977).
L. Landau and E. Lifchitz,Mécanique quantique (Mir, Moscow, 1980).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dariescu, C., Dariescu, M. U(1) gauge theory of the quantum hall effect. Found Phys 21, 1329–1333 (1991). https://doi.org/10.1007/BF00732835
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00732835