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Foundations of Physics

, Volume 21, Issue 11, pp 1329–1333 | Cite as

U(1) gauge theory of the quantum hall effect

  • C. Dariescu
  • Marina Dariescu
Article

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.

Keywords

Magnetic Field Gauge Theory Scalar Field Symmetry Breaking Hall Effect 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    T. P. Cheng and L. F. Li,Gauge Theory of Elementary-Particle Physics (Clarendon Press, Oxford, 1984).Google Scholar
  2. 2.
    N. Straumann,Quantenfeldtheorie und Kosmologie (DPG Schule, Bad Honnef, 1990).Google Scholar
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    P. S. Kireev,Fizica Semiconductorilor (Edit. St. si Enciclop., Bucuresti, 1977).Google Scholar
  4. 4.
    L. Landau and E. Lifchitz,Mécanique quantique (Mir, Moscow, 1980).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • C. Dariescu
    • 1
  • Marina Dariescu
    • 1
  1. 1.Department of Theoretical PhysicsUniversity “Al. I. Cuza,”IassyRomania

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