U(1) gauge theory of the quantum hall effect

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Foundations of Physics 21 (11):1329-1333 (1991)
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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

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10.1007/bf00732835

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