Solvable model of a double quantum electron layer in a magnetic field

A solvable model of a double quantum electron layer in a magnetic field based on the theory of self-adjoint extensions of symmetric operators is suggested. The spectral problem reduces to a finite-dimensional one through the use of harmonic analysis on a magnetic translations group. Properties of a...

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 1998-02, Vol.454 (1970), p.697-705
Main Authors: Geyler, V. A., Popov, I. Yu
Format: Article
Language:English
Subjects:
Double Quantum Layer
Electron tunneling
Electrons
Harmonic analysis
Landau levels
Landau Operator
Magnetic Field
Magnetic fields
Operator Extension Theory
Parametric models
Periodic Array
Quantum dots
Quantum tunneling
Quantum wells
Solvable Model
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Summary:A solvable model of a double quantum electron layer in a magnetic field based on the theory of self-adjoint extensions of symmetric operators is suggested. The spectral problem reduces to a finite-dimensional one through the use of harmonic analysis on a magnetic translations group. Properties of a gap between symmetric and antisymmetric states are discussed. The model gives a linear dependence of spectral parameters on a magnetic field B.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.1998.0181