Citation
Va. Geyler et Iy. Popov, SOLVABLE MODEL OF A DOUBLE-QUANTUM ELECTRON LAYER IN A MAGNETIC-FIELD, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 454(1970), 1998, pp. 697-705
Citations number
21
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Proceedings - Royal Society. Mathematical, physical and engineering sciences
ISSN journal
13645021
→ ACNP
Volume
454
Issue
1970
Year of publication
1998
Pages
697 - 705
Database
ISI
SICI code
1364-5021(1998)454:1970<697:SMOADE>2.0.ZU;2-H
Abstract
A solvable model of a double quantum electron layer in a magnetic fiel
d based on the theory of self-adjoint extensions of symmetric operator
s is suggested. The spectral problem reduces to a finite-dimensional o
ne through the use of harmonic analysis on a magnetic translations gro
up. 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.