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

被引：2

作者：

Geyler, VA ^{[1
]}

Popov, IY

机构：

[1] Mordovian NP Ogarev State Univ, Dept Math, Saransk 430000, Russia

[2] Leningrad Inst Fine Mech, Dept Higher Math, St Petersburg 197101, Russia

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1998年 / 454卷 / 1970期

关键词：

double quantum layer; magnetic field; Landau operator; solvable model; operator extension theory; periodic array;

D O I：

10.1098/rspa.1998.0181

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：697 / 705

页数：9

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