STARK WANNIER LADDERS

被引：24

作者：

BENTOSELA, F

GRECCHI, V

机构：

[1] UNIV AIX MARSEILLE 2,FAC SCI LUMINY,F-13007 MARSEILLE,FRANCE

[2] UNIV BOLOGNA,DIPARTMENTO MATEMAT,I-40126 BOLOGNA,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 142卷 / 01期

关键词：

D O I：

10.1007/BF02099175

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the Schrodinger equation for an electron in a one dimensional crystal submitted to a constant electric field. We prove the existence of ladders of resonances, the imaginary part of which is exponentially small with the field.

引用

页码：169 / 192

页数：24

共 17 条

[1] ADLER J, 1985, COMMUN MATH PHYS, V100, P161
[2] APPROXIMATE LADDER OF RESONANCES IN A SEMI-INFINITE CRYSTAL
BENTOSELA, F
GRECCHI, V
ZIRONI, F
[J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (35): : 7119 - 7131
[3] BEREZHKOVSKII AM, 1976, FIZ TVERD TELA, V18, P1908
[4] BRIET P, 1988, P HOLZHAU C PARTIAL
[5] BUSLAEV D, 1989, BLOCH ELECTRONS EXTE
[6] COMBES JM, 1989, STARK LADDER RESONAN
[7] Eastham MSP, 1973, SPECTRAL THEORY PERI
[8] HELFFER B, 1985, ANN I H POINCARE-PHY, V42, P127
[9] THE STARK LADDER AND OTHER ONE-DIMENSIONAL EXTERNAL-FIELD PROBLEMS
HERBST, IW
HOWLAND, JS
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 80 (01) : 23 - 42
[10] MARZ C, 1990, THESIS U PARIS SUD

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