THE ABSENCE OF THE ABSOLUTELY CONTINUOUS-SPECTRUM FOR DELTA' WANNIER-STARK LADDERS

被引：26

作者：

EXNER, P ^{[1
]}

机构：

[1] CZECH TECH UNIV,FNSPE,DOPPLER INST,CR-11519 PRAGUE,CZECH REPUBLIC

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 09期

关键词：

D O I：

10.1063/1.530908

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A modification of the Kronig-Penney model consisting of equidistantly spaced delta' interactions is considered. We prove that an absolutely continuous spectrum of such a system disappears under the influence of an external electric field. The result extends to periodic lattices of nonidentical delta' interactions and potentials which are lower unbounded and, up to a bounded term, asymptotically decreasing with bounded first two derivatives. (C) 1995 American Institute of Physics.

引用

页码：4561 / 4570

页数：10

共 17 条

[1]

Abramowitz M., 1965, HDB MATH FUNCTIONS

[2]

Albeverio S., 1988, SOLVABLE MODELS QUAN

[3] PERIODIC SCHRODINGER-OPERATORS WITH LARGE GAPS AND WANNIER-STARK LADDERS [J].

AVRON, JE ;

EXNER, P ;

LAST, Y .

PHYSICAL REVIEW LETTERS, 1994, 72 (06) :896-899

[4]

AVRON JE, COMMUNICATION

[5] STARK WANNIER LADDERS [J].

BENTOSELA, F ;

GRECCHI, V .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (01) :169-192

[6] 4-PARAMETER POINT-INTERACTION IN 1D QUANTUM-SYSTEMS [J].

CARREAU, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (02) :427-432

[7]

CHERNOFF PR, 1993, J FUNCT ANAL, V111, P92

[8]

Cycon H.L., 1987, TEXTS MONOGRAPHS PHY

[9] WANNIER LADDERS AND PERTURBATION-THEORY [J].

GRECCHI, V ;

MAIOLI, M ;

SACCHETTI, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (07) :L379-L384

[10] ABSENCE OF THE ABSOLUTELY CONTINUOUS-SPECTRUM FOR STARK-BLOCH OPERATORS WITH STRONGLY SINGULAR PERIODIC POTENTIALS [J].

MAIOLI, M ;

SACCHETTI, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (04) :1101-1106

← 1 2 →