LOCALIZATION FOR A CLASS OF ONE-DIMENSIONAL QUASI-PERIODIC SCHRODINGER-OPERATORS

被引：148

作者：

FROHLICH, J

SPENCER, T

WITTWER, P

机构：

[1] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540

[2] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 132卷 / 01期

关键词：

D O I：

10.1007/BF02277997

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove for small e{open} and α satisfying a certain Diophantine condition the operator {Mathematical expression} has pure point spectrum for almost all θ. A similar result is established at low energy for {Mathematical expression} provided K is sufficiently large. © 1990 Springer-Verlag.

引用

收藏

页码：5 / 25

页数：21

相关论文

共 15 条

[1]

Aubry S., 1978, SOLID STATE SCI SOLI, V8, P264

[2] ALMOST PERIODIC SCHRODINGER-OPERATORS .2. THE INTEGRATED DENSITY OF STATES [J].

AVRON, J ;

SIMON, B .

DUKE MATHEMATICAL JOURNAL, 1983, 50 (01) :369-391

[3] A METAL-INSULATOR-TRANSITION FOR THE ALMOST MATHIEU MODEL [J].

BELLISSARD, J ;

LIMA, R ;

TESTARD, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 88 (02) :207-234

[4]

Berezanski1 J. M., 1968, TRANSL MATH MONOGRAP, V17

[5] ABSENCE OF LOCALIZATION IN THE ALMOST MATHIEU EQUATION [J].

DELYON, F .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (01) :L21-L23

[6]

Dinaburg E. I., 1975, FUNKT ANAL PRILOZHEN, P279, DOI [DOI 10.1007/BF01075873, 10.1007/BF01075873]

[7] ABSENCE OF DIFFUSION IN THE ANDERSON TIGHT-BINDING MODEL FOR LARGE DISORDER OR LOW-ENERGY [J].

FROHLICH, J ;

SPENCER, T .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 88 (02) :151-184

[8] CONSTRUCTIVE PROOF OF LOCALIZATION IN THE ANDERSON TIGHT-BINDING MODEL [J].

FROHLICH, J ;

MARTINELLI, F ;

SCOPPOLA, E ;

SPENCER, T .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 101 (01) :21-46

[9] A METHOD FOR REDUCING LYAPOUNOV EXPONENTS AND SOME EXAMPLES SHOWING THE LOCAL CHARACTER OF A THEOREM BY ARNOLD AND MOSER ON THE TWO-DIMENSIONAL CORE [J].

HERMAN, MR .

COMMENTARII MATHEMATICI HELVETICI, 1983, 58 (03) :453-502

[10] UNIVERSAL LOWER BOUNDS ON EIGENVALUE SPLITTINGS FOR ONE DIMENSIONAL SCHRODINGER-OPERATORS [J].

KIRSCH, W ;

SIMON, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 97 (03) :453-460