OPTIMAL BOUNDS FOR RATIOS OF EIGENVALUES OF ONE-DIMENSIONAL SCHRODINGER-OPERATORS WITH DIRICHLET BOUNDARY-CONDITIONS AND POSITIVE POTENTIALS

被引：37

作者：

ASHBAUGH, MS ^{[1
]}

BENGURIA, RD ^{[1
]}

机构：

[1] UNIV CHILE,FAC CIENCIAS FIS & MATEMAT,DEPT FIS,SANTIAGO,CHILE

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1989年 / 124卷 / 03期

关键词：

D O I：

10.1007/BF01219657

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：403 / 415

页数：13

共 50 条

[1] ONE-DIMENSIONAL SCHRODINGER-OPERATORS WITH RANDOM POTENTIALS
CARMONA, R
[J]. PHYSICA A, 1984, 124 (1-3): : 181 - 187
[2] ONE-DIMENSIONAL SCHRODINGER-OPERATORS WITH RANDOM POTENTIALS - A SURVEY
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[J]. ACTA APPLICANDAE MATHEMATICAE, 1985, 4 (01) : 65 - 91
[3] BEST CONSTANT FOR THE RATIO OF THE 1ST 2 EIGENVALUES OF ONE-DIMENSIONAL SCHRODINGER-OPERATORS WITH POSITIVE POTENTIALS
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[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (03) : 598 - 599
[4] ONE-DIMENSIONAL SCHRODINGER-OPERATORS WITH RANDOM DECAYING POTENTIALS
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USHIROYA, N
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (02) : 247 - 266
[5] LINK BETWEEN PERIODIC POTENTIALS AND RANDOM POTENTIALS IN ONE-DIMENSIONAL SCHRODINGER-OPERATORS
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[J]. LECTURE NOTES IN MATHEMATICS, 1987, 1285 : 256 - 269
[6] ESTIMATES ON THE SPECTRUM OF SCHRODINGER-OPERATORS WITH ATTRACTIVE BOUNDARY-CONDITIONS
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[J]. MATHEMATISCHE NACHRICHTEN, 1989, 142 : 125 - 134
[7] SPECTRAL THEORY OF ONE-DIMENSIONAL SCHRODINGER-OPERATORS WITH STRONGLY FLUCTUATING POTENTIALS
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[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1991, 25 (03) : 236 - 238
[8] SPECTRAL PROPERTIES OF ONE-DIMENSIONAL SCHRODINGER-OPERATORS WITH POTENTIALS GENERATED BY SUBSTITUTIONS
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[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 158 (01) : 45 - 66
[9] BOUNDARY-CONDITIONS FOR ONE-DIMENSIONAL POSITIVE SEMIGROUPS
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[J]. SEMIGROUP FORUM, 1992, 45 (01) : 92 - 119
[10] ONE-DIMENSIONAL RANDOM SCHRODINGER-OPERATORS - A SURVEY
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[J]. JOURNAL OF STATISTICAL PHYSICS, 1984, 36 (1-2) : 278 - 278

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