Dispersive estimates for Schrodinger operators in dimensions one and three

被引：135

作者：

Goldberg, M ^{[1
]}

Schlag, W ^{[1
]}

机构：

[1] 253 37 CALTECH, Div Phys Math & Astron, Pasadena, CA 91125 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2004年 / 251卷 / 01期

关键词：

D O I：

10.1007/s00220-004-1140-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider L-1 --> L-infinity estimates for the time evolution of Hamiltonians H = - Delta + V in dimensions d = 1 and d = 3 with bound t- d/2. We require decay of the potentials but no regularity. In d = 1 the decay assumption is integral (1+| x|)| V (x)| dx < infinity, whereas in d = 3 it is | V ( x)| <= C( 1 + | x|)(-3-).

引用

页码：157 / 178

页数：22

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