Some special solutions of the Schrodinger equation

被引:18
|
作者
Barcelo, J. A. [1 ]
Bennett, J. M.
Carbery, A.
Ruiz, A.
Vilela, M. C.
机构
[1] Univ Politecn Madrid, ETSI Caminos, E-28040 Madrid, Spain
[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
[3] Univ Edinburgh, Sch Math, JCMB, Edinburgh EH9 3JZ, Midlothian, Scotland
[4] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
[5] Univ Valladolid, Dept Matemat Aplicada, Segovia 40005, Spain
关键词
schrodinger equations; weighted inequalities;
D O I
10.1512/iumj.2007.56.3016
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe a certain "self-similar" family of solutions to the free Schrodinger equation in all dimensions, and derive some consequences of such solutions for two specific problems.
引用
收藏
页码:1581 / 1593
页数:13
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