Some special solutions of the Schr\"odinger equation

JA Barcelo; Jonathan Bennett; A Carbery; A Ruiz; MC Vilela

doi:10.1512/iumj.2007.56.3016

Some special solutions of the Schr\"odinger equation

JA Barcelo, Jonathan Bennett, A Carbery, A Ruiz, MC Vilela

Mathematics

Research output: Contribution to journal › Article

15 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1581-1593
Number of pages	13
Journal	Indiana University Mathematics Journal
Volume	56
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2007.56.3016
Publication status	Published - 1 Jan 2007

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10.1512/iumj.2007.56.3016

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author = "JA Barcelo and Jonathan Bennett and A Carbery and A Ruiz and MC Vilela",

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doi = "10.1512/iumj.2007.56.3016",

language = "English",

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AU - Barcelo, JA

AU - Bennett, Jonathan

AU - Carbery, A

AU - Ruiz, A

AU - Vilela, MC

PY - 2007/1/1

Y1 - 2007/1/1

N2 - 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.

AB - 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.

U2 - 10.1512/iumj.2007.56.3016

DO - 10.1512/iumj.2007.56.3016

M3 - Article

VL - 56

SP - 1581

EP - 1593

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 4

ER -

Some special solutions of the Schr\"odinger equation

Abstract

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