Some special solutions of the Schrodinger equation

A. Carbery; J. M. Bennett; J. A. Barcelo; A. Ruiz; M. C. Vilela

doi:10.1512/iumj.2007.56.3016

Some special solutions of the Schrodinger equation

A. Carbery, J. M. Bennett, J. A. Barcelo, A. Ruiz, M. C. Vilela

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

We describe a certain “self-similar” family of solutions to the free Schr¨odinger equation in all dimensions, and derive some consequences of such solutions for two specific problems.

Original language	English
Pages (from-to)	1581-1593
Journal	Indiana University Mathematical Journal
Volume	56
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2007.56.3016
Publication status	Published - Apr 2007

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10.1512/iumj.2007.56.3016

http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=3016&year=2007&volume=56

Cite this

@article{09c035295a8b42f182477e8ff5038cba,

title = "Some special solutions of the Schrodinger equation",

abstract = "We describe a certain “self-similar” family of solutions to the free Schr¨odinger equation in all dimensions, and derive some consequences of such solutions for two specific problems.",

author = "A. Carbery and Bennett, {J. M.} and Barcelo, {J. A.} and A. Ruiz and Vilela, {M. C.}",

year = "2007",

month = apr,

doi = "10.1512/iumj.2007.56.3016",

language = "English",

volume = "56",

pages = "1581--1593",

journal = "Indiana University Mathematical Journal",

number = "4",

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TY - JOUR

T1 - Some special solutions of the Schrodinger equation

AU - Carbery, A.

AU - Bennett, J. M.

AU - Barcelo, J. A.

AU - Ruiz, A.

AU - Vilela, M. C.

PY - 2007/4

Y1 - 2007/4

N2 - We describe a certain “self-similar” family of solutions to the free Schr¨odinger 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 Schr¨odinger 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 Mathematical Journal

JF - Indiana University Mathematical Journal

IS - 4

ER -

Some special solutions of the Schrodinger equation

Abstract / Description of output

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