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Jwkb and Related Bounds on Schrödinger Eigenfunctions

 

作者: E. B. Davies,  

 

期刊: Bulletin of the London Mathematical Society  （WILEY Available online 2016）
卷期: Volume 14, issue 4  

页码: 273-284

 

ISSN:0024-6093

 

年代: 2016

 

DOI:10.1112/blms/14.4.273

 

出版商: Oxford University Press

 

数据来源: WILEY

 

摘要:

We present the JWKB theory for eigenfunctions of the Schrödinger equation in a manner which avoids completely any operator theory, and also any assumption that the eigenfunction is square integrable. Our approach is purely local in character, so thatnoassumptions about the form of the Schrödinger equation outside the asymptotic region are needed.

 

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