MacKay, Robert S. (2022) Shooting function for 1D Schrödinger operators. Journal of Physics A: Mathematical and General, 55 (26). 264003. doi:10.1088/1751-8121/ac726c ISSN 0305-4470.

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Abstract

For Schrodinger operators with suitable 1D potentials, focussing particularly on those that go to infinity at infinity, a characteristic function is constructed, via shooting functions. It is proved to be entire and its zeroes to be the eigenvalues.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Schrödinger operator, Characteristic functions, Eigenvalues
Journal or Publication Title:	Journal of Physics A: Mathematical and General
Publisher:	IOP Publishing
ISSN:	0305-4470
Official Date:	7 June 2022
Dates:	Date Event 7 June 2022 Published 23 May 2022 Accepted
Volume:	55
Number:	26
Article Number:	264003
DOI:	10.1088/1751-8121/ac726c
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	17 May 2022
Date of first compliant Open Access:	6 June 2022
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID DMS-1440140 [NSF] National Science Foundation (US) http://dx.doi.org/10.13039/100000001
Related URLs:	Publisher
Open Access Version:	ArXiv

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