Published April 2018
| Published + Submitted
Journal Article
Open
Tosio Kato's work on non-relativistic quantum mechanics: part 1
- Creators
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Simon, Barry
Chicago
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Abstract
We review the work of Tosio Kato on the mathematics of non-relativistic quantum mechanics and some of the research that was motivated by this. Topics in this first part include analytic and asymptotic eigenvalue perturbation theory, Temple–Kato inequality, self-adjointness results, and quadratic forms including monotone convergence theorems.
Additional Information
© 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Received: 8 November 2017; Revised: 18 January 2018; Accepted: 29 January 2018; First Online: 22 February 2018. B. Simon: Research supported in part by NSF Grants DMS-1265592 and DMS-1665526 and in part by Israeli BSF Grant No. 2014337.Attached Files
Published - 10.1007_s13373-018-0118-0.pdf
Submitted - 1711.00528.pdf
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10.1007_s13373-018-0118-0.pdf
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Additional details
- Eprint ID
- 84928
- Resolver ID
- CaltechAUTHORS:20180222-133447211
- NSF
- DMS-1265592
- NSF
- DMS-1665526
- Binational Science Foundation (USA-Israel)
- 2014337
- Created
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2018-02-22Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field