Published April 2019
| Published
Journal Article
Open
Tosio Kato's work on non-relativistic quantum mechanics: part 2
- Creators
-
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 second part include absence of embedded eigenvalues, trace class scattering, Kato smoothness, the quantum adiabatic theorem and Kato's ultimate Trotter Product Formula.
Additional Information
© 2018 The Author(s). This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. Received: 8 November 2017; Revised: 18 January 2018; Accepted: 20 January 2018; First Online: 22 February 2018. Research supported in part by NSF Grants DMS-1265592 and DMS-1665526 and in part by Israeli BSF Grant No. 2014337.Attached Files
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Additional details
- Eprint ID
- 84927
- DOI
- 10.1007/s13373-018-0121-5
- Resolver ID
- CaltechAUTHORS:20180222-132115517
- 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