Published September 2018
| Version Submitted
Journal Article
Open
The Maximal Excess Charge in Müller Density-Matrix-Functional Theory
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1.
Ludwig-Maximilians-Universität München
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2.
California Institute of Technology
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3.
Masaryk University
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4.
Pontificia Universidad Católica de Chile
Abstract
We consider an atom described by Müller theory, which is similar to Hartree–Fock theory, but with a modified exchange term. We prove that a nucleus of charge Z can bind at most Z + C electrons, where C is a universal constant. Our proof proceeds by comparison with Thomas–Fermi theory, and a key ingredient is a novel bound on the number of electrons far from the nucleus.
Additional Information
© 2018 Springer International Publishing AG, part of Springer Nature. Received: 04 December 2017; Accepted: 09 April 2018; First Online: 07 July 2018. The authors are grateful to Heinz Siedentop for a motivating discussion. Partial support by U.S. National Science Foundation DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/Doctorado Nacional/2014, Fondecyt Project # 116–0856 and Iniciativa Científica Milenio (Chile) through Millennium Nucleus RC–120002 "Física Matemática" (H.V.D.B.) is acknowledged.Attached Files
Submitted - 1608_05625.pdf
Files
1608_05625.pdf
Additional details
Identifiers
- Eprint ID
- 77073
- DOI
- 10.1007/s00023-018-0695-1
- Resolver ID
- CaltechAUTHORS:20170428-155623144
Related works
- Describes
- 10.48550/arXiv.1608.05625 (DOI)
Funding
- NSF
- DMS-1363432
- FWF Der Wissenschaftsfonds
- P 27533-N27
- Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
- 116-0856
- Iniciativa Científica Milenio del Ministerio de Economía, Fomento y Turismo
- RC-120002
Dates
- Created
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2017-04-28Created from EPrint's datestamp field
- Updated
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2023-09-28Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department