Published March 2018
| Submitted
Journal Article
Open
The ionization conjecture in Thomas-Fermi-Dirac-von Weizsäcker theory
Chicago
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Abstract
We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.
Additional Information
© 2017 Wiley Periodicals, Inc. Issue online: 17 January 2018; Version of record online: 4 October 2017; Manuscript Received: June 2016. We thank the referee for helpful suggestions which improved the presentation of the paper. 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 and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 "Física Matemática" (H.V.D.B.) is acknowledged.Attached Files
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Additional details
- Eprint ID
- 77090
- Resolver ID
- CaltechAUTHORS:20170501-083145482
- NSF
- DMS-1363432
- FWF Der Wissenschaftsfonds
- P 27533-N27
- Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
- Iniciativa Científica Milenio
- RC-120002
- Created
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2017-05-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field