A nonlinear model for relativistic electrons at positive temperature
Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
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Author
Hainzl, Christian;
Lewin, Mathieu;
Seiringer, RobertISTA 
Abstract
We study the relativistic electron-positron field at positive temperature in the Hartree-Fock approximation. We consider both the case with and without exchange terms, and investigate the existence and properties of minimizers. Our approach is non-perturbative in the sense that the relevant electron subspace is determined in a self-consistent way. The present work is an extension of previous work by Hainzl, Lewin, Séré and Solovej where the case of zero temperature was considered.
Publishing Year
Date Published
2008-11-01
Journal Title
Reviews in Mathematical Physics
Volume
20
Issue
10
Page
1283 - 1307
IST-REx-ID
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Hainzl C, Lewin M, Seiringer R. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 2008;20(10):1283-1307. doi:10.1142/S0129055X08003547
Hainzl, C., Lewin, M., & Seiringer, R. (2008). A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X08003547
Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics. World Scientific Publishing, 2008. https://doi.org/10.1142/S0129055X08003547.
C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic electrons at positive temperature,” Reviews in Mathematical Physics, vol. 20, no. 10. World Scientific Publishing, pp. 1283–1307, 2008.
Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics, vol. 20, no. 10, World Scientific Publishing, 2008, pp. 1283–307, doi:10.1142/S0129055X08003547.
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