8–12 Jul 2019
University of Milano-Bicocca UNIMIB
Europe/Rome timezone

P1.4006 Hidden momentum and conservation laws in relativistic spin-1/2 plasmas

8 Jul 2019, 14:00
2h
Building U6 (University of Milano-Bicocca UNIMIB)

Building U6

University of Milano-Bicocca UNIMIB

Piazza dell’Ateneo Nuovo, 1 20126 Milan, Italy
BSAP Poster P1

Speaker

R. Ekman (EPS 2019)

Description

See the full abstract here:
http://ocs.ciemat.es/EPS2019ABS/pdf/P1.4006.pdf

In both high-intensity laser-matter interactions [1-3] and astrophysical environments with very strong magnetic fields [4], it may be necessary to consider both relativistic effects and the electron spin. To this end, a kinetic model was developed recently [5], based on the FoldyWouthuysen transformation [6, 7] that separates positive and negative energy states of the Dirac equation.
We show [8] that this model conserves electric charge, energy, linear momentum, and angular momentum. In doing so, we find "hidden momentum" [9, 10], a general feature of systems with magnetic moments. We also find that the stress-energy tensor is non-symmetric, common to systems with spin angular momentum. We discuss the non-symmetry of the stress-energy tensor, how to find a symmetric alternative; and touch on the Abraham-Minkowski dilemma.

References
1 D. D. Sorbo, D. Seipt, A. G. R. Thomas, and C. P. Ridgers, Plasma Physics and Controlled Fusion 60, 064003 (2018).
2 M. W. Walser, D. J. Urbach, K. Z. Hatsagortsyan, S. X. Hu, and C. H. Keitel, Phys. Rev. A 65, 043410 (2002).
3 M. Wen, H. Bauke, and C. H. Keitel, Sci. Rep. 6, 31624 (2016).
4 A. K. Harding and D. Lai, Rep. Prog. Phys. 69, 2631 (2006).
5 R. Ekman, F. A. Asenjo, and J. Zamanian, Phys. Rev. E 96, 023207 (2017).
6 L. L. Foldy and S. A. Wouthuysen, Phys. Rev. 78, 29 (1950).
7 A. J. Silenko, Phys. Rev. A 77, 012116 (2008).
8 R. Ekman, H. Al-Naseri, G. Brodin, and J. Zamanian, (in preparation).
9 W. Shockley and R. P. James, Phys. Rev. Lett. 18, 876 (1967).
10 D. Babson, S. P. Reynolds, R. Bjorkquist, and D. J. Griffiths, Am. J. Phys. 77, 826 (2009).

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