Abstract
The interaction of light with matter is often described within the semiclassical framework where light is represented by an external time-dependent vector potential. We show that the transition probabilities so obtained suffer from two drawbacks: their semi-relativistic limit is delicate and they are not gauge invariant. We describe how a gauge-invariant transition probability can be obtained, for which the semi-relativistic limit is well defined. In this way, we obtain a new spin-position term which is not negligible in x-ray magnetic circular dichroism at the K-edge of transition metals.
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References
N. Bouldi, Ch. Brouder, Eur. Phys. J. 90, 246 (2017)
C. Cohen-Tannoudji, B. Diu, F. Laloë, Mécanique Quantique (Hermann, Paris, 1973)
D.H. Kobe, K.-H. Yang, Phys. Rev. A 32, 952 (1985)
L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29 (1950)
M.M. Nieto, Phys. Rev. Lett. 38, 1042 (1977)
Ch. Brouder, M. Alouani, K.H. Bennemann, Phys. Rev. B 54, 7334 (1996)
N. Bouldi, N. J. Vollmers, C.G. Delpy-Laplanche, Y. Joly, A. Juhin, Ph. Sainctavit, Ch. Brouder, M. Calandra, L. Paulatto, F. Mauri, U. Gerstmann, Phys. Rev. B 96, 085123 (2017)
M. Blume, J. Appl. Phys. 51, 3615 (1985)
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Bouldi, N., Brouder, C. (2018). Relativistic Effects and Gauge Invariance in Photon Absorption and Scattering. In: Sébilleau, D., Hatada, K., Ebert, H. (eds) Multiple Scattering Theory for Spectroscopies. Springer Proceedings in Physics, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-319-73811-6_16
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DOI: https://doi.org/10.1007/978-3-319-73811-6_16
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