The field of quantum plasmas has a long and diverse tradition and is becoming of increasing current interest, motivated by applications to micro-electronics and to focused high-power lasers. In this book, plasma kinetic theory is developed in a covariant (4-tensor) notation, which facilitates generalizations to include all relativistic and electromagnetic effects. Relativistic quantum effects are included by using quantum electrodynamics (QED) to calculate the plasma response 4-tenors. The effects of the plasma are included in QED by replacing the photon propagator in vacuo by that in the medium, such that the poles of this propagator correspond to the natural wave modes of the medium.
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From the reviews: "The ten chapters and 464 pages book is one of Lecture Notes Series of Monographs on Physics and gives the best introduction to the quantum electrodynamics and the kinetic theory relativistic and non-relativistic charged particles. The author of the book is focusing on interactions between charged particles and the electromagnetic field. ... Materials of the most important part of the book are supported by illustrations. ... useful for advanced graduate students, scientists and all who are interesting on the plasma physics and the confinement systems." (M. J. Canfell, Zentralblatt MATH, Vol. 1158, 2009)