Interaction of Two Moving Charged Particles

Compiled half a century ago these marvelous and timeless two volumes of the Feynman lectures on classical mechanics (Vol. I) and electrodynamics (Vol. II) are still invaluable sources of inspiration for both students and researchers with very different scientific backgroimds. The presentation is rather focused on physical ideas and concepts than on mathematical details and is thus ideally suited as a primer. 

Goldstein s classical presentation covers all aspects of classical mechanics on an elementary level suited for imdergraduates. Especially the treatment of Hamiltonian mechanics with its various relations to quantum theory is given much space. 

Landau, E. M. Lifshitz, [53]. Course ofTheoretical Physics. Vol II The Classical Theory of Fields. 

The second volume of the Landau-Lifshitz series on theoretical physics continues directly after volume I and covers the classical theory of fields. It starts with an introduction of Einstein s principle of relativity and a discussion of the special theory of relativity for mechanics. It follows a rather complete presentation of classical electrodynamics including radiation phenomena and scattering of waves of different energy. It concludes with an introduction of gravitational fields, the theory of general relativity and classical relativistic cosmology. 

This book gives a formal and mathematically challenging presentation of classical mechanics. It may be hard to follow for the beginner, but very enlightening for a second course in mechanics. The symplectic structure of Hamiltonian mechanics is presented in detail and coordinate-free expressions employing differential forms are given. A very detailed appendix of more than 200 pages explains the mathematical foundations. 

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Because of the importance of Darwin s expression for the classical electromagnetic interaction of two moving charges (section 3.5), we are particularly interested in the frequency-independent radial form of the Breit operator. This represents the consistent interaction term to approximately include the retarded electromagnetic interaction of the electrons in our semi-classic formalism that describes only the elementary particles (electrons) quantum mechanically. In this long-wavelength limit, m —> 0, the radial operator Vv l,2) in Eq. (9.16) becomes D (l, 2) — already known from the Coulomb case in Eq. (9.9)... 

The joint effect of EOF nonuniformity and particle-wall electrostatic interactions was studied in Ref. 4. Two types of solute particles were examined one with the charge of the same sign as the zeta potential of the wall, and the other of the opposite sign. The particles of the first type are moving electrophoretically in the direction opposite to the direction of EOF and are elec-... 

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