Westview Press, Sep 11, 1998 - Science - 592 pages
Classical Electrodynamics captures Schwinger’s inimitable lecturing style, in which everything flows inexorably from what has gone before. Novel elements of the approach include the immediate inference of Maxwell’s equations from Coulomb’s law and (Galilean) relativity, the use of action and stationary principles, the central role of Green’s functions both in statics and dynamics, and, throughout, the integration of mathematics and physics. Thus, physical problems in electrostatics are used to develop the properties of Bessel functions and spherical harmonics. The latter portion of the book is devoted to radiation, with rather complete treatments of synchrotron radiation and diffraction, and the formulation of the mode decomposition for waveguides and scattering. Consequently, the book provides the student with a thorough grounding in electrodynamics in particular, and in classical field theory in general, subjects with enormous practical applications, and which are essential prerequisites for the study of quantum field theory.An essential resource for both physicists and their students, the book includes a ”Reader’s Guide,” which describes the major themes in each chapter, suggests a possible path through the book, and identifies topics for inclusion in, and exclusion from, a given course, depending on the instructor’s preference. Carefully constructed problems complement the material of the text, and introduce new topics. The book should be of great value to all physicists, from first-year graduate students to senior researchers, and to all those interested in electrodynamics, field theory, and mathematical physics.The text for the graduate classical electrodynamics course was left unfinished upon Julian Schwinger’s death in 1994, but was completed by his coauthors, who have brilliantly recreated the excitement of Schwinger’s novel approach.
Modes and Variations
Macroscopic Current Distributions
Magnetic Scalar Potential
Magnetic Charge II
RadiationField Point of View
RadiationSource Point of View
Action Principle for Electrodynamics
Stationary Principles for Electrostatics
Introduction to Greens Functions
Electrostatics in Free Space
Application of Greens Function
Parallel Conducting Plates
q 0 tr The coordinate z is perpendicular to the page A unit
Modified Bessel Functions
Conducting and Dielectric Spheres
charge at r and the image charges at F rº and F
Dielectrics and Conductors
is no free charge density
Models of Antennas
Spectral Distribution of Radiation
Power Spectrum and Čerenkov Radiation
Constant Acceleration and Impulse
Synchrotron Radiation I
Synchrotron Radiation IIPolarization
Propagation in a Dielectric Medium
Reflection by an Imperfect Conductor
Scattering by Small Obstacles
PartialWave Analysis of Scattering
Dispersion Relations for the Susceptibility
Charged Particle Energy Loss
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angle angular approximation asymptotic atom Bessel functions boundary condition charge density charge distribution charged particle coefficients component conductor conservation consider contribution coordinate cross section current density defined delta function derivative dielectric constant differential equation diffraction dipole direction electric and magnetic electric field electromagnetic electrostatics evaluate expression finite force frequency gauge given Green's function Green’s Hamiltonian image charge implies infinitesimal integral interaction Lagrangian Laplace's equation Larmor formula Lorentz macroscopic magnetic charge magnetic field Maxwell's equations momentum motion obtain plane point charge polarization polynomial power radiated Problems for Chapter produced radiated power radius region relation result ſ dr satisfies scalar scattering sinh ſº solution sphere spherical harmonics stationary surface charge surface integral synchrotron synchrotron radiation theorem unit point charge vacuum vanishes variation vector potential velocity wave zero
Page 320 - If the thumb of the right hand points in the direction of the current, the other fingers point in the direction of the magnetic field.
Page 447 - LIBRARY the surface is assumed to be free of small-scale roughness, ie, the radius of curvature of the surface is much larger than the wavelength of the incident radiation.
Page 399 - there is no formation of a wave zone nor any corresponding radiation." But he also said parenthetically that radiation does occur when two uniform, rectilinear motions are connected by a "portion
Page 401 - Since the force is always perpendicular to the direction of motion no work is done upon the charge and its speed is unaltered ; only the direction of its motion is changed.
Page 86 - BAF is stationary, ie, 6S = 0, for variations about correct path, provided the initial and final configurations are held fixed. On the other hand, if we permit infinitesimal changes of the trajectories xl(t) at the initial and final times, including alterations of those times, the only contribution to 6S comes from the endpoint variations, or 6S = G(t2)—G(t1).
Page 209 - The trilinear coordinates of a point are the perpendicular distances from the origin to the three lines, drawn through the point, parallel to the sides of the triangle. A coordinate is negative if the associated line lies between the origin and the related side.
Page 19 - The first theoretical calculation of the motion of a charged particle in the presence of a single magnetic pole was performed by Poincare in 1896 to explain recent observations.
Page 66 - The second term in (6.24) involves the intrinsic magnetic moment of the atom, f*0, defined by ."*. (6'25) when ra is the position of the ath particle relative to the center of mass of the atom.
Page 208 - Fig, 19,3; a is the common length of the sides, the length of the perpendicular from any apex to the opposite side is...