Elements of Green's Functions and Propagation: Potentials, Diffusion, and Waves
Clarendon Press, 1989 - 465 Seiten
This text takes the student with a background in undergraduate physics and mathematics towards the skills and insights needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion, and waves. These are important phenomena in their own right, but this study of the partial differential equations describing them also prepares the student for more advanced applications in many-body physics and field theory. Calculations are carried through in enough detail for self-study, and case histories illustrate the interplay between physical insight and mathematical formalism. The aim is to develop the habit of dialogue with the equations and the craftsmanship this fosters in tackling the problem. The book is based on the author's extensive teaching experience.
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II Dirichlet problems
III Neumann problems
IV Some points of principle
A Notations and formulary
spherical polar coordinates
B The Dirichlet integral
F The Greens functions Go as Fourier integrals
G Dilemmas with notations for boundary and initial
Greens functions for circle
the variational method and
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